Communications in Nonlinear Science and Numerical Simulation最新文献_第9页

Hopf bifurcation control of memristor-based fractional delayed tri-diagonal bidirectional associative memory neural networks under various controllers 各种控制器下基于忆阻器的分数延迟三对角双向关联记忆神经网络的霍普夫分岔控制

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-11-09 DOI: 10.1016/j.cnsns.2024.108440

M. Rakshana, P. Balasubramaniam

{"title":"Hopf bifurcation control of memristor-based fractional delayed tri-diagonal bidirectional associative memory neural networks under various controllers","authors":"M. Rakshana, P. Balasubramaniam","doi":"10.1016/j.cnsns.2024.108440","DOIUrl":"10.1016/j.cnsns.2024.108440","url":null,"abstract":"<div><div>In this paper, authors present a memristor-based fractional order system of tri-diagonal bidirectional associative memory neural networks (TdBAMNNs) incorporating leakage and communication delays. The existence and uniqueness theorem is established for the memristor-based fractional-order TdBAMNNs system. Analysis of Hopf bifurcation anti-control is conducted using various feedback controllers by exploring single-parameter and double-parameter approaches. A study of the stability switching curves is undertaken to determine the direction of stability transitions in the system. The theoretical results and graphical illustrations are validated through numerical simulations to exhibit their feasibility. Comparative analysis of the system’s dynamical behavior under different controllers is performed. This paper comprehensively explores the proposed memristor-based system, proving its theoretical underpinnings, and analyzing stability through bifurcation control strategies and comparative assessments under different control scenarios.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"140 ","pages":"Article 108440"},"PeriodicalIF":3.4,"publicationDate":"2024-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142652260","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

Nonsmooth optimization method for determining nonsmooth potential parameter in nonlinear subdiffusion equation 确定非线性子扩散方程中非光滑势参数的非光滑优化方法

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-11-09 DOI: 10.1016/j.cnsns.2024.108437

A. Oulmelk , L. Afraites , A. Hadri , Mahmoud A. Zaky , A.S. Hendy , Xiangcheng Zheng , Hong Wang

引用次数: 0

The natural extension to PDEs of Lie’s reduction of order algorithm for ODEs 李氏减阶算法对 ODE 的自然扩展

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-11-09 DOI: 10.1016/j.cnsns.2024.108438

George W. Bluman , Rafael de la Rosa

引用次数: 0

Effective methods for quantifying complexity based on improved ordinal partition networks: Topological dispersion entropy and weighted topological dispersion entropy 基于改进的序分网络量化复杂性的有效方法：拓扑分散熵和加权拓扑分散熵

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-11-08 DOI: 10.1016/j.cnsns.2024.108435

Fan Zhang , Jiayi He , Pengjian Shang , Yi Yin

{"title":"Effective methods for quantifying complexity based on improved ordinal partition networks: Topological dispersion entropy and weighted topological dispersion entropy","authors":"Fan Zhang , Jiayi He , Pengjian Shang , Yi Yin","doi":"10.1016/j.cnsns.2024.108435","DOIUrl":"10.1016/j.cnsns.2024.108435","url":null,"abstract":"<div><div>Topological permutation entropy is based on ordinal partition networks (OPNs) to approximate topological entropy of low-dimensional chaotic systems. But the ordinal patterns of OPN ignore the magnitude of the amplitude value. To solve the problem, we propose topological dispersion entropy (TDE) and weighted topological dispersion entropy (WTDE) based on dispersion patterns to characterize the complexity of a system. Furthermore, WTDE strengthens the topological structure analysis of complex networks by weighting the adjacency matrix of the improved ordinal partition networks, thereby more accurately capturing the dynamic evolution of time series. The proposed methods are comprehensively evaluated by numerical experiments. The results show that the performance of both TDE and WTDE is significantly better than TPE. Especially, WTDE has good stability to parameters, data length, and noise. Finally, combining support vector machines and K-Nearest Neighbor, TDE and WTDE are applied to the classification of physiological data and mechanical failure data.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"140 ","pages":"Article 108435"},"PeriodicalIF":3.4,"publicationDate":"2024-11-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142652271","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

Finite-time synchronization of complex dynamic networks with impulsive control and actuator saturation: An LMI approach 具有脉冲控制和致动器饱和的复杂动态网络的有限时间同步：一种 LMI 方法

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-11-06 DOI: 10.1016/j.cnsns.2024.108424

Xuran Wan , Lulu Li , Jianquan Lu

引用次数: 0

Accelerating the convergence of Newton’s method for nonlinear elliptic PDEs using Fourier neural operators 利用傅立叶神经算子加速非线性椭圆 PDE 牛顿法的收敛性

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-11-06 DOI: 10.1016/j.cnsns.2024.108434

Joubine Aghili , Emmanuel Franck , Romain Hild , Victor Michel-Dansac , Vincent Vigon

{"title":"Accelerating the convergence of Newton’s method for nonlinear elliptic PDEs using Fourier neural operators","authors":"Joubine Aghili , Emmanuel Franck , Romain Hild , Victor Michel-Dansac , Vincent Vigon","doi":"10.1016/j.cnsns.2024.108434","DOIUrl":"10.1016/j.cnsns.2024.108434","url":null,"abstract":"<div><div>It is well known that Newton’s method can have trouble converging if the initial guess is too far from the solution. Such a problem particularly occurs when this method is used to solve nonlinear elliptic partial differential equations (PDEs) discretized via finite differences. This work focuses on accelerating Newton’s method convergence in this context. We seek to construct a mapping from the parameters of the nonlinear PDE to an approximation of its discrete solution, independently of the mesh resolution. This approximation is then used as an initial guess for Newton’s method. To achieve these objectives, we elect to use a Fourier neural operator (FNO). The loss function is the sum of a data term (i.e., the comparison between known solutions and outputs of the FNO) and a physical term (i.e., the residual of the PDE discretization). Numerical results, in one and two dimensions, show that the proposed initial guess accelerates the convergence of Newton’s method by a large margin compared to a naive initial guess, especially for highly nonlinear and anisotropic problems, with larger gains on coarse grids.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"140 ","pages":"Article 108434"},"PeriodicalIF":3.4,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142652272","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

Fixed-time prescribed performance control for nonlinear multi-agent systems with novel uncertainties 具有新的不确定性的非线性多代理系统的固定时间规定性能控制

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-11-06 DOI: 10.1016/j.cnsns.2024.108413

Deyang Jiang , Jiyu Zhu , Xuan Qiu , Qikun Shen

引用次数: 0

The coupling dynamic characteristics and vibration suppression of a double-beam structure with two linear oscillators installed separately 分别安装两个线性振荡器的双梁结构的耦合动态特性和振动抑制

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-11-06 DOI: 10.1016/j.cnsns.2024.108442

Chen Chen , Xueliang Zhang , Wogong Yu , Siyuan Yi , Bangchun Wen

{"title":"The coupling dynamic characteristics and vibration suppression of a double-beam structure with two linear oscillators installed separately","authors":"Chen Chen , Xueliang Zhang , Wogong Yu , Siyuan Yi , Bangchun Wen","doi":"10.1016/j.cnsns.2024.108442","DOIUrl":"10.1016/j.cnsns.2024.108442","url":null,"abstract":"<div><div>This paper investigates the coupling dynamic characteristics of a double-beam structure with two linear oscillators that generate harmonic concentrated excitation and the vertical elastic support boundary, including the Sommerfeld effect and the synchronization behavior. The governing equations of motion with boundary conditions are developed using Hamilton's principle. The Sommerfeld effect near the resonance region is characterized by transient power balance analysis, and the critical power of the motor is given to allow the system to pass through the resonance region. The theoretical condition for the synchronous behavior of two linear oscillators is derived using the average method, and its stability is also determined. The synchronization characteristics are analyzed and compared with the numerical steady-state response of typical physical parameters. Results show good agreement. Further, on the condition of the linear oscillators exhibiting synchronous behavior, sensitive working regions and parameters are sought to suppress the dynamic loads transmitted from the system to the foundation. The parameter optimization results show that the stable phase difference plays a crucial role in vibration suppression within the appropriate range of sensitive parameters. This study effectively extends the theoretical criteria for synchronous behavior on complex structures and is expected to provide ideas for vibration suppression strategies of multi-driving sources acting on multi-groups of elastic structures.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"140 ","pages":"Article 108442"},"PeriodicalIF":3.4,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142652054","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

Projection synchronization of multi-link coupled memristive neural networks affected by leakage and transmission delays 受泄漏和传输延迟影响的多链路耦合忆阻器神经网络的投影同步

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-11-06 DOI: 10.1016/j.cnsns.2024.108418

Wentao Hua , Yantao Wang , Xiaona Yang , Xian Zhang

{"title":"Projection synchronization of multi-link coupled memristive neural networks affected by leakage and transmission delays","authors":"Wentao Hua , Yantao Wang , Xiaona Yang , Xian Zhang","doi":"10.1016/j.cnsns.2024.108418","DOIUrl":"10.1016/j.cnsns.2024.108418","url":null,"abstract":"<div><div>This paper explores the realization of projection synchronization for multi-link coupled memristive neural networks (MLCMNN) with leakage and transmission delays. In order to obtain the global exponential synchronization conditions of MLCMNN, a new direct method based on system solutions is proposed. The major advantage of this method is that there is no need to construct Lyapunov–Krasovskii functional, thus the complexity of calculation is simplified. In addition, this paper presents a new controller with relatively simple design. Moreover, the obtained sufficient condition contains only some simple linear scalar inequalities which can be easily solved via MATLAB. Finally, three numerical examples are given to verify the validity of the theoretical results. The first one is a general test of the obtained global exponential synchronization conditions, the second one shows the applicability of the theoretical results to communication networks, and the third one provides a comparison between the results given in this paper and a previous one.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"140 ","pages":"Article 108418"},"PeriodicalIF":3.4,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142652048","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 novel Lax–Wendroff type procedure of two-derivative time-stepping schemes for Euler and Navier–Stokes equations 针对欧拉方程和纳维-斯托克斯方程的新型 Lax-Wendroff 型两衍生时间步进方案程序

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-11-06 DOI: 10.1016/j.cnsns.2024.108436

Xueyu Qin, Xin Zhang, Jian Yu, Chao Yan

{"title":"A novel Lax–Wendroff type procedure of two-derivative time-stepping schemes for Euler and Navier–Stokes equations","authors":"Xueyu Qin, Xin Zhang, Jian Yu, Chao Yan","doi":"10.1016/j.cnsns.2024.108436","DOIUrl":"10.1016/j.cnsns.2024.108436","url":null,"abstract":"<div><div>In this paper, we developed a novel Lax–Wendroff (LW) type procedure of two-derivative time-stepping schemes for the Euler and Navier–Stokes equations. The explicit two-derivative time-stepping schemes, including the two-derivative Runge–Kutta schemes and variable step size two-derivative multistep schemes, are proposed and the optimized time-stepping schemes are determined by the strong stability preserving theory. The novel LW procedure greatly simplifies the intricate symbolic calculations of the original LW procedure, particularly for the Navier–Stokes equations. The novel LW procedure also ensures both the order accuracy and numerical stability compared to the original LW procedure. Moreover, we presented a simplified positivity-preserving limiter for LW procedure, enabling the temporal schemes to handle demanding computations. When employing high-order spatial methods, numerical tests highlighted that two-derivative time-stepping schemes utilizing the novel LW procedure effectively improve the stability and computational efficiency compared to the Runge–Kutta schemes.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"140 ","pages":"Article 108436"},"PeriodicalIF":3.4,"publicationDate":"2024-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142652049","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