Communications in Nonlinear Science and Numerical Simulation最新文献_第7页

Singular perturbations of a class of elliptic variational–hemivariational inequalities without monotonicity 一类无单调的椭圆变分-半变分不等式的奇异摄动

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-29 DOI: 10.1016/j.cnsns.2025.108868

Jinxia Cen , Stanisław Migórski , Yunyun Wu , Shengda Zeng

{"title":"Singular perturbations of a class of elliptic variational–hemivariational inequalities without monotonicity","authors":"Jinxia Cen , Stanisław Migórski , Yunyun Wu , Shengda Zeng","doi":"10.1016/j.cnsns.2025.108868","DOIUrl":"10.1016/j.cnsns.2025.108868","url":null,"abstract":"<div><div>The aim of this article is to study the singular perturbations for a class of elliptic variational–hemivariational inequalities without strong monotonicity and relaxed monotonicity hypotheses. First, we prove existence of solutions to the original variational–hemivariational inequality under consideration, and its singular perturbation problem by applying an existence theorem for nonlinear equilibrium problems. Then, we provide a convergence result stating that the Kuratowski weak-upper limit of solution sets to singular perturbation problem coincides with the Kuratowski strong-upper limit of solution set to singular perturbation problem, and it is a nonempty subset of the solution set of original variational–hemivariational inequality. The singular perturbation analysis is completely new in the literature. Finally, in order to demonstrate the applicability of the results, an obstacle elliptic inclusion problem with convex subdifferential term, <span><math><mi>p</mi></math></span>-Laplace operator, and generalized Clarke’s subdifferential operator, is studied.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108868"},"PeriodicalIF":3.4,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143886555","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Quasi-projective synchronization of discrete-time fractional-order BAM neural networks with uncertain parameters and time-varying delays 具有不确定参数和时变时滞的离散分数阶BAM神经网络的拟投影同步

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-29 DOI: 10.1016/j.cnsns.2025.108873

Jianfei Liu , Hong-Li Li , Long Zhang , Haijun Jiang , Jinde Cao

引用次数: 0

Sliding mode control for fuzzy systems with nonhomogeneous stochastic communication protocol 非齐次随机通信协议模糊系统的滑模控制

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-29 DOI: 10.1016/j.cnsns.2025.108701

Bo Wang , Fucheng Zou , Tianfeng Tang , Jun Cheng , Dan Zhang , Yunliang Wang

{"title":"Sliding mode control for fuzzy systems with nonhomogeneous stochastic communication protocol","authors":"Bo Wang , Fucheng Zou , Tianfeng Tang , Jun Cheng , Dan Zhang , Yunliang Wang","doi":"10.1016/j.cnsns.2025.108701","DOIUrl":"10.1016/j.cnsns.2025.108701","url":null,"abstract":"<div><div>This study systematically investigates output-feedback sliding mode control (SMC) for nonlinear systems modeled by the Takagi–Sugeno (T-S) model, incorporating a stochastic communication protocol (SCP). To enhance communication efficiency and reliability, a novel SCP is proposed, which determines sensor node selection, with transmission probabilities derived from nonhomogeneous sojourn probability information. Unlike existing homogeneous sojourn probabilities, nonhomogeneous sojourn probabilities are characterized by a polytope-structured set, where variations are governed by upper-level deterministic switching. Addressing the challenge of observing system states, a scheduling-signal-based output feedback SMC is designed to overcome limitations imposed by unobservable system states and mitigate SCP impacts. Based on this, sufficient conditions are devised to ensure stochastic stability of T-S fuzzy systems and attain sliding function reachability. Finally, the cart-damper-spring model and the tunnel diode circuit model are presented as two practical examples to validate the effectiveness and superiority of our developed methodology.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108701"},"PeriodicalIF":3.4,"publicationDate":"2025-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143890520","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A direct imaging method for an inverse fluid–solid interaction scattering problem 流固相互作用逆散射问题的直接成像方法

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-28 DOI: 10.1016/j.cnsns.2025.108869

Tielei Zhu , Zhihao Ge , Bangmin Wu

引用次数: 0

A Novel Approach to Vibration Control in Fluid-Conveying Pipes Using Piezoelectric Actuators 利用压电作动器控制流体输送管道振动的新方法

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-27 DOI: 10.1016/j.cnsns.2025.108914

Mohammad Javad Pourmohammadi, Mojtaba Eftekhari, Mahdi Gholami

引用次数: 0

Variable-order fractional approach for modeling viscoelastic-plastic deformation in multistage compressive response of polymer syntactic foams 聚合物复合泡沫多阶段压缩响应粘弹塑性变形建模的变阶分数法

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-26 DOI: 10.1016/j.cnsns.2025.108915

Yunfei Gao , Yantong Yang , Fangzheng Ren , Baozhi Han

{"title":"Variable-order fractional approach for modeling viscoelastic-plastic deformation in multistage compressive response of polymer syntactic foams","authors":"Yunfei Gao , Yantong Yang , Fangzheng Ren , Baozhi Han","doi":"10.1016/j.cnsns.2025.108915","DOIUrl":"10.1016/j.cnsns.2025.108915","url":null,"abstract":"<div><div>The multistage compressive behavior of polymer syntactic foams (PSFs) presents significant modeling challenges due to the coexistence of brittle and ductile deformation mechanisms. While existing fractional viscoelastic models have primarily been confined to linear regimes, a critical limitation remains in addressing post-yield nonlinearity and temperature-dependent softening. This work establishes an effective modeling framework combining fractional viscoelastic and viscoplastic operators to holistically characterize PSFs’ multistage compressive responses. The model explicitly incorporates an elastic-viscous element (with linear order function) for pre-yield behavior and a fractional viscoplastic operator (with power-law order function) capturing post-yield plasticity progression. A quantitative relationship between the model parameters and temperature was established, the model’s effectiveness and accuracy were verified through comparison with traditional models. Systematic analysis also reveals the fractional order’s dual physical significance during softening and matrix densification mechanisms in later stages. Finally, based on the compression deformation mechanism of PSFs, a qualitative analysis was conducted on the mechanism and the physical significance of the parameters in the fractional evolution model. The work provides both methodological advancements in fractional modeling approaches and mechanistic insights into syntactic foam deformation, establishing a foundation for the design and optimization of functionally graded syntactic foam products.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108915"},"PeriodicalIF":3.4,"publicationDate":"2025-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143911781","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Stabilization of coupled nonlinear systems with Lévy noise and time-varying delays 具有lsamvy噪声和时变时滞的耦合非线性系统的镇定

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-26 DOI: 10.1016/j.cnsns.2025.108878

Wanying Guo , Yao Feng , Wenxue Li

引用次数: 0

Global existence, traveling wave solutions and Hopf bifurcation analysis in a flame propagation model with nonlinear diffusion and advection 具有非线性扩散和平流的火焰传播模型的整体存在性、行波解和Hopf分岔分析

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-26 DOI: 10.1016/j.cnsns.2025.108862

Saeed ur Rahman , José Luis Díaz Palencia , Hira Tanoli

引用次数: 0

Strong convergence for efficient full discretization of the stochastic Allen–Cahn equation with multiplicative noise 带乘性噪声的随机Allen-Cahn方程有效完全离散化的强收敛性

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-25 DOI: 10.1016/j.cnsns.2025.108860

Xiao Qi , Lihua Wang , Yubin Yan

引用次数: 0

Stochastic conformal symplectic exponential Runge–Kutta–Nyström integrators for solving damped second-order SDEs with applications in damped stochastic nonlinear wave equations 求解二阶阻尼微分方程的随机保角辛指数Runge-Kutta-Nyström积分器及其在阻尼随机非线性波动方程中的应用

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-24 DOI: 10.1016/j.cnsns.2025.108874

Feng Wang, Qiang Ma, Zhenyu Wang, Xiaohua Ding

{"title":"Stochastic conformal symplectic exponential Runge–Kutta–Nyström integrators for solving damped second-order SDEs with applications in damped stochastic nonlinear wave equations","authors":"Feng Wang, Qiang Ma, Zhenyu Wang, Xiaohua Ding","doi":"10.1016/j.cnsns.2025.108874","DOIUrl":"10.1016/j.cnsns.2025.108874","url":null,"abstract":"<div><div>In this paper, we propose implicit and explicit stochastic conformal symplectic exponential Runge–Kutta–Nyström (SCSE-RKN) integrators to solve second-order stochastic differential equations (SDEs) with constant or time-dependent damping. Under certain conditions on coefficient functions, the conformal quadratic invariants of damped second-order SDEs exist. Furthermore, the corresponding damped stochastic Hamiltonian systems are conformal symplectic. We theoretically and experimentally demonstrate that the implicit and explicit SCSE-RKN integrators preserve the conformal quadratic invariant and conformal symplectic structure accurately. Additionally, we establish the existence and uniqueness of numerical solution for the implicit SCSE-RKN integrator. And we provide a detailed analysis of the mean-square convergence orders for both implicit and explicit SCSE-RKN integrators. In comparison to other classical methods, our proposed integrators exhibit superior structure-preserving performance, higher accuracy, and better efficiency. Using the SCSE-RKN integrators in the time direction, we achieve excellent numerical results for two renowned damped stochastic nonlinear wave equations.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108874"},"PeriodicalIF":3.4,"publicationDate":"2025-04-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143903329","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0