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The high-order exponential semi-implicit scalar auxiliary variable approach for the general nonlocal Cahn-Hilliard equation Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-24 Xiaoqing Meng, Aijie Cheng, Zhengguang Liu
The nonlocal Cahn-Hilliard equation with nonlocal diffusion operator is more suitable for the simulation of microstructure phase transition than the local Cahn-Hilliard equation. In this paper, based on the exponential semi-implicit scalar auxiliary variable method, the highly efficient and accurate schemes (in time) with unconditional energy stability for solving the nonlocal Cahn-Hilliard equation
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A novel discontinuous Galerkin projection scheme for the hydrodynamics of nematic liquid crystals Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-22 Zhihui Zheng, Guang-an Zou, Bo Wang
This paper is focused on the numerical approximations for the hydrodynamic model of nematic liquid crystals. Under the framework of a splitting projection method, we propose a novel interior penalty discontinuous Galerkin (DG) method for solving the coupled system, which is employed by combining the scalar auxiliary variables (SAV) approach, implicit-explicit (IMEX) treatments and a rotational pressure-correction
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Integrable deformations of Rikitake systems, Lie bialgebras and bi-Hamiltonian structures Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-21 Angel Ballesteros, Alfonso Blasco, Ivan Gutierrez-Sagredo
Integrable deformations of a class of Rikitake dynamical systems are constructed by deforming their underlying Lie–Poisson Hamiltonian structures, which are considered linearizations of Poisson–Lie structures on certain (dual) Lie groups. By taking into account that there exists a one-to one correspondence between Poisson–Lie groups and Lie bialgebra structures, a number of deformed Poisson coalgebras
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Regulation of spike propagation in feedforward neural networks through short-term synaptic plasticity Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-21 Dahai Yang, Yuancheng Zhang, Hengtong Wang, Yong Chen
Both factors, multilayer Feedforward Neural Networks (FFNs) and short-term synaptic plasticity (STP), are considered crucial in the transmission and processing of neural signals. In this study, a 10-layer FFN was constructed to study the impact of STP on neuronal activity propagation. Neurons within the same layer do not have direct connections; instead, neurons between adjacent layers are randomly
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Discontinuous polynomial approximation in electrical impedance tomography with total variational regularization Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-20 Bangti Jin, Yifeng Xu, Jingrong Yang, Kai Zhang
In this paper, we present an alternative discrete total variation type functional for image reconstruction in electrical impedance tomography. The modified functional deals with unknown inclusions and values of conductivity. The convergence of the proposed finite element method with uniform refinement is also established: the sequence of discrete solutions contains a subsequence that converges to a
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How do time delays influence dynamics and controls of a generalized SEAIR model? Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-18 Jianguo Deng, Huili Xiang
Given the critical role of time delays in epidemic modeling, this paper delves into the dynamics and finite-time optimal stabilization of a novel epidemic system characterized by such delays. Our findings reveal that time delays significantly influence both the system’s dynamics and the formulation of an optimal control strategy. Specifically, the system’s endemic equilibrium point remains locally
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A novel optimal control strategy for nutrient–phytoplankton–zooplankton model with viral infection in plankton Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-18 R.N. Premakumari, Chandrali Baishya, Mohammad Esmael Samei, Manisha Krishna Naik
This paper presents a mathematical model that explores the intricate dynamics between nutrients, phytoplankton, and zooplankton populations, incorporating viral infection phenomena in the frame of the Caputo fractional derivative. The conceptual properties such as the existence, uniqueness, and stability of multiple equilibria are analyzed under specific conditions. We have defined some threshold parameters
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Multi-origins of pathological theta oscillation from neuron to network inferred by a combined data and model study with cubature Kalman filter Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-17 Jixuan Wang, Bin Deng, Jiang Wang, Lei Xiang, Tianshi Gao, Haitao Yu, Chen Liu
The brain rhythm is strongly associated with the brain function. Alzheimer's disease (AD) is characterized reflected by the brain rhythm switching from the alpha band (9–12 Hz) to the theta band (4–8 Hz), accompanied with the loss of brain function. However, extracting the implicating intrinsic characteristic variations of the brain network by utilizing the Electroencephalogram (EEG) information is
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Adaptive fuzzy asymptotic predefined-time tracking control of uncertain nonlinear systems based on event-trigger Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-17 Yebin Li, Dongshu Wang, Longkun Tang
This paper proposes an event-triggered adaptive fuzzy asymptotic predefined-time controller for uncertain nonlinear systems (UNS) subject to external disturbances. By introducing a set of well-designed asymptotic performance adjustment (APA) functions, we establish a general framework for analyzing asymptotic predefined-time stability (APDTS). Under the control scheme based on the established framework
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Complex dynamics in prey-predator systems with cross-coupling: Exploring nonlinear interactions and population oscillations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-14 Deeptajyoti Sen, Lenka Přibylová
This study investigates the problem of ecosystem dynamics in fragmented landscapes, specifically focusing on a two-patch environment with interacting prey and predators. The research examines the impact of cross-predation on these interactions. Using bifurcation analysis, we explored the structural arrangement of attractors and identified complex dynamics such as symmetric, asymmetric, and asynchronous
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Spatial and temporal dynamics of thermal motion of a chain of liquid lead nanoinclusions attached to a fixed dislocation segment in an aluminum matrix Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-13 Sergei I. Prokofjev
Thermal motion of a chain of liquid lead nanoinclusions attached to a dislocation segment fixed at its ends in the aluminum-based alloy was studied using TEM in the temperature range from 442 °C to 497 °C. The projections of points of the trajectories of the inclusions onto the dislocation line were analyzed. The evidence for the collective interaction of all the inclusions and their spatially correlated
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Intermittent event-triggered control for exponential synchronization of delayed neural networks on time Scales Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-13 Ruihong Liu, Chuan Zhang, Yingxin Guo, Xianfu Zhang
This paper studies the exponential synchronization of delayed neural networks (DNNs) on time scales using the intermittent event-triggered control (IETC) method. Initially, considering the time scale situation, an IETC that merges intermittent control and event-triggered control is introduced, and a new differential inequality is developed. Subsequently, an exponential synchronization criterion is
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Finite-time consensus of second-order multi-agent connectivity preserving based on adaptive sliding mode control Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-13 Yiping Luo, Weijie Huang, Jinde Cao, Zhe Cao
This study addresses the problem of robust finite-time connectivity preserving consensus for second-order multi-agent systems (MASs) with a limited communication range. Considering that the communication ability of agents in practical applications is limited, this study introduces an innovative approach to the consensus protocol, which involves the incorporation of a potential function aimed at ensuring
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The dance of neurons: Exploring nonlinear dynamics in brain networks Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-12 Maryam Saadati, Saba Sadat Khodaei, Yousef Jamali
The brain is a complex, nonlinear system, exhibiting ever-evolving patterns of activities, whether in the presence or absence of external stimuli or task demands. Nonlinearity can notably obscure the link between structural constraints enforced on the interaction and its dynamical consequences. Suitable nonlinear dynamical models and their analysis serve as essential tools not only for bridging structural
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Dissipativity-based robust filter design for singular fuzzy systems with dynamic quantization and event-triggered mechanism Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-12 Qian Yang, Xiao-Heng Chang
This paper focus on the design issue of event-based dissipative filter for quantized nonlinear singular systems. To save the communication resource, we employ a dynamic quantizer to quantized the measurement output signal prior to transmitting it to the filter via digital communication. Furthermore, the paper also presents an event-triggered mechanism for determining the transmission of the quantized
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Fixed/Preassigned-time synchronization of quaternion-valued BAM neural networks: An event-based non-separation control method Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-11 Shichao Jia, Cheng Hu, Liang Feng, Tingting Shi, Haijun Jiang
Quaternions provide expressive power beyond real numbers, allowing neural networks to capture and process correlations and patterns in data with greater complexity. Besides, event-triggering mechanism has significant advantages in reducing redundant data transmission and control costs, since the sampling instant is determined by preset trigger conditions. Based on these fact, this article investigates
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Extremization to fine tune physics informed neural networks for solving boundary value problems Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-10 Abhiram Anand Thiruthummal, Sergiy Shelyag, Eun-jin Kim
We propose a novel method for fast and accurate training of physics-informed neural networks (PINNs) to find solutions to boundary value problems (BVPs) and initial boundary value problems (IBVPs). By combining the methods of training deep neural networks (DNNs) and Extreme Learning Machines (ELMs), we develop a model which has the expressivity of DNNs with the fine-tuning ability of ELMs. We showcase
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Global exponential synchronization of BAM memristive neural networks with mixed delays and reaction–diffusion terms Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-08 Huihui Chen, Minghui Jiang, Junhao Hu
Based on -norm, this paper investigates global exponential synchronization (GES) for BAM memristive neural networks (BAMMNNs) with mixed delays and reaction–diffusion (RD) terms. Different from the existing literatures, this paper discusses the GES of the NNs based on a new integral inequality with infinite distributed delay. This method is based on inequality technique and comparison principle, which
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A second-order Strang splitting scheme for the generalized Allen–Cahn type phase-field crystal model with FCC ordering structure Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-08 Ying Ye, Xinlong Feng, Lingzhi Qian
In this paper, we consider the generalized Allen–Cahn-type phase-field crystal model with face-centered-cubic ordering structure (PFC-FCC). Due to the combined complexity of the eighth-order spatial derivative and inherent nonlinearity, it poses a significant challenge to design a numerical scheme of high accuracy, stability, and efficiency to solve the PFC-FCC model. Endeavoring towards this objective
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Projective synchronization in fixed/predefined-time for quaternion-valued BAM neural networks under event-triggered aperiodic intermittent control Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-08 Xuejiao Qin, Haijun Jiang, Jianlong Qiu, Cheng Hu, Xinman Li
This study aims to solve the fixed/predefined-time projective synchronization (FTPS/PTPS) of quaternion-valued BAM neural networks (BAMNNs) through event-triggered aperiodic intermittent control (ETAIC). Firstly, a novel quaternion-valued BAMNN model is established by integrating discontinuous activations, parameter uncertainties and time-varying delays. Subsequently, under the framework of the non-separation
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Stochastic non-fragile guaranteed cost control for IT2 fuzzy SMJSs under hybrid-triggered scheme and random deception attacks with application to MSD mechanical system Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-08 Yifan Wu, Guangming Zhuang, Qian Ma, Yanqian Wang
This paper researches the stochastic non-fragile guaranteed cost control for interval type-2 (IT2) fuzzy singular Markovian jump systems under hybrid-triggered scheme and random deception attacks. A hybrid-triggered scheme including a time trigger and an event trigger is adopted to relieve the strain on network transmission. Through constructing mode-dependent Lyapunov–Krasovskii (L–K) functional and
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A hybrid variational method for beam propagation and interaction in a graded-index nonlinear waveguide Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-07 Tran Ky Vi, Nguyen Dang Quang Huy, Tran Chi Quy, Bui Duc Tinh, Le Minh Thu, Doan Quang Tri, Marek Trippenbach, Nguyen Viet Hung
The hybrid variational method can be used to simplify multidimensional numerical simulations. We examine the applicability of this method to study the nonlinear propagation of a single beam and the interference of two spatial soliton beams in a graded-index optical waveguide governed by a two-dimensional nonlinear Schrodinger equation. We classified three distinct regimes of the dynamics that emerge
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Stability analysis of linear systems with multiple time-varying delays via a region partitioning approach and reciprocally convex combination lemmas Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-07 Xianwen Xiong, Xianshuang Yao, Zhanjun Huang
The delays-dependent stability analysis of linear systems with multiple time-varying delays is addressed in this study. To estimate the integral term that results from the differentiation of Lyapunov–Krasovskii functional (LKF), an improved region partitioning approach and relaxed lemmas are proposed. Based on all the delayed state information, the maximum delay interval is separated into non-overlapping
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Stabilization of impulsive hybrid stochastic differential equations with Lévy noise by feedback control based on discrete-time state observations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-07 Xin Liu, Pei Cheng
In this paper, we investigate the problem of the mean-square exponential stabilization for a class of unstable impulsive hybrid stochastic differential equations with Lévy noise (IHSDEs-LN) via feedback control based on discrete-time state observations. Our results show that if feedback control of continuous-time observations can stabilize the controlled system in the sense of mean-square exponential
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On solitary-wave solutions of Rosenau-type equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-07 Angel Durán, Gulcin M. Muslu
The present paper is concerned with the existence of solitary wave solutions of Rosenau-type equations. By using two standard theories, Normal Form Theory and Concentration-Compactness Theory, some results of existence of solitary waves of three different forms are derived. The results depend on some conditions on the speed of the waves with respect to the parameters of the equations. They are discussed
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Effect of the chaotic signal on the firing frequency of Morris-Lecar neurons Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-07 Ramazan Solmaz
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Time two-grid fitted scheme for the nonlinear time fractional Schrödinger equation with nonsmooth solutions Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-07 Zhibo Wang, Mingcong Xiao, Yan Mo
In this paper, we delve into the regularity properties and the development of an efficient numerical strategy for addressing the nonlinear time-fractional Schrödinger equation. Initially, we embark on an examination of the solution’s regularity, followed by an investigation into regularity enhancement through the application of the Laplace and finite Fourier sine transforms. Subsequently, after the
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A nonconservative kinetic model under the action of an external force field for modeling the medical treatment of autoimmune response Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-06 Marco Menale, Romina Travaglini
In this paper, we develop a nonconservative kinetic framework to be applied to the study of immune system dysregulation. From the modeling viewpoint, the model regards a system composed of stochastically interacting agents, under the action of an eternal force field. According to the application perspectives of this paper, the external force field has a specific analytical shape. In this case, some
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Protocol-based state estimation of two-time-scale complex networks with nonhomogeneous sojourn probabilities Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-06 Linghuan Kong, Mengzhuo Luo, Jun Cheng, Huaicheng Yan, Iyad Katib, Kaibo Shi
This paper is dedicated to researching the problem of the state estimation for two-time-scale complex networks (TTSCNs) subject to sojourn probabilities (SPs) under channel fadings and false data injection attacks (FDIAs). The network’s switching topology is governed by a novel switching law that incorporates time-varying SPs, with the variation of SPs being regulated through a persistent dwell-time
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Multi-direction vibration isolation with tunable QZS performance via novel X-mechanism design Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-05 Caoqun Luo, Zhenghan Zhu, Yingqing Guo, Jiqiang Wang, Xingjian Jing
Passive vibration suppression in multiple directions is highly demanded in engineering practices. Based on the X-shaped mechanism, a planar 3-DOF passive vibration isolation with a tunable QZS mechanism is proposed in this study. A specially designed adjustable X-mechanism is integrated with a supporting X-structure to achieve considerable flexibility and easiness in nonlinear stiffness design of a
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Traffic flow bifurcation control of autonomous vehicles through a hybrid control strategy combining multi-step prediction and memory mechanism with PID Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-05 Shu-Tong Wang, Yun-Long Zhuang, Wen-Xing Zhu
This paper is committed to capturing the dynamic behaviors of homogenous flow of autonomous vehicles (AVs), and exploring the control strategies to improve traffic conditions, which can alleviate traffic congestion and improve traffic efficiency. Firstly, a car-following model of AVs considering real-time driving state is established. Secondly, based on bifurcation theory and stability theory, bifurcation
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Evaluating the uncertainty in mean residual times: Estimators based on residence times from discrete time processes Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-03 Hernán R. Sánchez, Javier Garcia
In this work, we propose estimators for the variance of mean residual times, which rely on individual residence times. The latter are assumed to be described by independent and identically distributed random variables, generated by a discrete-time stochastic process. We examine their performance through numerical experiments involving well-known probability distributions, and an application example
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An adaptive algorithm for numerically solving fractional partial differential equations using Hermite wavelet artificial neural networks Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-01 Amina Ali, Norazak Senu, Nadihah Wahi, Naif Almakayeel, Ali Ahmadian
This study aims to develop a new strategy for solving partial differential equations with fractional derivatives (FPDEs) using artificial neural networks (ANNs). Numerical solutions to FPDEs are obtained through the Hermite wavelet neural network (HWNN) model. The Caputo fractional derivative is consistently applied throughout the research to address fractional-order partial differential problems.
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Nonlinear two-component system of time-fractional PDEs in [formula omitted]-dimensions: Invariant subspace method combined with variable transformation Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-01 P. Prakash, K.S. Priyendhu, M. Lakshmanan
In this article, we develop a systematic approach of the invariant subspace method combined with variable transformation to find the generalized separable exact solutions of the nonlinear two-component system of time-fractional PDEs (TFPDEs) in -dimensions for the first time. Also, we explicitly explain how to construct various kinds of finite-dimensional invariant linear product spaces for the given
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Numerical energy dissipation for time fractional volume-conserved Allen–Cahn model based on the ESAV and R-ESAV approaches Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-01 Hui Yu, Ping Lin
In this study, we consider volume-conserved numerical schemes for the volume-conserved time fractional Allen–Cahn equation. We start with the L1 scheme based on a modified exponential scalar auxiliary variable (ESAV) approach for handling the nonlinear potential term. Then we introduce the fast L1 scheme to significantly reduce the CPU time and to make the long-term computation possible. Further to
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Dynamical behaviors of a network-based SIR epidemic model with saturated incidence and pulse vaccination Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-01 Gui Guan, Zhenyuan Guo, Yanyu Xiao
Pulse vaccination is an effective strategy to restrain the spread of infectious diseases. This paper proposes a network-based SIR epidemic model incorporating a saturated force of infection and vertical transmission along with pulse vaccination strategy and continuous treatment plan. Dynamical behaviors of the model are analyzed in virtue of the theory for impulsive differential equations. We give
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Energy-informed graph transformer model for solid mechanical analyses Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-31 Bo Feng, Xiaoping Zhou
Physics-informed neural network (PINN) exists some challenges, such as independent and uncorrelated drawbacks leading to convergence impediments, limited interpretability and lack of generalization. In this paper, a novel energy-informed graph transformer model is proposed to overcome the drawbacks of PINN. In the proposed model, the graph neural network-based-attention mechanism is proposed to dynamically
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Time-fractional fabric to quantify non-Fickian diffusion in porous media: New vision from previous studies Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-31 O.O. Zhokh, P.E. Strizhak
The diffusion kinetics of different substances in porous media is a priori described by the second Fick's law of diffusion. Herein, we demonstrate that such a description sometimes yields erratic results. In contrast, the time-fractional diffusion equation is found to reflect the diffusion kinetics in the case of Fick's law failure. The analytic solutions of the time-fractional diffusion equation are
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High multiplicity of positive solutions in a superlinear problem of Moore–Nehari type Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-31 Pablo Cubillos, Julián López-Gómez, Andrea Tellini
In this paper we consider a superlinear one-dimensional elliptic boundary value problem that generalizes the one studied by Moore and Nehari in Moore and Nehari (1959). Specifically, we deal with piecewise-constant weight functions in front of the nonlinearity with an arbitrary number of vanishing regions. We study, from an analytic and numerical point of view, the number of positive solutions, depending
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[formula omitted] synthetic acceleration and positivity-preserving schemes for solving the neutron transport equation Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-29 Daming Yuan, Yongbo Yu, Huasheng Zheng
For the numerical solution of neutron transport equations, both the positivity-preserving property and speeding up the iterative convergence are important and challenging issues. In this work, the combination of the synthetic acceleration method and a positivity-preserving scheme are derived and analyzed. For the neutron transport and the equations, we discretize them by the linear discontinuous differencing
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A two-grid decoupled penalty finite element method for the stationary Stokes–Darcy problem Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-29 Wei-Wei Han, Yao-Lin Jiang
In this paper, a two-grid decoupled penalty finite element method has been constructed for solving the mixed Stokes–Darcy model. We first introduce a penalty Stokes–Darcy model based on the penalty method at the continuous level and then show its solution converges to the original one as where the penalty parameter is . Then a two-grid method is used to decouple the penalty model. On the coarse mesh
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A new class of fractional Navier–Stokes system coupled with multivalued boundary conditions Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-29 Jianwei Hao, Mengmeng Li
This paper is devoted to exploring the fractional incompressible Navier–Stokes system coupled with a fractional reaction–diffusion equation involving multivalued boundary conditions and weakly continuous operators. Under suitable conditions, the solvability of the coupled system is established by the Rothe method, a surjectivity result for multivalued mappings, and a fixed point argument for a fractional
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Constraint-preserved numerical schemes with decoupling structure for the Ericksen–Leslie model with variable density Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-28 Xin Zhang, Danxia Wang, Jianwen Zhang, Hongen Jia
In this paper, first- and second-order numerical schemes are developed for the Ericksen–Leslie model with variable density. The influence of variable density leads to some conflicts between decoupling and unconditional energy stability. We overcome it by special discretization and extra-fractional-step method. The fully decoupled structures are obtained by using the scalar auxiliary variable (SAV)
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Convergence of two-step inertial Tseng’s extragradient methods for quasimonotone variational inequality problems Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-28 Vu Tien Dung, Pham Ky Anh, Duong Viet Thong
This paper introduces two-step inertial Tseng’s extragradient methods with self-adaptive step sizes for solving quasimonotone variational inequalities in real Hilbert spaces. Under suitable conditions on the iterative parameters, weak convergence of the sequence generated by the proposed algorithms is obtained. Numerical results demonstrate the efficiency of the methods compared to others available
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A new approach of B-spline wavelets to solve fractional differential equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-28 Abdollah Elahi, Safar Irandoust-pakchin, Asghar Rahimi, Somaiyeh Abdi-mazraeh
This paper presents a groundbreaking method for solving the multi-order fractional differential (M-OFD), both linear and nonlinear, as well as fractional partial differential equations (FPDE)s. This approach involves constructing an operational matrix of fractional derivatives using linear B-spline (LB-S) wavelet functions with perfect subtlety. The new method has two crucial features. Firstly, it
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Error estimate of a fully decoupled numerical scheme based on the Scalar Auxiliary Variable (SAV) method for the Boussinesq system Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-25 Jun Zhang, Lianghong Yuan, Hu Chen
In this paper, we will investigate the unconditional stability and error estimate of the fully decoupled numerical scheme for the Boussinesq equations. The newly constructed numerical scheme is based on the pressure correction technique and the SAV method, in which all coupling terms and nonlinear terms are completely decoupled, that is, we only need to solve several linear constant-coefficient equations
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A stochastic model for the early stages of highly contagious epidemics by using a state-dependent point process Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-25 Jonathan A. Chávez Casillas
The recent COVID-19 pandemic has shown that when the reproduction number is high and there are no proper measurements in place, the number of infected people can increase dramatically in a short time, producing a phenomenon that many stochastic SIR-like models cannot describe: overdispersion of the number of infected people (i.e., the variance of the number of infected people during any interval is
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A geometric framework for distributed frequency models Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-25 Vishnuram Arumugam, Augusto Ferrante, Lorenzo Ntogramatzidis, Fabrizio Padula
Geometric control theory, developed by Basile and Marro, and independently, by Wonham and Morse in the 1970s revolves around characterizing the properties of finite dimensional, linear and time-invariant systems using geometry. Some examples of these properties are invariance, controllability and observability. The task addressed in this paper is to develop the geometric tools for fractional systems
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Adaptive neural network-based practical predefined-time nonsingular terminal sliding mode control for upper limb rehabilitation robots Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-25 Jianxiong Li, Qingqing Wang, Yiming Fang
This article investigates the predefined time trajectory tracking control problem of upper limb rehabilitation robots in the presence of the model uncertainty and external disturbances. An adaptive neural network-based practical predefined-time fast nonsingular terminal sliding-mode control (PPT-FNTSMC) strategy is proposed, in which a novel sliding mode surface is constructed to achieve predefined-time
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Mathematical analysis and multiscale derivation of a nonlinear predator–prey cross-diffusion–fluid system with two chemicals Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-25 Mostafa Bendahmane, Fahd Karami, Driss Meskine, Jacques Tagoudjeu, Mohamed Zagour
A nonlinear cross-diffusion–fluid system with chemicals terms describing the dynamics of predator–prey living in a Newtonian fluid is proposed in this paper. The existence of weak solution for the proposed macro-scale system is proved on the basis of the Schauder fixed-point theory, a priori estimates, and compactness arguments. The proposed system is derived from the underlining description delivered
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Partially explicit splitting scheme with explicit–implicit-null method for nonlinear multiscale flow problems Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-24 Yating Wang, Wing Tat Leung
In this work, we present an efficient approach to solve nonlinear high-contrast multiscale diffusion problems. We incorporate the explicit–implicit-null (EIN) method to separate the nonlinear term into a linear term and a damping term, and then utilize the implicit and explicit time marching scheme for the two parts respectively. Due to the multiscale property of the linear part, we further introduce
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A time scale approach for analyzing pathogenesis of ATL development associated with HTLV-1 infection Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-23 Elvan Akın, Neslihan Nesliye Pelen
In this paper, mathematical modeling of the dynamics of Human T-cell lymphotropic virus type I (HTLV-1) infection and the development of adult T-cell leukemia (ATL) cells is investigated by a time scale approach. The proposed models, constructed by nonlinear systems of first-order difference equations and -difference equations, characterize the relationship among uninfected, latently infected, actively
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Weak synaptic connections may facilitate spiral wave formation under source-sink interactions Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-23 Dorsa Nezhad Hajian, Fatemeh Parastesh, Karthikeyan Rajagopal, Sajad Jafari, Matjaž Perc
This study explores the interaction between two distinct sites, termed the source and the sink, to analyze the possibility of spiral wave formation. To this aim, a grid of memristive FitzHugh–Nagumo elements is designed to simulate biological excitable media, such as the myocardium. The source, characterized by high excitation levels with a gradual increase in the recovery variable, is primed to generate
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Error analysis of energy-conservative BDF2–FE scheme for the 2D Navier–Stokes equations with variable density Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-23 Jingjing Pan, Wentao Cai
In this paper, we present an error estimate of a second-order linearized finite element (FE) method for the 2D Navier–Stokes equations with variable density. In order to get error estimates, we first introduce an equivalent form of the original system. Later, we propose a general BDF2-FE method for solving this equivalent form, where the Taylor–Hood FE space is used for discretizing the Navier–Stokes
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A graph-theoretic method to the existence of stationary distribution of stochastic multi-layer networks with Markovian switching Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-22 Ran Li, Chunmei Zhang, Hui Yang, Huiling Chen
This paper is concerned with the existence of stationary distribution of stochastic multi-layer networks with Markovian switching (SMLNMS). Fitst, a new complex network model is proposed, that is stochastic coupled system driven by Brownian motion and Markovian switching. White noise, telegraph noise, intra-layer and inter-layer couplings are considered in model. Then, in view of graph theory, M-matrix
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Event-triggered synchronization control for fractional-order IT2 fuzzy multi-weighted complex dynamical networks with deception attacks Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-22 Ramalingam Sakthivel, Oh-Min Kwon, Myeong-Jin Park, Rathinasamy Sakthivel
This paper deals with the event-based synchronization control issue for fractional-order interval type-2 (IT2) fuzzy complex dynamical networks subject to deception attacks and multi-weights. An event-triggered protocol modulates transmission frequency by relying on previously released packets, which reduces unnecessary data transmission and saves network resources. The randomly occurring deception
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Observer-based fuzzy control for fractional order PMSG wind turbine systems with adaptive quantized-mechanism Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-21 Chendrayan Dineshkumar, Jae Hoon Jeong, Young Hoon Joo
This study aims to present an observer-based fuzzy control approach for a wind turbine system (WTS) equipped with a fractional-order permanent magnet synchronous generator (PMSG) by utilizing an adaptive quantized-mechanism. To do this, firstly, the fractional order control is introduced into the nonlinear PMSG model to improve the convergence rate beyond the existing integer order control techniques
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High-order moment interval stability/stabilization and observability of stochastic impulsive T–S fuzzy systems Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-18 Tingting Zhang, Huasheng Zhang, Xiangpeng Xie, Mengmeng Jiang
This article is concerned with the problems of high-order moment interval stability/stabilization and observability of stochastic impulsive T–S fuzzy systems (SITSFSs). Firstly, the definition of high-order moment interval stability is proposed of SITSFSs in this paper. In consideration of the connection between pole placement and performance of systems, sufficient conditions for the distribution of
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Fully decoupled, linearized and stabilized finite volume method for the time-dependent incompressible MHD equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-18 Xiaochen Chu, Dongyang Shi, Tong Zhang
In this paper, we consider the stability and convergence of the fully decoupled and linearized numerical scheme for the time-dependent incompressible magnetohydrodynamic equations based on the finite volume method. The lowest equal-order mixed finite element pair (--) is used to approximate the velocity, pressure and magnetic fields, and the pressure projection stabilization is introduced to bypass
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Modification of a conjugate gradient approach for convex constrained nonlinear monotone equations with applications in signal recovery and image restoration Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-05-17 Ebenezer Nermeh, Muhammad Abdullahi, Abubakar Sani Halilu, Habibu Abdullahi
Conjugate gradient (CG )methods have received widespread use in recent years for recovering damaged signals in compressive sensing. This study attempts to create a CG method that is more effective than the recent existing scheme for recovering disrupted signals. The newly created method is a modification of the method proposed by Halilu et al. (2021). Because the authors’ CG parameter can be undefined