样式: 排序: IF: - GO 导出 标记为已读
-
Mathematical study of a new coupled electro-thermo radiofrequency model of cardiac tissue Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-17 Mostafa Bendahmane, Youssef Ouakrim, Yassine Ouzrour, Mohamed Zagour
This paper presents a nonlinear reaction–diffusion-fluid system that simulates radiofrequency ablation within cardiac tissue. The model conveys the dynamic evolution of temperature and electric potential in both the fluid and solid regions, along with the evolution of velocity within the solid region. By formulating the system that describes the phenomena across the entire domain, encompassing both
-
Maximum-correntropy-based sequential method for fast neural population activity reconstruction in the cortex from incomplete abnormally-disturbed noisy measurements Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-14 M.V. Kulikova, G. Yu. Kulikov
This paper continues to explore the membrane potential reconstruction and pattern recognition problem in a neural tissue modeled by Stochastic Dynamic Neural Field (SDNF) equation. Although recent research has suggested an efficient solution based on the state-space approach through nonlinear Bayesian filtering framework, it is becoming extremely difficult to ignore the existence of non-Gaussian uncertainties
-
Variable-step [formula omitted] method combined with time two-grid algorithm for multi-singularity problems arising from two-dimensional nonlinear delay fractional equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-13 Caixia Ou, Dakang Cen, Seakweng Vong
In this paper, we focus on the numerical simulation for two-dimensional nonlinear fractional sub-diffusion equations in the presence of time delay. Firstly, we investigate the existence, uniqueness and regularity of the solution for such problems. The theoretical result implies that the solution at is smoother than that at , where is a constant time delay, and this is an improvement for the work (Tan
-
Exponential control-based fixed/preassigned-time synchronization of output-coupled spatiotemporal networks with directed topology Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-13 Zhen Liu, Yumeng Cai, Haochen Xin, Cheng Hu, Tingting Shi
This paper mainly explores the fixed-time and preassigned-time output synchronization of spatiotemporal networks with directed topology. Firstly, a kind of exponential-type control scheme associated with output feedback is developed. Subsequently, several sufficient criteria are established to ensure fixed-time output synchronization by utilizing the Lyapunov method and Taylor expansion. Moreover,
-
Singularity properties of the entropy in an enclosed system characterized by accumulated noise stochastic processes Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-12 Stevan Berber
Due to the irreversibility of processes in an enclosed system, the randomness in the system increases in time and can be represented by an accumulated noise stochastic process. In contrast to the thermodynamics theory, the analysis of the system is based on the information theory point of view. The system is defined by two states: a time state and a timeless state. Based on the central limit theorem
-
Multiple transmission routes in nosocomial bacterial infections — A modeling study Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-10 Ziqiang Cheng, Hengmin Jia, Jian Sun, Yueguo Wang, Shusheng Zhou, Kui Jin, Mengping Zhang, Jin Wang
In this paper, we propose a new mathematical model to investigate nosocomial infections caused by both antibiotic-sensitive and antibiotic-resistant bacteria. A focus of our modeling study is the presence of multiple transmission pathways, including the primary infection, co-infection, and re-infection from each type of bacteria, and their interplay with each other in the process of disease spread
-
Optimal convergent analysis of a linearized Euler finite element scheme for the 2D incompressible temperature-dependent MHD-Boussinesq equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-08 Shuheng Wang, Yuan Li
In this paper, we study a first-order Euler semi-implicit finite element scheme for the two-dimensional incompressible Boussinesq equations for magnetohydrodynamics convection with the temperature-dependent viscosity, electrical conductivity and thermal diffusivity. In finite element discretizations, the mini finite element is used to approximate the velocity and pressure, and the piecewise linear
-
Statistical inference for a stochastic generalized logistic differential equation Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-07 Fernando Baltazar-Larios, Francisco Delgado-Vences, Saul Diaz-Infante, Eduardo Lince Gomez
In this research we aim to estimate three parameters in a stochastic generalized logistic differential equation. We assume the intrinsic growth rate and shape parameters are constant but unknown. To estimate these two parameters, we use the maximum likelihood method and establish that the estimators for these two parameters are strongly consistent. We estimate the diffusion parameter by using the quadratic
-
The first-order unconditionally stable projection finite element method for the incompressible vector potential magnetohydrodynamics system Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-07 Jinghan Wang, Yuan Li
In this paper, we consider a first-order projection finite element scheme for the three dimensional incompressible magnetohydrodynamics system based on a magnetic vector potential formulation by writing the magnetic induction , where is a magnetic potential. The main advantage of this projection scheme has two-fold. One is that numerical solutions of velocity field and magnetic induction both satisfy
-
Effects of contact stiffness on the nonlinear motions induced by impacts on an overhung rotor system Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-06 Haifei Wang, Xiangxiang Shen, Tian Zhou, Jianzhong Sun, Guo Chen
The effects of contact stiffness between the rotor and stator on the internal resonance of forward and backward whirls in the rotating frame have been investigated, that is the forward and backward modes are commensurate in the rotating frame. First, the equations for an overhung rotor system with two rotors with coupling stiffness are established by Lagrangian method. By the transformation of a general
-
A numerical representation of hyperelliptic KdV solutions Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-05 Shigeki Matsutani
The periodic and quasi-periodic solutions of the integrable system have been studied for four decades based on the Riemann theta functions. However, there is a fundamental difficulty in representing the solutions numerically because the Riemann theta function requires several transcendental parameters. This paper presents a novel method for the numerical representation of such solutions from the algebraic
-
Convex symmetric rectangular pentagon central configurations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-05 M. Alvarez-Ramírez, J. Lino Cornelio, Josep M. Cors
A convex rectangular pentagon, also called , is a pentagon with the added restriction that two non-adjacent sides have equal lengths, each of which forms a right angle with the intervening side. In this paper, we focus on the existence of central configurations of the 5-body problem, where the five bodies are in a symmetric house-shaped configuration. That is, when the five bodies are located at the
-
A Bertalanffy–Richards growth model perturbed by a time-dependent pattern, statistical analysis and applications Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-03 Antonio Di Crescenzo, Paola Paraggio, Francisco Torres-Ruiz
We analyze a modification of the Richards growth model by introducing a time-dependent perturbation in the growth rate. This modification becomes effective at a special switching time, which represents the first-crossing-time of the Richards growth curve through a given constant boundary. The relevant features of the modified growth model are studied and compared with those of the original one. A sensitivity
-
An asymmetrical body: Example of analytical solution for the rotation matrix in elementary functions and Dzhanibekov effect Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-03 Alexei A. Deriglazov
We solved the Poisson equations, obtaining their exact solution in elementary functions for the rotation matrix of a free asymmetrical body with angular velocity vector lying on separatrices. This allows us to discuss the temporal evolution of Dzhanibekov’s nut directly in the laboratory system, where it is observed. The rotation matrix depends on two parameters with clear physical interpretation as
-
High-Order Block Toeplitz Inner-Bordering method for solving the Gelfand–Levitan–Marchenko equation Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-02 S.B. Medvedev, I.A. Vaseva, M.P. Fedoruk
We propose a high precision algorithm for solving the Gelfand–Levitan–Marchenko equation. The algorithm is based on the block version of the Toeplitz Inner-Bordering algorithm of Levinson’s type. To approximate integrals, we use the high-precision one-sided and two-sided Gregory quadrature formulas. Also we use the Woodbury formula to construct a computational algorithm. This makes it possible to use
-
Convergence analysis of an efficient scheme for the steady state second grade fluid model Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-08-02 B. Jaffal-Mourtada, D. Yakoubi
We are interested in studying the stationary second grade fluid model in a bounded domain in . To approximate the solution of the continuous model, we propose a fully decoupled numerical scheme based on a splitting method combined with the use of the operator. This approach allows the complete decoupling of the three variables: velocity, pressure and vorticity. Each variable is computed using an iterative
-
A fast Euler–Maruyama scheme and its strong convergence for multi-term Caputo tempered fractional stochastic differential equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-31 Jingna Zhang, Yifa Tang
In this paper, we consider a kind of multi-term Caputo tempered fractional stochastic differential equations and prove the existence and uniqueness of the true solution. Then we derive an Euler–Maruyama (EM) scheme to solve the considered equations. In view of the huge computational cost caused by the EM scheme to achieve reasonable accuracy, a fast EM scheme is proposed based on the sum-of-exponentials
-
The stabilized nonconforming virtual element method for the Darcy–Stokes problem Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-31 Jikun Zhao, Wenhao Zhu, Bei Zhang, Yongqin Yang
A stabilized nonconforming virtual element method is designed in order to solve the Darcy–Stokes problem, which preserves a divergence-free approximation to the velocity. The same degrees of freedom as the usual Crouzeix–Raviart-type virtual element is used, but a different virtual element space is obtained by modifying the conforming Stokes virtual element with the -projection operator. The proposed
-
An emotion-information spreading model in social media on multiplex networks Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-31 Guanghui Yan, Xiaolong Zhang, Huayan Pei, Yuyao Li
The digital age has seen an exponential increase in the creation and dissemination of information, while the post-truth era has amplified the role of emotion in the spread of news. To prevent the outbreak of negative public sentiment due to uncontrolled emotional responses, it is critical to investigate the interplay between these two factors during the propagation. Therefore, we develop an emotion-information
-
Efficient valuation of variable annuities under regime-switching jump diffusion models with surrender risk and mortality risk Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-30 Wei Zhong, Zhimin Zhang, Zhenyu Cui
We present an efficient valuation approach for guaranteed minimum accumulation benefits (GMABs), guaranteed minimum death benefits (GMDBs), and surrender benefits (SBs) embedded in variable annuity (VA) contracts in a regime-switching jump diffusion model. We incorporate into the contract the risks of mortality and surrender, with these events generally monitored discretely over the life of the policy
-
Mikusiński’s operational calculus for multi-dimensional fractional operators with applications to fractional PDEs Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-27 Noosheza Rani, Arran Fernandez
We construct, for the first time, a Mikusiński-type operational calculus structure for partial differential operators of non-integer order. Our operators are of Riemann–Liouville type, and in arbitrary dimensions, although we often focus on the two-dimensional case as a model problem. We establish suitable function spaces, algebraic properties, and interpretations of multi-dimensional fractional integral
-
Corrigendum to “Strong convergence theorem of a new modified Bregman extragradient method to solve fixed point problems and variational inequality problems in general reflexive Banach spaces [Communications in Nonlinear Science and Numerical Simulation, 135, (2024): CNSNS 108051] Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-26 Huilin Tan, Qian Yan, Gang Cai, Qiaoli Dong
-
Threshold dynamics of a diffusive HIV infection model with infection-age, latency and cell–cell transmission Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-26 Guoyang Lyu, Jinliang Wang, Ran Zhang
This work intends to analyze the global threshold dynamics of an HIV infection model with age-space structure, latency and two transmission paths (virus to cell and cell to cell) under the Neumann boundary condition. The original model is converted into a hybrid system comprising two Volterra integral equations and two partial differential equations by integrating along the characteristic line. The
-
Beat frequency induced transitions in synchronization dynamics Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-25 Gabriel Marghoti, Thiago L. Prado, Miguel A.F. Sanjuán, Sergio R. Lopes
In neurosciences, the brain processes information via the firing patterns of connected neurons operating across a spectrum of frequencies. To better understand the effects of these frequencies in the neuron dynamics, we have simulated a neuronal network of Izhikevich neurons to examine the interaction between frequency allocation and intermittent phase synchronization dynamics. As the synchronized
-
Error analysis of a fully discrete projection method for Cahn–Hilliard Inductionless MHD problems Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-25 Qianqian Ding, Shipeng Mao, Xiaorong Wang
This article investigates the fully discrete finite element approximation and error analysis for a diffuse interface model of the two-phase incompressible inductionless magnetohydrodynamics problem. This model consists of Cahn–Hilliard equations, Navier–Stokes equations and Poisson equations, which are nonlinearly coupled through convection, stresses, and Lorentz forces. To address this highly nonlinear
-
A novel distance correlation entropy and Auto-distance correlation function for measuring the complexity of time series data Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-25 Yixiao Liu, Pengjian Shang
In the field of time series analysis, the assessment of complexity is a pivotal area of research, revealing the unique properties and structures inherent in time series data. However, current statistical-based approaches for complexity often rely on simple statistical measurements, which may not accurately capture the intricacies of time series data. In our article, we propose a novel distance correlation
-
Cascading failures on interdependent hypergraph Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-24 Cheng Qian, Dandan Zhao, Ming Zhong, Hao Peng, Wei Wang
Scientists are aware of the importance of studying interdependent networks, as they represent real-world scenarios better than isolated networks, such as the interdependent communication and power networks. However, in real scenarios, higher-order interactions exist in these networks. Recent research has shown that higher-order interactions that cannot be reflected in simple networks (i.e., a network
-
A meshless approach based on fractional interpolation theory and improved neural network bases for solving non-smooth solution of 2D fractional reaction–diffusion equation with distributed order Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-23 Lin Li, Zhong Chen, Hong Du, Wei Jiang, Biao Zhang
The primary objective of this research paper is to present a novel and effective meshless numerical approach for solving the 2D time fractional reaction diffusion system with distributed order on an arbitrary domain. Gauss–Legendre quadrature formula is applied to discretize distributed-order derivative integral. We establish the piecewise parabolic fractional interpolation theory and with its assistance
-
Hysteresis behavior and generalized Hopf bifurcation in a three-degrees-of-freedom aeroelastic system with concentrated nonlinearities Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-23 Xin Wu, Gaolei Li, Yuan Yue
A three-degrees-of-freedom aeroelastic system with concentrated structural nonlinearities is considered. The aerodynamic loads in the model are simulated by using unsteady aerodynamic forces. First, we evaluate the linear stability region of the aerodynamic system employing the Lienard–Chipart criterion so that the stability boundaries of the center of gravity position and the uncoupled pitch natural
-
Application of bilateral iterative displacement control method to nonlinear free vibration analysis of dual-FG nanocomposite circular plates Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-22 Juan Wang, Xie Jiang
This paper studies the geometrically nonlinear free vibration of a novel nanocomposite circular plate. The matrix of the nanocomposite structure is made of functionally graded (FG) polymer, and the distribution of graphene platelets (GPLs) as the reinforcement is assumed based on the five various linear FG models. Therefore, this novel nanocomposite is called dual-FG. The Voigt rule of mixture and
-
Asymptotic expansion method with respect to a small parameter for fractional differential equations with Riemann–Liouville derivate Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-20 Marianna Ruggieri, Maria Paola Speciale
In this paper, we proposed an asymptotic approach with respect to a small parameter for fractional differential equations, with the small parameter linked to the fractional order derivative. This approach allows the splitting of the field variable and consequently the Riemann–Liouville Integral as the sum of two contributions. One describes the unperturbed state and the other describes the behavior
-
Strong nonlinear mixing evolutions within phononic frequency combs Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-20 Penghui Song, Jiahao Wu, Shuke Zang, Eihab Abdel-Rahman, Lei Shao, Wenming Zhang
Phononic frequency combs (PFCs) represent an emerging attractive nonlinear vibrational phenomenon characterized by equidistant spectral lines. Despite the extensive experimental studies, the complex nonlinear mixing nature of PFCs continues to present significant challenges in solving and investigating their complete dynamics, which is difficult to achieve by existing computational approaches. In this
-
Phase-field based modeling and simulation for selective laser melting techniques in additive manufacturing Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-20 Sijing Lai, Qing Xia, Junseok Kim, Yibao Li
In this study, we develop a phase-field model to describe the solid–liquid phase changes, heat conduction phenomena, during the selective laser melting process. This model is based on the variational principle of minimizing the free energy functional. The proposed model integrates the phase-field equation and the energy equation, which are used to capture the dynamical behavior of the interfacial evolution
-
Voronoi-based adaptive area optimal coverage control for multiple manipulator systems with uncertain kinematics and dynamics Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-20 Jinwei Yu, Ruohan Mi, Junxian Han, Weihua Yang
This paper studies an adaptive area optimal coverage control method for multi-manipulator systems under the presence of both uncertain kinematics and dynamics. Initially, an objective cost function associating the voronoi tessellation is utilized to transform the optimal coverage control into the tracking control problem. Consequently, an adaptive area optimal coverage control strategy is designed
-
An adaptive non-uniform L2 discretization for the one-dimensional space-fractional Gray–Scott system Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-20 P. Yuan, P.A. Zegeling
This paper introduces a new numerical method for solving space-fractional partial differential equations (PDEs) on non-uniform adaptive finite difference meshes, considering a fractional order in one dimension. The fractional Laplacian in PDE is computed by using Riemann–Liouville (R–L) derivatives, incorporating a boundary condition of the form in . The proposed approach extends the L2 method to non-uniform
-
Stability and stabilization of fractional-order singular interconnected delay systems Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-20 Nguyen T. Thanh, Vu N. Phat
An analytical approach based on fractional calculus and singular value theory to finite-time stability and stabilization of fractional-order singular interconnected delay systems is proposed. Particularly, we study fractional singular equations with interval time-varying delays. We first give new sufficient conditions for finite-time stability of such equations. Then, the feedback stabilizing controllers
-
Advanced Physics-informed neural networks for numerical approximation of the coupled Schrödinger–KdV equation Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-20 Qiongni Zhang, Changxin Qiu, Jiangyong Hou, Wenjing Yan
Physics-informed neural networks (PINNs) has been shown to be an effective tool for solving partial differential equations (PDEs). PINNs incorporate the PDEs residual into the loss function, seamlessly integrating it as part of the neural network architecture. This novel methodology has exhibited success in tackling a wide range of both forward and inverse PDE problems. However, a limitation of the
-
Stability analysis for neutral stochastic time-varying systems with delayed impulses Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-20 Meng Zhang, Quanxin Zhu
This article investigates the stability of stochastic neutral delayed systems (SNDS) with delayed impulses, which includes the stability in input-to-state exponentially stable in th moment (-ISES), integral ISES in th moment (-iISES) and -weighted ISES in th moment (--ISES). Compared with the existing works, we allow the neutral term, delayed impulses, time-varying coefficients in the diffusion condition
-
An efficient solution procedure for solving higher-codimension Hopf and Bogdanov–Takens bifurcations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-19 Bing Zeng, Pei Yu, Maoan Han
In solving real world systems for higher-codimension bifurcation problems, one often faces the difficulty in computing the normal form or the focus values associated with generalized Hopf bifurcation, and the normal form with unfolding for higher-codimension Bogdanov–Takens bifurcation. The difficulty is not only coming from the tedious symbolic computation of focus values, but also due to the restriction
-
A reduction procedure for determining exact solutions of second order hyperbolic equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-19 Natale Manganaro, Alessandra Rizzo
In this paper we develop a systematic reduction procedure for determining intermediate integrals of second order hyperbolic equations so that exact solutions of the second order PDEs under interest can be obtained by solving first order PDEs. We give some conditions in order that such a procedure holds and, in particular, we characterize classes of linear second order hyperbolic equations for which
-
Spatially heterogeneous eco-epidemic model: Stabilizing role of non-local disease transmission Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-19 Subrata Dey, Dhiraj Kumar Das, S. Ghorai, Malay Banerjee
Interaction between prey and predator in the presence of an infectious pathogen is the main focus of this article. A non-local transmission, that encompasses the possibility of acquiring infection from a distanced potential infected individual, is incorporated by utilizing a convolution of a spatial kernel function of compact support with the spatial distribution of the infected population. The spatial
-
Machine learning for nonlinear integro-differential equations with degenerate kernel scheme Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-18 Hui Li, Pengpeng Shi, Xing Li
In recent years, machine learning has become an interdisciplinary research hotspot in nonlinear science and artificial intelligence. Nonlinear integro-differential equations (IDEs), as an essential mathematical model in science and engineering, often face challenges in forward problem analysis and inverse problem solving due to the complexity of their kernel functions. This paper proposes a machine
-
Exponential stability of nonlinear delay systems with delayed impulses: A novel comparison approach Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-18 Weilian Liu, Xinyi He, Xiaodi Li
This paper addresses the Lyapunov stability of impulsive delay systems, where time delay exists in both impulsive actions and continuous dynamics. In order to deal with the delays in continuous dynamics, an extended comparison principle is established, which implicitly shows a relationship among time delay, impulse strength, and system state. Then, with the help of Lyapunov–Razumikhin (LR) type inequalities
-
A Hamiltonian for 1/1 rotational secondary resonances, and application to small satellites of Saturn and Jupiter Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-17 N. Callegari Jr.
In this work, we study the dynamics of rotation of the small satellites Methone and Aegaeon and revisit previous works on the rotation of Prometheus, Metis, and Amalthea. In all cases, the surfaces of section computed with the standard spin–orbit model reveal that the synchronous regime with small amplitude of libration shares another large domain in the phase space. We reproduce and apply the hamiltonian
-
Nonlinear dynamic buckling of a simply supported imperfect nanocomposite shear deformable plate under the effect of in-plane velocities Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-17 Ahmed Y. Ali, Hamad M. Hasan, Farag M. Mohammed
Due to its lightweight design and high load-bearing capacity, the nanocomposite plate structure is extensively applied in flight wings, ship hulls and aerospace structures. In particular, there is a lack of research on the nonlinear dynamic response of the shear deformable plates with initial geometric imperfection and damping ratio. Inspired by this, this article investigates the nonlinear stability
-
Doubly perturbed uncertain differential equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-16 Zhi Li, Yue Wang, Jing Ning, Liping Xu
In this paper, we study a class of doubly perturbed uncertain differential equations driven by canonical process that is the counterpart of Wiener process in the framework of uncertain theory. We give some sufficient conditions for the existence and uniqueness of solutions of the present problem under some weak conditions, where a convex combination of the Nagumo and Osgood conditions is considered
-
A new class of high-order supplementary variable methods for the Klein–Gordon–Zakharov system Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-15 Xin Li, Luming Zhang
In this paper, based on the paradigm of supplementary variable method (SVM), we reformulate the Klein–Gordon–Zakharov system into equivalent optimization problem subject to PDE constraints, and then present a novel class of high-order energy-preserving numerical algorithms to solve it numerically. The optimization model is discretized by applying the Gauss collocation method as well as the prediction–correction
-
Distributed adaptive fault-tolerant control with prescribed performance for nonlinear multiagent systems Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-15 Li-Ting Lu, Shan-Liang Zhu, Dong-Mei Wang, Yu-Qun Han
This paper introduces a distributed adaptive fault-tolerant control scheme for nonlinear multi-agent systems afflicted by actuator failures. The proposed scheme ensures that the consensus-tracking errors of the systems meet the prescribed performance requirements. First, in the backstepping design process, a barrier function is constructed based on the proposed scalar function and normalization function
-
Convolution quadrature for Hadamard fractional calculus and correction methods for the subdiffusion with singular source terms Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-14 Baoli Yin, Guoyu Zhang, Yang Liu, Hong Li
The convolution quadrature method originally developed for the Riemann–Liouville fractional calculus is extended in this work to the Hadamard fractional calculus by using the exponential type meshes. Local truncation error analysis is presented for singular solutions. By adopting the fractional backward difference formula of order (BDF-) for the Caputo–Hadamard fractional derivative in solving subdiffusion
-
A Golden Ratio Algorithm With Backward Inertial Step For Variational Inequalities Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-14 Chinedu Izuchukwu, Yekini Shehu
In this paper we study the convergence analysis of a Golden Ratio Algorithm with a backward inertial step and a fully adaptive step size procedure for the purpose of approximating solutions of variational inequalities in Hilbert spaces. We present a weak convergence result when the operator is quasi-monotone and locally Lipschitz continuous, and a strong convergence result in the setting of strong
-
Inverse a time-dependent potential problem of a generalized time-fractional super-diffusion equation with a nonlinear source from a nonlocal integral observation Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-14 Xiaoli Feng, Qiang Yao, Yun Zhang
This paper focus on the problem of reconstructing the time-dependent potential in a class of generalized (including three special cases: the classical/multi-term/distributed order) time-fractional super-diffusion equations with nonlinear sources from a nonlocal integral observation. For such nonlinear equation, we investigate it for both the direct and inverse time-dependent potential problems. For
-
Dynamics analysis of noncircular planetary gears Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-11 Shuai Mo, Yaxin Li, Yiheng Liu, Yuansheng Zhou, Xinhao Zhao, Jielu Zhang, Wei Zhang
Noncircular planetary gear has simple structure and wide application, but its dynamics research is still blank. Therefore, this paper designs and establishes a 3–4 noncircular planetary gear model, and takes a deep dive into its dynamic characteristics. Firstly, the torsional vibration mechanical model of noncircular planetary gear is established, and the key factors in the planetary gear system are
-
Research on the hybrid chaos-coud salp swarm algorithm Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-09 Junfeng Dai, Li-hui Fu
Salp swarm algorithm (SSA) is a new swarm intelligence optimization algorithm, which has the advantages of simple structure, almost no parameter setting. However, SSA also has the shortcomings of slow convergence speed in the early stage and low optimization accuracy in the later stage when searching for the optimal solution. To address the problems, this study proposes a hybrid chaos-cloud salp swarm
-
A deep learning approach for solving the stationary compositional two-phase equilibrium problems Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-09 Duc Thach Son Vu, Weiqing Ren
In this paper, we propose and investigate a deep neural network approach for solving the stationary compositional two-phase equilibrium problems in porous media. A recent approach is the unified formulation advocated by Lauser et al. (2011) which contains the complementarity conditions. The advantage of this formulation lies in its potential to handle the appearance and disappearance of phases automatically
-
Application of dynamic desired headway based adaptive backstepping sliding mode control design to mixed traffic system Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-08 Zihao Wang, Chen Xing, Wenxing Zhu
To optimize the mixed car-following behavior of connected autonomous vehicles (CAVs) and human-driven vehicles (HDVs), an adaptive backstepping sliding mode control (ABSMC) strategy for longitudinal velocity and distance control model (namely, MCF-ABSMCM) is put forth. First, the variable desired headway model (VDHM) is designed based on the vehicle-to-vehicle and vehicle-to-infrastructure information
-
Non-Newtonian incompressible fluids with nonlinear shear tensor and hereditary conditions Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-06 Heraclio Ledgar López-Lázaro, Pedro Marín-Rubio, Gabriela Planas
We consider a mathematical model with delay for non-Newtonian incompressible fluids in a bounded domain. Existence of global weak solutions is proved under suitable regularity on the initial data and the forces. Conditions for uniqueness are also given, but in general the results are stated in a multi-valued framework. Suitable multi-valued dynamical systems are well-posed, using basically or norms
-
Observer-oriented quantized tracking control design for parabolic non-linear uncertain PDE systems with dissipative constraints Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-06 V. Elakkiya, N. Shobana, O.M. Kwon, R. Sakthivel
This study accentuates the intricacies of designing a quantized observer-oriented model reference tracking controller for parabolic non-linear uncertain partial differential equation (PDE) systems with dissipative constraints. To be precise, a PDE-type Luenberger state estimator is incorporated for accessing the states of examined PDE system with high precision. This strategic incorporation empowers
-
Ultimate boundedness and stability of highly nonlinear neutral stochastic delay differential equations with semi-Markovian switching signals Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-06 Zilong Zhang, Quanxin Zhu
The ultimate boundedness and stability of highly nonlinear neutral stochastic delay differential equations (NSDDEs) are investigated in this paper. Different from many previous works, the highly nonlinear NSDDEs with semi-Markov switching signals are considered for the first time in this paper. Meanwhile, the time delay function in this paper is only required to meet much more relaxed restrictions
-
A semi-conservative depth-averaged material point method for fast flow-like landslides and mudflows Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-06 Marco Fois, Carlo de Falco, Luca Formaggia
We present a two-dimensional semi-conservative variant of the depth-averaged material point method (DAMPM) for modeling flow-like landslides. The mathematical model is given by the shallow water equations, derived from the depth-integration of the Navier–Stokes equations with the inclusion of an appropriate bed friction model and material rheology, namely Voellmy and the depth-integrated Bingham viscoplastic
-
Consensus control and vibration suppression for multiple flexible nonlinear Timoshenko manipulators under undirected communication topology Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-06 Ning Ji, Jinkun Liu
In this paper, consensus control and vibration suppression problems are considered for the flexible nonlinear Timoshenko manipulator multi-agent system. The multi-agent system comprises multiple identical flexible Timoshenko manipulators, which can realize cooperation utilizing local information exchange between various agents. The bending deformation and shear deformation generated by the practical