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A meshless superconvergent stabilized collocation method for linear and nonlinear elliptic problems with accuracy analysis Appl. Math. Comput. (IF 4.0) Pub Date : 2024-05-14 Huanyang Hou, Xiaolin Li
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Lagrange stability and passivity in the mean square sense of discrete-time stochastic Markovian switched neural networks with time-varying mixed delays Appl. Math. Comput. (IF 4.0) Pub Date : 2024-05-14 Liu Yang, Weijun Ma, Xin Wang
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The persistence-based game transition resolves the social dilemma Appl. Math. Comput. (IF 4.0) Pub Date : 2024-05-14 Jialu He, Lei Cui
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Synchronization of complex-valued multi-layer coupled systems by asynchronous intermittent event-triggered mechanisms Appl. Math. Comput. (IF 4.0) Pub Date : 2024-05-14 Yue Ren, Haijun Jiang, Cheng Hu, Shanshan Chen
This study sets out to solve the synchronization problem of complex-valued multi-layer coupled systems (CVMLCSs) under two asynchronous intermittent event-triggered mechanisms (IETMs). Unlike the existing works on IETM, two kinds of novel IETMs including static IETM and dynamic IETM are developed, where the asynchronous nature is mainly reflected in the fact that each node in each layer possesses its
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Medical image reconstruction with multi-level deep learning denoiser and tight frame regularization Appl. Math. Comput. (IF 4.0) Pub Date : 2024-05-13 Tingting Wu, Chaoyan Huang, Shilong Jia, Wei Li, Raymond Chan, Tieyong Zeng, S. Kevin Zhou
As a fundamental task, medical image reconstruction has attracted growing attention in clinical diagnosis. Aiming at promising performance, it is critical to deeply understand and effectively design advanced model for image reconstruction. Indeed, one possible solution is to integrate the deep learning methods with the variational approaches to absorb benefits from both parts. In this paper, to protect
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Book Reviews SIAM Rev. (IF 10.2) Pub Date : 2024-05-09 Anita T. Layton
SIAM Review, Volume 66, Issue 2, Page 391-399, May 2024. As I sat down to write this introduction, I became curious how the books chosen for review have changed over the past decades. So I scanned through a few SIREV Book Review section introductions written 10, 20 or more years ago by former section editors. That act of procrastination allows me to put the current collection of reviews in “historical
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Dynamics of Signaling Games SIAM Rev. (IF 10.2) Pub Date : 2024-05-09 Hannelore De Silva, Karl Sigmund
SIAM Review, Volume 66, Issue 2, Page 368-387, May 2024. This tutorial describes several basic and much-studied types of interactions with incomplete information, analyzing them by means of evolutionary game dynamics. The games include sender-receiver games, owner-challenger contests, costly advertising, and calls for help. We model the evolution of populations of players reacting to each other and
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The Poincaré Metric and the Bergman Theory SIAM Rev. (IF 10.2) Pub Date : 2024-05-09 Steven G. Krantz
SIAM Review, Volume 66, Issue 2, Page 355-367, May 2024. We treat the Poincaré metric on the disc. In particular we emphasize the fact that it is the canonical holomorphically invariant metric on the unit disc. Then we generalize these ideas to the Bergman metric on a domain in complex space. Along the way we treat the Bergman kernel and study its invariance and uniqueness properties.
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Education SIAM Rev. (IF 10.2) Pub Date : 2024-05-09 Hélène Frankowska
SIAM Review, Volume 66, Issue 2, Page 353-353, May 2024. In this issue the Education section presents two contributions. The first paper, “The Poincaré Metric and the Bergman Theory,” by Steven G. Krantz, discusses the Poincaré metric on the unit disc in the complex space and the Bergman metric on an arbitrary domain in any dimensional complex space. To define the Bergman metric the notion of Bergman
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Nonsmooth Optimization over the Stiefel Manifold and Beyond: Proximal Gradient Method and Recent Variants SIAM Rev. (IF 10.2) Pub Date : 2024-05-09 Shixiang Chen, Shiqian Ma, Anthony Man-Cho So, Tong Zhang
SIAM Review, Volume 66, Issue 2, Page 319-352, May 2024. We consider optimization problems over the Stiefel manifold whose objective function is the summation of a smooth function and a nonsmooth function. Existing methods for solving this class of problems converge slowly in practice, involve subproblems that can be as difficult as the original problem, or lack rigorous convergence guarantees. In
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SIGEST SIAM Rev. (IF 10.2) Pub Date : 2024-05-09 The Editors
SIAM Review, Volume 66, Issue 2, Page 317-317, May 2024. The SIGEST article in this issue is “Nonsmooth Optimization over the Stiefel Manifold and Beyond: Proximal Gradient Method and Recent Variants,” by Shixiang Chen, Shiqian Ma, Anthony Man-Cho So, and Tong Zhang. This work considers nonsmooth optimization on the Stiefel manifold, the manifold of orthonormal $k$-frames in $\mathbb{R}^n$. The authors
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A New Version of the Adaptive Fast Gauss Transform for Discrete and Continuous Sources SIAM Rev. (IF 10.2) Pub Date : 2024-05-09 Leslie F. Greengard, Shidong Jiang, Manas Rachh, Jun Wang
SIAM Review, Volume 66, Issue 2, Page 287-315, May 2024. We present a new version of the fast Gauss transform (FGT) for discrete and continuous sources. Classical Hermite expansions are avoided entirely, making use only of the plane-wave representation of the Gaussian kernel and a new hierarchical merging scheme. For continuous source distributions sampled on adaptive tensor product grids, we exploit
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Research Spotlights SIAM Rev. (IF 10.2) Pub Date : 2024-05-09 Stefan M. Wild
SIAM Review, Volume 66, Issue 2, Page 285-285, May 2024. The Gauss transform---convolution with a Gaussian in the continuous case and the sum of $N$ Gaussians at $M$ points in the discrete case---is ubiquitous in applied mathematics, from solving ordinary and partial differential equations to probability density estimation to science applications in astrophysics, image processing, quantum mechanics
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Computational Methods for Large-Scale Inverse Problems: A Survey on Hybrid Projection Methods SIAM Rev. (IF 10.2) Pub Date : 2024-05-09 Julianne Chung, Silvia Gazzola
SIAM Review, Volume 66, Issue 2, Page 205-284, May 2024. This paper surveys an important class of methods that combine iterative projection methods and variational regularization methods for large-scale inverse problems. Iterative methods such as Krylov subspace methods are invaluable in the numerical linear algebra community and have proved important in solving inverse problems due to their inherent
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Survey and Review SIAM Rev. (IF 10.2) Pub Date : 2024-05-09 Marlis Hochbruck
SIAM Review, Volume 66, Issue 2, Page 203-203, May 2024. Inverse problems arise in various applications---for instance, in geoscience, biomedical science, or mining engineering, to mention just a few. The purpose is to recover an object or phenomenon from measured data which is typically subject to noise. The article “Computational Methods for Large-Scale Inverse Problems: A Survey on Hybrid Projection
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Practical stabilization of multi-links highly nonlinear Takagi-Sugeno fuzzy complex networks with Lévy noise based on aperiodically intermittent discrete-time observation control Appl. Math. Comput. (IF 4.0) Pub Date : 2024-05-10 Tianrui Chen, Zezhou Fan, Wenhua Wang, Wenxue Li
This paper investigates practical stabilization of multi-links highly nonlinear Takagi-Sugeno fuzzy complex networks with Lévy noise (MHFNLs) via aperiodically intermittent discrete-time observation control (AIDOC). It is worth pointing out that AIDOC is considered into MHFNLs for the first time. Due to the difficulty of satisfying linear conditions in real life, polynomial growth conditions are used
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Dynamic analysis of HIV infection model with CTL immune response and cell-to-cell transmission Appl. Math. Lett. (IF 3.7) Pub Date : 2024-05-09 Mengfan Tan, Guijie Lan, Chunjin Wei
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Influence of subsidy policies against insurances on controlling the propagation of epidemic security risks in networks Appl. Math. Comput. (IF 4.0) Pub Date : 2024-05-08 Guang-Hai Cui, Jun-Li Li, Kun-Xiang Dong, Xing Jin, Hong-Yong Yang, Zhen Wang
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Memory–based adaptive interaction willingness enhances cooperation in spatial prisoner's dilemma Appl. Math. Comput. (IF 4.0) Pub Date : 2024-05-08 Xu Han, Haoxiang Xia, Xiaowei Zhao
As an important part of the evolution of cooperation, interaction diversity has attracted extensive attention. Traditional studies mainly focus exclusively on either time or space, and the comprehensive impact of these two dimensions on the evolution of cooperation deserves further exploration. In this paper, the interaction willingness is abstracted as the network weight, and an adaptive mechanism
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Corrigendum to: “The superiorization method with restarted perturbations for split minimization problems with an application to radiotherapy treatment planning” [Appl. Math. Comput. 440 (2023) 127627] Appl. Math. Comput. (IF 4.0) Pub Date : 2024-05-07 Francisco J. Aragón-Artacho, Yair Censor, Aviv Gibali, David Torregrosa-Belén
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Analysis of solution to an elliptic free boundary value problem equipped with a ‘bad’ data Appl. Math. Lett. (IF 3.7) Pub Date : 2024-05-07 Debajyoti Choudhuri, Shengda Zeng
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Exact solution of Maxwell–Cattaneo–Vernotte model: Diffusion versus second sound Appl. Math. Lett. (IF 3.7) Pub Date : 2024-05-07 J.A.R. Nascimento, A.J.A. Ramos, A.D.S. Campelo, M.M. Freitas
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Optimal temporal decay rates for 3D compressible magnetohydrodynamics system with nonlinear damping Appl. Math. Lett. (IF 3.7) Pub Date : 2024-05-07 Ruixin Zeng, Shengbin Fu, Weiwei Wang
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Continuous/smooth transonic solutions to the quasi-one-dimensional steady relativistic Euler equations Appl. Math. Lett. (IF 3.7) Pub Date : 2024-05-07 Yanbo Hu
This paper establishes the existence and uniqueness of continuous/smooth Meyer type transonic solutions to the quasi-one-dimensional steady isentropic relativistic Euler equations. We use the high-order Taylor’s expansion of the velocity near the sonic point to overcome the difficulties of applying the implicit function theorem caused by the sonic degeneracy. It is verified that the flow in the De
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On spectral enclosures for Maxwell’s equations with the Drude–Lorentz model Appl. Math. Lett. (IF 3.7) Pub Date : 2024-05-07 Christian Engström
In this paper, we compare two approaches to derive spectral enclosures for Maxwell’s equations with the Drude–Lorentz model in possibly unbounded domains. The enclosures can be computed in the infinite-dimensional case as well as for the matrix-valued function obtained after a discretization. The enclosures are minimal given only the numerical ranges of the operator coefficients and we compare in the
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Differentially private federated learning with Laplacian smoothing Appl. Comput. Harmon. Anal. (IF 2.5) Pub Date : 2024-05-07 Zhicong Liang, Bao Wang, Quanquan Gu, Stanley Osher, Yuan Yao
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Optimal bipartite consensus control for heterogeneous unknown multi-agent systems via reinforcement learning Appl. Math. Comput. (IF 4.0) Pub Date : 2024-05-06 Hao Meng, Denghao Pang, Jinde Cao, Yechen Guo, Azmat Ullah Khan Niazi
This study focuses on addressing optimal bipartite consensus control (OBCC) problems in heterogeneous multi-agent systems (MASs) without relying on the agents' dynamics. Motivated by the need for model-free and optimal consensus control in complex MASs, a novel distributed scheme utilizing reinforcement learning (RL) is proposed to overcome these challenges. The MAS network is randomly partitioned
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On the second-order neutral Volterra integro-differential equation and its numerical solution Appl. Math. Comput. (IF 4.0) Pub Date : 2024-05-06 Ilhame Amirali, Burcu Fedakar, Gabil M. Amiraliyev
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Stability analysis of discrete-time systems with arbitrary delay kernels based on kernel-related summation inequality and model transformation Appl. Math. Comput. (IF 4.0) Pub Date : 2024-05-06 Yi-Bo Huang, Zhihuan Song, Wei Yu
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A new class of general fractional differential quasivariational and quasivariational–hemivariational inequalities with variable constraint sets Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-05-06 Xu Chu, Tao Chen, Nan-jing Huang, Xue-song Li
This paper investigates a new general nonlinear system, which comprises a fractional differential equation and a history-dependent quasivariational inequality with a variable constraint set, as well as a quasivariational–hemivariational inequality with a variable constraint set. Such a general nonlinear system can be used to describe a nonlinear quasistatic thermoelastic frictional contact problem
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A note on generalized exponential stability of impulsive stochastic functional differential equations Appl. Math. Lett. (IF 3.7) Pub Date : 2024-05-06 Dehao Ruan, Yao Lu, Quanxin Zhu
This brief considers the generalized exponential stability of impulsive stochastic functional differential equations (ISFDEs). Initially, An extension of Halanay inequality is derived. Subsequently, by employing this generalized Halanay inequality, we establish the generalized exponential stability result for the given systems.
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Existence and exponential stability of a periodic solution of an infinite delay differential system with applications to Cohen–Grossberg neural networks Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-05-04 A. Elmwafy, José J. Oliveira, César M. Silva
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Co-evolution of cooperation and extortion with resource allocation in spatial multigame Appl. Math. Comput. (IF 4.0) Pub Date : 2024-05-03 Chengbin Sun, Chaoqian Wang, Haoxiang Xia
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Quasi-static filling of a disordered nanoporous medium with a non-wetting liquid as a process of self-organized criticality Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-05-03 Victor Byrkin, Ivan Tronin, Dmitry Lykianov
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Efficient second-order accurate scheme for fluid–surfactant systems on curved surfaces with unconditional energy stability Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-05-03 Bing Jiang, Qing Xia, Junseok Kim, Yibao Li
Accurately simulating the interplay between fluids and surfactants is a challenge, especially when ensuring both mass conservation and guaranteed energy stability. This study proposes a highly accurate numerical scheme for the water–oil–surfactant system coupled with the Navier–Stokes equation. We use the second-order accurate discrete operators on triangular grids representing these surfaces. We use
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A new strategy based on the logarithmic Chebyshev cardinal functions for Hadamard time fractional coupled nonlinear Schrödinger–Hirota equations Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-05-03 M.H. Heydari, D. Baleanu
In this research, the Hadamard fractional derivative is used to define the time fractional coupled nonlinear Schrödinger–Hirota equations. The logarithmic Chebyshev cardinal functions, as a new category of cardinal functions, are introduced to build a numerical method to solve this system. To do this, the Hadamard fractional differentiation matrix of these functions is obtained. In the developed method
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On well-posedness of Navier–Stokes variational inequalities Appl. Math. Lett. (IF 3.7) Pub Date : 2024-05-03 Weimin Han, Yuan Yao
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Long homogeneous payoff records with the latest strategy promotes the cooperation Appl. Math. Comput. (IF 4.0) Pub Date : 2024-05-02 Fei Mo, Wenchen Han
In this study, we studied the fraction of cooperators in the public goods game, taking into account the memory effect that affects the strategy updating. Unlike previous studies where an agent learned the opponent's last strategy based on their last payoffs, agents with memory in this study choose to cooperate according to opponents' effective strategies by comparing their effective payoffs based on
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The homomorphism and coloring of the direct product of signed graphs Appl. Math. Comput. (IF 4.0) Pub Date : 2024-05-02 Chao Wen, Qiang Sun, Hongyan Cai, Huanhuan Guan, Chao Zhang
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Stability, bifurcation, and chaos of a stage-structured predator-prey model under fear-induced and delay Appl. Math. Comput. (IF 4.0) Pub Date : 2024-05-02 Haokun Qi, Bing Liu, Shi Li
The motivation of this paper is inspired by the research of Zanette et al. (2011) , which reveals that the perception of predation risk can reduce the number of juvenile prey. To investigate how fear affects the behavior of prey population, we formulate a predator-prey model with a stage structure for prey in which adult prey is undergoing the interference of fear. First, the dynamic properties of
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A system-level interface sampling and reduction method for component mode synthesis with varying parameters Appl. Math. Comput. (IF 4.0) Pub Date : 2024-05-02 Seunghee Cheon, Soobum Lee, Jaehun Lee
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Periodic solutions with prescribed minimal period for second-order Hamiltonian systems with non-symmetric potentials Appl. Math. Lett. (IF 3.7) Pub Date : 2024-05-01 Juhong Kuang, Zhiming Guo
In this paper, inspired by the works of Szulkin and Weth in 2009 and Pankov in 2007, we develop a new approach to study the Rabinowitz’s conjecture on the existence of periodic solutions with prescribed minimal period for second-order Hamiltonian system without any symmetric assumptions. Specifically, we first obtain the ground state solution of Nehari-Pankov type for the Hamiltonian system by using
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On the continuum limit of epidemiological models on graphs: convergence and approximation results Math. Models Methods Appl. Sci. (IF 3.5) Pub Date : 2024-04-30 Blanca Ayuso de Dios, Simone Dovetta, Laura V. Spinolo
We focus on an epidemiological model (the archetypical SIR system) defined on graphs and study the asymptotic behavior of the solutions as the number of vertices in the graph diverges. By relying on the theory of graphons we provide a characterization of the limit and establish convergence results. We also provide approximation results for both deterministic and random discretizations.
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A nodally bound-preserving finite element method for reaction–convection–diffusion equations Math. Models Methods Appl. Sci. (IF 3.5) Pub Date : 2024-04-30 Abdolreza Amiri, Gabriel R. Barrenechea, Tristan Pryer
This paper introduces a novel approach to approximate a broad range of reaction–convection–diffusion equations using conforming finite element methods while providing a discrete solution respecting the physical bounds given by the underlying differential equation. The main result of this work demonstrates that the numerical solution achieves an accuracy of O(hk) in the energy norm, where k represents
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A second-order three-point difference scheme on a posteriori mesh for a singularly perturbed convection–diffusion problem Appl. Math. Lett. (IF 3.7) Pub Date : 2024-04-30 Zhongdi Cen, Jian Huang, Aimin Xu
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Collective queuing motion of self-propelled particles with leadership and experience Appl. Math. Comput. (IF 4.0) Pub Date : 2024-04-29 Decheng Kong, Kai Xue, Ping Wang
The coordinated and ordered collective behavior arising from dispersed and local self-organizing interactions among individuals is widely observed in many biological communities. For populations engaging in group foraging or migration, complex societies with multiple hierarchical levels are common. A prevalent scenario involves two dominant levels, one corresponding to leaders and the other composed
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A discrete-time model of phenotypic evolution Appl. Math. Comput. (IF 4.0) Pub Date : 2024-04-29 Diego Cirne, Paulo R.A. Campos
A model is proposed for the phenotypic evolution of a very large population under sustained environmental change and non-overlapping generations, with a single trait considered. Due to an extension of the standard law of quantitative inheritance, each evolutionary mechanism corresponds to a function between random variables associated with distinct stages of the life cycle. Such an approach leads to
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Steady state bifurcation and pattern formation of a diffusive population model Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-29 Mengxin Chen, Xuezhi Li, Ranchao Wu
The steady state bifurcation and spatiotemporal patterns are induced by prey-taxis in a population model, in which prey, predators and scavengers are involved. Effects of prey-taxis are manifested from the obtained results. By using the prey-taxis coefficient as the bifurcation parameter, the occurrence conditions of the steady state bifurcation is established. It is found that there is no steady state
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Almost sure synchronization of stochastic multi-links semi-Markov jump systems via aperiodically intermittent control Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-29 Chang Gao, Hao Gu, Yu Xiao, Beibei Guo
This paper concentrates on the almost sure synchronization for a class of stochastic multi-links coupled semi-Markov jump systems through aperiodically intermittent control. For these stochastic switching systems, almost sure synchronization is investigated by employing mode-dependent multiple Lyapunov-like function method and stochastic analysis. Notably, mode-dependent multiple Lyapunov-like function
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Bifurcations of a cancer immunotherapy model explaining the transient delayed response and various other responses Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-29 Wenjing Zhang, Collin Y. Zheng, Peter S. Kim
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Strong convergence theorem of a new modified Bregman extragradient method to solve fixed point problems and variational inequality problems in general reflexive Banach spaces Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-27 Huilin Tan, Qian Yan, Gang Cai, Qiao-Li Dong
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Slow passage through a transcritical bifurcation in piecewise linear differential systems: Canard explosion and enhanced delay Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-27 A. Pérez-Cervera, A.E. Teruel
In this paper we analyse the phenomenon of the slow passage through a transcritical bifurcation with special emphasis in the maximal delay as a function of the bifurcation parameter and the singular parameter . We quantify the maximal delay by constructing a piecewise linear (PWL) transcritical minimal model and studying the dynamics near the slow-manifolds. Our findings encompass all potential maximum
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Asymptotically periodic solutions of fractional order systems with applications to population models Appl. Math. Comput. (IF 4.0) Pub Date : 2024-04-26 Hua He, Wendi Wang
Motivated by applications in population models, we consider -asymptotically periodic solution of fractional differential equations with periodic environment forces or asymptotically periodic ones. The system is quasi-monotone, and the existence of positive -asymptotically periodic solution is established by using upper and lower solutions. The sufficient conditions that ensure the uniqueness of positive
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Strong convergence analysis of spectral fractional diffusion equation driven by Gaussian noise with Hurst parameter less than [formula omitted] Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-26 Xing Liu, Yumeng Yang
We propose and analyze an efficient time discretization for the spectral fractional stochastic partial differential equation with Hurst parameter less than . By using variable substitution, the original equation is transformed into a system of equations, which includes a partial differential equation and a stochastic integral equation. Then the time discretization is composed of two parts. We discretize
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Generalized coefficients of clustering in (un)directed and (un)weighted networks: An application to systemic risk quantification for cryptocoin markets Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-26 A.N.M. Salman, Arief Hakim, Khreshna Syuhada
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A two-network adversarial game: Model, strategy, and structure Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-26 Ding Lyu, Hanxiao Liu, Lin Wang, Xiaofan Wang
Adversarial games between two groups offering a spectrum of mixed cooperative-adversarial scenarios have been extensively focused on and studied, like video games and swarm confrontation, while comparably limited attention has been paid to the role and impact of structures of groups. Complex networks are widely employed to characterize the various relationships and structures among diverse individuals
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Fully discrete stabilized mixed finite element method for chemotaxis equations on surfaces Commun. Nonlinear Sci. Numer. Simul. (IF 3.9) Pub Date : 2024-04-26 Mengqing Jin, Xinlong Feng, Kun Wang
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Inverse matrix estimations by iterative methods with weight functions and their stability analysis Appl. Math. Lett. (IF 3.7) Pub Date : 2024-04-26 Alicia Cordero, Elaine Segura, Juan R. Torregrosa, Maria P. Vassileva
In this paper, we construct a parametric family of iterative methods to compute the inverse of a nonsingular matrix. This class is free of inverse operators. We prove the third-order of convergence under some conditions involving the parameter of the family. Moreover, a dynamical analysis is made for the first time to a matrix iterative method, finding intervals of stability, that include but are wider
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Understanding the dynamics of hepatitis B transmission: A stochastic model with vaccination and Ornstein-Uhlenbeck process Appl. Math. Comput. (IF 4.0) Pub Date : 2024-04-25 Shuying Wu, Sanling Yuan, Guijie Lan, Tonghua Zhang
In this paper, we explore and analyze a stochastic epidemiological model with vaccination and two mean-reverting Ornstein-Uhlenbeck processes to describe the dynamics of HBV transmission. Our study begins by deriving a sufficient condition for the extinction of hepatitis B. Additionally, we determine the presence of a stationary distribution using the Markov process stability theory. Next, we utilize
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Passivity of fractional reaction-diffusion systems Appl. Math. Comput. (IF 4.0) Pub Date : 2024-04-25 Yan Cao, Wei-Jie Zhou, Xiao-Zhen Liu, Kai-Ning Wu
This study considers the passivity of fractional reaction-diffusion systems (FRDSs) featuring boundary input-output. The fundamental framework for this exploration involves the application of the Lyapunov-Krasovskii functional method coupled with inequality techniques. The investigation derives sufficient conditions that guarantee both input and output strict passivity in FRDSs. Furthermore, in the