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A rapid semi-analytical approach for modeling traffic flow on changing road conditions and its application Appl. Math. Comput. (IF 3.5) Pub Date : 2024-07-11 Jie Chen, Jinde Cao, Maobin Hu
Road traffic conditions exhibit spatial and temporal variations influenced by factors such as construction, speed limits, and accidents. Accurate and efficient modeling of vehicular flow on changing road conditions is crucial for understanding intricate traffic phenomena and analyzing dynamic characteristics in real-world scenarios. In this paper, we develop a rapid numerical approach that computes
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Deep Policy Iteration for high-dimensional mean field games Appl. Math. Comput. (IF 3.5) Pub Date : 2024-07-11 Mouhcine Assouli, Badr Missaoui
This paper introduces Deep Policy Iteration (DPI), a novel approach that integrates the strengths of Neural Networks with the stability and convergence advantages of Policy Iteration (PI) to address high-dimensional stochastic Mean Field Games (MFG). DPI overcomes the limitations of PI, which is constrained by the curse of dimensionality to low-dimensional problems, by iteratively training three neural
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Simultaneous state and fault estimation: A prescribed-time unknown input observer approach Appl. Math. Comput. (IF 3.5) Pub Date : 2024-07-11 Jiahui Geng, Ning Xu, Xudong Zhao, Ze Tang, Jiancheng Zhang
In this paper, a prescribed-time unknown input observer (PTUIO) is developed for the simultaneous state and fault estimation. Firstly, for the uncertain system containing both the actuator fault and the sensor fault, a series of reformulations are proposed, which provides a more straightforward way to estimate the state and the faults. Subsequently, based on the reformulations, a PTUIO is developed
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Hopf bifurcation and patterns formation in a diffusive two prey-one predator system with fear in preys and help Appl. Math. Comput. (IF 3.5) Pub Date : 2024-07-10 Debjit Pal, Santu Ghorai, Dipak Kesh, Debasis Mukherjee
Recognizing the relationship between the spatial patterns in species concentrations and ecological heterogeneity is crucial for understanding demographics and species governance in a given domain, as ecological patterning processes are believed to be imitated in real ecosystems. In this present article, we have considered a two-prey-one-predator system with Holling type-II functional response where
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A Gramian matrix approach to synthesizing finite-frequency H2 controller Appl. Math. Comput. (IF 3.5) Pub Date : 2024-07-10 Hongzheng Quan, Xiujuan Lu, Chenxiao Cai, Yun Zou, James Lam
This paper studies the control problem for linear continuous-time systems over a finite-frequency range. Using the finite-frequency Gramian matrix approach, a necessary and sufficient condition is obtained for the characterization of the finite-frequency performance of a Hurwitz stability system. With such a characterization, a sufficient condition for the solvability of the finite-frequency control
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A novel fractional Moreau's sweeping process with applications Appl. Math. Comput. (IF 3.5) Pub Date : 2024-07-10 Zakaria Faiz, Shengda Zeng, Hicham Benaissa
We investigate a novel category of Caputo fractional Moreau's sweeping process, formulated in a real Hilbert space, by the inclusion below Our primary focus is to develop a framework for proving the unique solvability of the fractional Moreau's sweeping processes, namely, we deliver a fractional version of the Moreau's type catching-up algorithm for the sweeping process being considered. Moreover,
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Risk-sensitive benchmarked portfolio optimization under non-linear market dynamics Appl. Math. Comput. (IF 3.5) Pub Date : 2024-07-09 Ravi Shankar, Mayank Goel
We discuss a continuous-time portfolio optimization problem to beat a stochastic benchmark. The model considers non-linear stochastic differential equations (SDEs) to model the dynamics of assets and economic factors. Unlike existing literature on risk-sensitive criteria, the proposed framework allows the model to capture the non-linearity in assets and factors dynamics. This article contributes to
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An extended prediction for uncertain LTI systems subject to input delays and unknown disturbances Appl. Math. Comput. (IF 3.5) Pub Date : 2024-07-09 Jin Zhang, Jing Shi, Chen Peng
This paper develops an extended prediction for uncertain linear time-invariant (LTI) systems with input delays and unknown disturbances. The developed prediction employs more information of the disturbances that allows to reject perfectly constant disturbances and to lead to better attenuation performance with smaller ultimate bounds for the time-varying disturbances. The assumption from the existing
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A new approach to b-coloring of regular graphs Appl. Math. Comput. (IF 3.5) Pub Date : 2024-07-09 Magda Dettlaff, Hanna Furmańczyk, Iztok Peterin, Adriana Roux, Radosław Ziemann
Let be a graph and a proper -coloring of , i.e., for every edge from . A proper -coloring is a b-coloring if there exists a vertex in every color class that contains all the colors in its closed neighborhood. The maximum number of colors admitting b-coloring of is the b-chromatic number .
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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
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A Nordhaus-Gaddum type problem for the normalized Laplacian spectrum and graph Cheeger constant Appl. Math. Comput. (IF 3.5) Pub Date : 2024-07-08 J. Nolan Faught, Mark Kempton, Adam Knudson
For a graph on vertices with normalized Laplacian eigenvalues and graph complement , we prove that We do this by way of lower bounding and where and denote the isoperimetric number and Cheeger constant of , respectively.
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Bipartite cacti with extremal matching energy Appl. Math. Comput. (IF 3.5) Pub Date : 2024-07-08 Jinfeng Liu, Fei Huang
Let be the number of matchings containing edges in a graph . Define a quasi-order ⪰ by if holds for all . Let be the set of all bipartite cacti with cycles and a given bipartition , where , . We determine the extremal graphs minimize the matching energy in for .
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Power-enhanced residual network for function approximation and physics-informed inverse problems Appl. Math. Comput. (IF 3.5) Pub Date : 2024-07-08 A. Noorizadegan, D.L. Young, Y.C. Hon, C.S. Chen
In this study, we investigate how the updating of weights during forward operation and the computation of gradients during backpropagation impact the optimization process, training procedure, and overall performance of the neural network, particularly the multi-layer perceptrons (MLPs). This paper introduces a novel neural network structure called the Power-Enhancing residual network, inspired by highway
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Fixed-time bipartite synchronization of nonlinear impulsive time-varying signed networks with delays Appl. Math. Comput. (IF 3.5) Pub Date : 2024-07-08 Yao Xu, Xinzhi Liu, Lu Zhang, Wenxue Li, Yongbao Wu, Yang Liu
This paper investigates the fixed-time bipartite synchronization issue of nonlinear impulsive time-varying signed networks with time delays. Under the average impulsive interval method, two Lyapunov lemmas are given to ensure the fixed-time stability of nonlinear impulsive time-varying systems. The new settling-time estimations are accurately calculated in terms of the influences of the stabilizing
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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
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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
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Dynamics of a predator–prey system with foraging facilitation and group defense Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-06 Yong Yao, Lingling Liu
Foraging facilitation and group defense are widespread phenomena in population ecosystem, which promote and prevent the predation in opposite processes respectively. In this work, a predator–prey system with foraging facilitation among predators and group defense in prey is proposed and investigated. To demonstrate the impact of both the foraging facilitation and the group defense on the system dynamics
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The dynamic analysis of the rumor spreading and behavior diffusion model with higher-order interactions Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-06 Yang Xia, Haijun Jiang, Shuzhen Yu, Zhiyong Yu
Rumor spreading occurs not only between two individuals but also among multiple individuals or influenced by groups. However, pairwise interactions in complex networks are insufficient to describe this process. In this study, we propose a rumor spreading model with higher-order interactions, in which the rumor propagation process is represented by simplicial complexes. By selecting the propagation
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Lyapunov functionals for a virus dynamic model with general monotonic incidence, two time delays, CTL and antibody immune responses Appl. Math. Lett. (IF 2.9) Pub Date : 2024-07-06 Ke Guo, Donghong Zhao, Zhaosheng Feng
In this paper, we study global asymptotic stability of all equilibria of a virus dynamic model with general monotonic incidence, two time delays, CTL and antibody immune responses by constructing Lyapunov functionals and applying LaSalle’s invariance principle.
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Stability for the magnetic Bénard system with partial dissipation Appl. Math. Lett. (IF 2.9) Pub Date : 2024-07-06 Xiaoping Zhai, Hui Liao, Yajuan Zhao
We prove the stability of the magnetic Bénard system with partial dissipation on perturbations near a background magnetic field in . Neglecting the effect of the temperature, the stability result provides a significant example for the stabilizing effects of the magnetic field on electrically conducting fluids. In addition, we obtain an explicit large-time decay rate of the solutions.
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On boundary conditions for linearised Einstein’s equations Appl. Math. Lett. (IF 2.9) Pub Date : 2024-07-06 Matteo Capoferri, Simone Murro, Gabriel Schmid
We investigate the properties of a fairly large class of boundary conditions for the linearised Einstein equations in the Riemannian setting, ones which generalise the linearised counterpart of boundary conditions proposed by Anderson. Through the prism of the quest to quantise gravitational waves in curved spacetimes, we study their properties from the point of view of ellipticity, gauge invariance
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A layer decomposition method for multi-layer elastic contact systems with interlayer Tresca friction Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-05 Zhizhuo Zhang, Xiaobing Nie, Mikaël Barboteu, Jinde Cao
With the increasing demand for the accuracy of numerical simulation of pavement mechanics, the variational inequality model and its induced finite element method which can simulate the interlayer contact state becomes a potential solution. In this paper, a layer decomposition algorithm for solving variational inequality models of multi-layer elastic contact systems with interlayer Tresca friction conditions
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Nonexistence of integrable nonlinear magnetic fields with invariants quadratic in momenta Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-05 B. Erdélyi, K. Hamilton, J. Pratscher, M. Swartz
Nonlinear, completely integrable Hamiltonian systems that serve as blueprints for novel particle accelerators at the intensity frontier are promising avenues for research, as Fermilab’s Integrable Optics Test Accelerator (IOTA) example clearly illustrates. Here, we show that only very limited generalizations are possible when no approximations in the underlying Hamiltonian or Maxwell equations are
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RL-based adaptive control for a class of non-affine uncertain stochastic systems with mismatched disturbances Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-05 Zheng Wang, Yuxuan Chang, Yanghong Qiu, Xiaolu Xing
This paper investigates the reinforcement learning (RL) adaptive tracking control design problem for a class of mismatched stochastic nonlinear systems with non-affine structure. The stochastic system studied in this paper is more generally representative due to the presence of non-affine inputs, internal uncertainties, and mismatched external disturbances. Firstly, in order to solve the non-affine
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Mean-square exponential stabilization of memristive neural networks: Dealing with replay attacks and communication interruptions Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-05 Shuai Xiao, Zhen Wang, Xindong Si, Gang Liu
This paper investigates the mean-square exponential stabilization (MSES) of memristive neural networks (MNNs) under replay attacks and communication interruptions. The research will revolve around the following two questions: Firstly, facing replay attacks and communication interruptions, how to design an appropriate controller? Secondly, how to ensure the MSES of MNNs under higher replay attack rate
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On fuzzy fractional differential inclusion driven by variational–hemivariational inequality in Banach spaces Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-05 Yunshui Liang, Lu-Chuan Ceng, Jen-Chih Yao, Wei Wu
The aim of this paper is to examine an evolution problem (FFDIVHVI) involving a fuzzy fractional differential inclusion and a variational–hemivariational inequality (VHVI) in Banach spaces. First, we show a uniqueness and existence theorem for VHVI under the theory of monotone operators and the surjectivity theorem. Then, by utilizing fixed point theorem for multivalued contraction mapping and fuzzy
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Adaptive fuzzy event-triggered control for a class of nonlinear time-delay multi-agent systems with dead zone and partial state constraints Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-05 Yong Zhao, Xinping Xiao
This paper presents an adaptive fuzzy event-triggered control (ETC) method for a class of time-delay nonlinear multi-agent systems (MASs) with dead zone (DZ) and partial state constraints (PSCs). It should be pointed out that the states considered in this paper are unmeasurable and part of the system states are constrained by time-varying boundary. By utilizing fuzzy logic systems (FLSs) and backstepping
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Unconditional optimal [formula omitted]-norm error estimate and superconvergence analysis of a linearized nonconforming finite element variable-time-step BDF2 method for the nonlinear complex Ginzburg–Landau equation Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-04 Lifang Pei, Yifan Wei, Jiwei Zhang
In this paper, a linearized fully discrete scheme combining the variable-time-step two-step backward differentiation formula (VSBDF2) in time and the nonconforming finite element methods (FEMs) in space is constructed and analyzed for the nonlinear complex Ginzburg–Landau equation. A novel convergence analysis approach is proposed, which shows that the -norm error of this scheme can reach optimal order
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Travelling waves in a minimal go-or-grow model of cell invasion Appl. Math. Lett. (IF 2.9) Pub Date : 2024-07-04 Carles Falcó, Rebecca M. Crossley, Ruth E. Baker
We consider a minimal go-or-grow model of cell invasion, whereby cells can either proliferate, following logistic growth, or move, via linear diffusion, and phenotypic switching between these two states is density-dependent. Formal analysis in the fast switching regime shows that the total cell density in the two-population go-or-grow model can be described in terms of a single reaction–diffusion equation
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Structure preserving algorithms with adaptive time step for Birkhoffian systems Appl. Math. Comput. (IF 3.5) Pub Date : 2024-07-03 Xinlei Kong, Yinjie Song, Huibin Wu
Structure preserving algorithms with adaptive time step are systematically developed for Birkhoffian systems. The development mainly consists of construction, implementation, and application of this kind of algorithms. The construction is based on a direct discretization of the Pfaff–Birkhoff principle in which time is treated as a dynamical variable particularly. The resulting discrete Birkhoffian
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On spanning laceability of bipartite graphs Appl. Math. Comput. (IF 3.5) Pub Date : 2024-07-03 Eminjan Sabir, Jixiang Meng, Hongwei Qiao
Let be a balanced bipartite graph with bipartition . For a positive integer and two vertices and , a bi--path-system of is a subgraph consisting of internally disjoint -paths. Moreover, a bi--path-system is called a spanning bi--path-system if spans . If there is a spanning bi--path-system between any and then is said to be spanning -laceable. In this paper, we provide a synthesis of sufficient conditions
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Decomposability of regular graphs to 4 locally irregular subgraphs Appl. Math. Comput. (IF 3.5) Pub Date : 2024-07-03 Jakub Przybyło
A locally irregular graph is a graph whose adjacent vertices have distinct degrees. It was conjectured that every connected graph is edge decomposable to 3 locally irregular subgraphs, unless it belongs to a certain family of exceptions, including graphs of small maximum degrees, which are not decomposable to any number of such subgraphs. Recently Sedlar and Škrekovski exhibited a counterexample to
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Orthogonal gamma-based expansion for the CIR's first passage time distribution Appl. Math. Comput. (IF 3.5) Pub Date : 2024-07-03 Elvira Di Nardo, Giuseppe D'Onofrio, Tommaso Martini
In this paper we analyze a method for approximating the first-passage time density and the corresponding distribution function for a CIR process. This approximation is obtained by truncating a series expansion involving the generalized Laguerre polynomials and the gamma probability density. The suggested approach involves a number of numerical issues which depend strongly on the coefficient of variation
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Predicting the arrival of the unpredictable: An approach for foreseeing the transition to chaos of wildfire propagation Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-03 Jorge Mampel Danta, Vera N. Egorova, Gianni Pagnini
A discrete map for modelling wind-driven wildfire propagation is derived from a prototypical reaction–diffusion equation for the temperature field. We show that, for a constant fuel concentration at the fire-front, the heat transfer coefficient from fuel to surroundings and as well as an effective heat of reaction are two independent mechanisms that can cause the transition to chaos, when they may
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Invariant manifolds in a reversible Hamiltonian system: The tentacle-like geometry Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-03 P.S. Casas, F. Drubi, S. Ibáñez
We study a one-parameter family of time-reversible Hamiltonian vector fields in , which has received great attention in the literature. On the one hand, it is due to the role it plays in the context of certain applications in the field of Physics or Engineering and, on the other hand, we especially highlight its relevance within the framework of generic unfoldings of the four-dimensional nilpotent
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The localized excitation on the Jacobi elliptic function periodic background for the Gross–Pitaevskii equation Appl. Math. Lett. (IF 2.9) Pub Date : 2024-07-03 Xuemei Xu, Yunqing Yang
In this paper, the nonlinear wave solutions for Gross–Pitaevskii equation on the periodic wave background are investigated by Darboux-Bäcklund transformation, from which the soliton and breather wave solutions on the Jacobi elliptic cn and dn functions backgrounds are derived. The corresponding evolutions and dynamical properties of nonlinear wave solutions under different parameters are discussed
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Beurling dimension of spectra for a class of random convolutions on [formula omitted] Appl. Comput. Harmon. Anal. (IF 2.6) Pub Date : 2024-07-03 Jinjun Li, Zhiyi Wu
It is usually difficult to study the structure of the spectra for the measures in and higher dimensions. In this paper, by employing the projective techniques and our previous results on the line we prove that the Beurling dimension of spectra for a class of random convolutions in satisfies an intermediate value property.
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A piezoelectric cantilever-beam-spring-pendulum oscillator for multi-directional vibration energy harvesting Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-02 Yunshun Zhang, Guangsong Zhang, Wanshu Wang
Harvesting energy from environmental vibrations holds significance for powering wireless sensors and transducers. However, the current vibration energy harvesting methods still have room for improvement, especially in the field of low-frequency vibration, where the performance of output voltage is relatively insufficient. This paper proposes a novel piezoelectric energy harvester consisting of a piezoelectric
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[formula omitted]-soliton solutions of coupled Schrödinger–Boussinesq equation with variable coefficients Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-02 LingLing Zhang, HongTao Han
In this paper, soliton solutions of the coupled variable coefficients Schrödinger–Boussinesq equation, which describes the stationary propagation of coupled upper-hybrid waves and magnetoacoustic waves in a magnetized plasma, are investigated. Based on the Hirota bilinear method, the bilinear form, one, two, three and -soliton solutions of Schrödinger–Boussinesq equation are derived. By means of numerical
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Collective behavior of discrete time multi-agent systems with dynamical opinions Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-02 Han Guo, Xiufeng Zhang, Chunxi Yang
In this paper, a novel framework for multi-agent systems is established to explore the swarm phenomenon of individuals with opinions in nature. Unlike the conventional researches in which agents in the system rigidly follow the predefined protocol, this paper combine opinions evolution with dynamic behaviors into multi-agent systems. To study the effect of opinions on behaviors, a protocol incorporating
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Efficiency analysis for the Perron vector of a reciprocal matrix Appl. Math. Comput. (IF 3.5) Pub Date : 2024-07-01 Susana Furtado, Charles R. Johnson
In prioritization schemes, based on pairwise comparisons, such as the Analytical Hierarchy Process, it is necessary to extract a cardinal ranking vector from a reciprocal matrix that is unlikely to be consistent. It is natural to choose such a vector only from efficient ones. One of the most used ranking methods employs the (right) Perron eigenvector of the reciprocal matrix as the vector of weights
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Orientations without forbidden patterns on three vertices Appl. Math. Comput. (IF 3.5) Pub Date : 2024-07-01 Santiago Guzmán-Pro, César Hernández-Cruz
Given a set of oriented graphs, a graph is a -graph if it admits an -free orientation. Skrien showed that proper-circular arc graphs, nested interval graphs and comparability graphs, correspond to -graph classes for some set of orientations of . Building on these results, we exhibit the list of all -graph classes when is a set of oriented graphs on three vertices. Structural characterizations for these
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Distributed finite-time secure filtering for T-S fuzzy systems under hybrid cyber-attacks: Application to tunnel diode circuits Appl. Math. Comput. (IF 3.5) Pub Date : 2024-07-01 Zehua Ye, Xinran Xu, Dan Zhang, Jun Cheng, Huaicheng Yan
The distributed secure filtering issue of Takagi-Sugeno (T-S) fuzzy systems (TSFSs) under hybrid attacks is investigated in the framework of finite-time boundedness (FTB). The state is estimated via a wireless sensor network (WSN) in a distributed way, where each sensor collects information from the system independently, and transmits it to the remote local estimator through the measurement information
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Synchronization transition in space–time chaos in the presence of quenched disorder Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-07-01 Naval R. Sabe, Priyanka D. Bhoyar, Prashant M. Gade
Synchronization of two replicas of coupled map lattices for continuous maps is known to be in the multiplicative noise universality class. We study this transition in the presence of quenched disorder in coupling. The disorder is identical in both replicas. We study one-dimensional, two-dimensional, and globally coupled logistic and tent maps. We observe a clear second-order transition with new exponents
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Gaussian process learning of nonlinear dynamics Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-29 Dongwei Ye, Mengwu Guo
One of the pivotal tasks in scientific machine learning is to represent underlying dynamical systems from time series data. Many methods for such dynamics learning explicitly require the derivatives of state data, which are not directly available and can be approximated conventionally by finite differences. However, the discrete approximations of time derivatives may result in poor estimations when
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Stability analysis of a fractional-order [formula omitted] epidemic model for the COVID-19 pandemic Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-29 Xinghua Hu, Yingyue Liu
To explore the impact of the COVID-19 vaccination rate and immune loss rate on the pandemic, this paper proposes a fractional-order epidemic model with vaccination ineffectiveness and infection differences. And we compare and analyze the dynamic differences between integer-order and Caputo fractional-order operators. First, we show the non-negativity and boundedness of solutions for the Caputo fractional-order
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A three-step subgrid stabilized Oseen iterative method for Navier–Stokes type variational inequality Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-29 Bo Zheng, Yueqiang Shang
This work is devoted to developing a two-grid subgrid stabilized Oseen iterative finite element method for the convection dominated Navier–Stokes problem with friction boundary conditions whose weak form is the variational inequality of the second kind. This method inherits the best algorithmic advantages of each and involves three steps. Specifically, in the first step, a nonlinear Navier–Stokes type
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On high-order schemes for the space-fractional conservative Allen–Cahn equations with local and local–nonlocal operators Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-29 Linlin Bu, Rui Li, Liquan Mei, Ying Wang
In this study, we focus on two fractional conservative Allen–Cahn equations with a nonlocal space-independent operator (called the RSLM operator) and a local–nonlocal space–time dependent operator (called the BBLM operator), respectively. Recently, scholars have found that the fractional Allen–Cahn equation is better than the classical equation for describing the interface thickness. Subsequently,
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Corrigendum to “Observer-based fuzzy control for fractional order PMSG wind turbine systems with adaptive quantized-mechanism” [Communications in Nonlinear Science and Numerical Simulation, volume 136 (2024) 108087] Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-29 Chendrayan Dineshkumar, Jae Hoon Jeong, Young Hoon Joo
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Anisotropic eigenvalue problems with singular and sign-changing terms Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-29 Yunru Bai, Nikolaos S. Papageorgiou, Shengda Zeng
We consider a nonlinear Dirichlet problem driven by the anisotropic ()-Laplacian and with a parametric reaction which has the competing effects of a singular term and of a Carathéodory perturbation which is sign-changing and “superlinear”. Using variational tools together with truncation and comparison techniques, we show that for all small values of the parameter , the problem under consideration
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Key-term separation based hierarchical gradient approach for NN based Hammerstein battery model Appl. Math. Lett. (IF 2.9) Pub Date : 2024-06-29 Dongqing Wang
For block-oriented Hammerstein systems with a static nonlinear part and a dynamic linear part, there exists a problem of the parameter coupling in nonlinear part and linear part. Traditional methods are to express its output into a linear or a quasi linear regression equation about parameters. However, a Hammerstein system with a neural network (NN) nonlinear part is difficult to be expressed as a
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Discrete energy balance equation via a symplectic second-order method for two-phase flow in porous media Appl. Math. Comput. (IF 3.5) Pub Date : 2024-06-28 Giselle Sosa Jones, Catalin Trenchea
We propose and analyze a second-order partitioned time-stepping method for a two-phase flow problem in porous media. The algorithm is a refactorization of Cauchy's one-leg -method: the implicit backward Euler method on , and a linear extrapolation on . In the backward Euler step, the decoupled equations are solved iteratively, with the iterations converging linearly. In the absence of the chain rule
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Mosquito suppression via Filippov incompatible insect technique Appl. Math. Comput. (IF 3.5) Pub Date : 2024-06-28 Doaa M. Fawzy, Ayman A. Arafa, A. Elsaid, W.K. Zahra
Mosquito-borne diseases persist as a global health challenge despite ongoing control efforts, necessitating the exploration of alternative control approaches. This research proposes a Filippov incompatible insect technique (IIT) model with a threshold policy control for suppressing mosquito population. The model implements biological and chemical control strategies only when wild mosquito density surpasses
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Deep learning-based estimation of time-dependent parameters in Markov models with application to nonlinear regression and SDEs Appl. Math. Comput. (IF 3.5) Pub Date : 2024-06-28 Andrzej Kałuża, Paweł M. Morkisz, Bartłomiej Mulewicz, Paweł Przybyłowicz, Martyna Wia̧cek
We present a novel deep-learning method for estimating time-dependent parameters in Markov processes through discrete sampling. Departing from conventional machine learning, our approach reframes parameter approximation as an optimization problem using the maximum likelihood approach. Experimental validation focuses on parameter estimation in multivariate regression and stochastic differential equations
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Stochastic integral input-to-state stability for stochastic delayed networked control systems and its applications Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-28 Feifan Huang, Shang Gao
In this paper, stochastic integral input-to-state stability (SiISS) is studied for stochastic delayed networked control systems (SDNCSs). With the assistance of Lyapunov–Krasovskii functional, as well as stochastic analysis and inequality techniques, we establish a Lyapunov-type criterion that guarantees SiISS for SDNCSs. What is more, another sufficient criterion is proposed by means of coefficients
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Confocal parabolic billiard with gravitational potential: Classical and quantum description Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-28 Marcelo Rodríguez-González, Julio C. Gutiérrez-Vega
We investigate the classical and quantum dynamics of a particle trapped in a gravitational confocal parabolic billiard. Characterizing the equi-momentum surfaces and the Poincaré phase maps reveals four different kinds of motion the particle can exhibit. The analytical expressions of the characteristic equations for getting periodic orbits and their periods were derived and validated numerically. A
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A priori estimates of the unsteady incompressible thermomicropolar fluid equations and its numerical analysis based on penalty finite element method Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-28 Demin Liu, Junru Guo
In this paper, the unsteady incompressible thermomicropolar fluid (UITF) equations are considered. Theoretically, some a priori regularity conclusions are presented firstly, which seem to be not available in the literatures. Numerically, a penalty finite element method (PFEM) for the UITF equations is studied, the Euler semi-implicit temporal semi-discrete method of the penalty UITF equations is proposed
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Adaptive parameters tuning based on energy-preserving splitting integration for Hamiltonian Monte Carlo Method Commun. Nonlinear Sci. Numer. Simul. (IF 3.4) Pub Date : 2024-06-28 Cristiano Tamborrino, Fasma Diele, Carmela Marangi, Cristina Tarantino
Splitting schemes, a class of numerical integrators for Hamiltonian problems, offer a favorable alternative to the Störmer–Verlet method in Hamiltonian Monte Carlo (HMC) methodology. However, the performance of HMC is highly sensitive to the adopted step size. In this paper, we propose a novel approach for selecting the step size for advancing with the method defined by the free parameter , within
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Localized waves on the periodic background for the Hermitian symmetric space derivative nonlinear Schrödinger equation Appl. Math. Lett. (IF 2.9) Pub Date : 2024-06-28 Jing Shen, Huan Liu, Fang Li, Xianguo Geng
In this letter, we further investigate the Hermitian symmetric space derivative nonlinear Schrödinger equation through the development of a semi-degenerate Darboux transformation. To demonstrate the utility of this approach, we first reveal the expression of the double-periodic wave solution. On the periodic background, we visualize the kink-breather wave, the rogue wave and their interaction.
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The Gauss-cos model for the autocorrelation function of fertility rate Appl. Math. Comput. (IF 3.5) Pub Date : 2024-06-27 Zongmin Wu, Ran Yang
Based on the fertility data, we derive a Gauss-cosh model for autocorrelation functions in the Fourier transform space by adopting the mass-point accumulation principle of the Grassmann space to the amplitude-frequency to study the evolution of population in social problems. By using the Gauss-cosh model in the Fourier transform space, a Gauss-cos model for autocorrelation functions is suggested on