Communications in Nonlinear Science and Numerical Simulation最新文献_第5页

Exponential bipartite synchronization of distributed-order multilayer neural networks with antagonistic interactions via aperiodic intermittent control 基于非周期间歇控制的具有拮抗作用的分布式多层神经网络的指数二部同步

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-12 DOI: 10.1016/j.cnsns.2025.108820

Dongsheng Yang , Hu Wang , Guojian Ren , Yongguang Yu , Xiao-Li Zhang

引用次数: 0

Leader-following output consensus for strict-feedback nonlinear multiagent systems with edge-based event-triggered communications 具有基于边缘的事件触发通信的严格反馈非线性多智能体系统的领导跟随输出一致性

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-11 DOI: 10.1016/j.cnsns.2025.108828

Wenjie Zhang, Debao Fan, Xianfu Zhang

引用次数: 0

Vibration control of NES for point-supported plate under arbitrary multi-frequency excitation 任意多频激励下点支承板的NES振动控制

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-11 DOI: 10.1016/j.cnsns.2025.108863

Xiao-Ye Mao , Jia-Bin Wu , Jun-Ning Zhang , Hu Ding , Li -Qun Chen

{"title":"Vibration control of NES for point-supported plate under arbitrary multi-frequency excitation","authors":"Xiao-Ye Mao , Jia-Bin Wu , Jun-Ning Zhang , Hu Ding , Li -Qun Chen","doi":"10.1016/j.cnsns.2025.108863","DOIUrl":"10.1016/j.cnsns.2025.108863","url":null,"abstract":"<div><div>Most studies on vibration control of a nonlinear energy sink (NES) for thin plates focus on single-frequency or integral-multiple multi-frequency excitation. However, it is important to note that in practical scenarios, most plates are often subjected to arbitrary multi-frequency excitation. In this paper, a mathematical model is established for a rectangular plate with four-point support and a NES. To ensure the completeness of the solution for nonlinear vibration response under arbitrary multi-frequency excitation, a multi-frequency harmonic balance (MFHBM) method is proposed. The proposed method involves discretizing the excitation frequency equivalently and deriving an approximate solution in the form of harmonic superposition using trigonometric functions. The proposed method's validity and high computational precision have been validated through a comparison with numerical results. In addition, to demonstrate the excellent vibration damping effect of NES in multi-frequency vibration environments, parameter analysis is conducted using dual-frequency and tri-frequency excitation as illustrative examples. It revealsthat under specific NES parameters and different frequency parameters, the vibration damping effect at the center of the rectangular plate can exceed 37 % when resonance occurs. Furthermore, a comprehensive discussion on the parameter influence of NES showcases its remarkable versatility in multi-frequency vibration environments. This study will serve a valuable reference for effectively mitigating arbitrary multi-frequency vibration in plates.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"148 ","pages":"Article 108863"},"PeriodicalIF":3.4,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143855269","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

Turing-bifurcation in a cross-diffusive predator–prey system with generalist predator and nonlocal terms 具有一般捕食者和非局部项的交叉扩散捕食者-食饵系统的图灵分岔

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-11 DOI: 10.1016/j.cnsns.2025.108821

Jialu Tian, Ping Liu

引用次数: 0

Algebraic method of linearization of the fully nonlinear second order PDEs 全非线性二阶偏微分方程线性化的代数方法

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-11 DOI: 10.1016/j.cnsns.2025.108817

I.M. Tsyfra , T. Czyżycki

{"title":"Algebraic method of linearization of the fully nonlinear second order PDEs","authors":"I.M. Tsyfra , T. Czyżycki","doi":"10.1016/j.cnsns.2025.108817","DOIUrl":"10.1016/j.cnsns.2025.108817","url":null,"abstract":"<div><div>In this paper the group theoretical methods have been applied to study linearization and integrability of the fully nonlinear second order partial differential equations (PDEs) with two and three independent variables. The procedure of using Lie symmetry groups for formulating sufficient conditions of linearization of studied equations is described and also explicit algorithms for constructing their exact solutions are demonstrated. Two specific five-dimensional Lie algebras sufficient in determining the nonsingular change of variables which represents an invertible linearization mapping for fully nonlinear PDEs are studied. The criteria for linearization are formulated in a pure algebraic way based on the dimension and structure of the symmetry Lie algebra of the studied equation. It is well known that linear and integrable PDEs admit infinite-dimensional Lie algebra of symmetry, nevertheless in presented results it is shown that only five-dimensional Lie algebra provides linearization of PDEs. Algebraic methods have the advantage of being applicable to arbitrary equation including fully nonlinear PDE and they yield results like linearization of PDEs as well as construction of broad classes of explicit solutions depending on arbitrary functions which cannot be obtained by other approaches.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108817"},"PeriodicalIF":3.4,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143838484","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

Lifting and linear maps of invariant subspaces among the linear pencil, a pair of operators, and their operator transforms 线性铅笔间不变子空间的提升和线性映射，一对算子及其算子变换

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-10 DOI: 10.1016/j.cnsns.2025.108818

Jaewoong Kim , Jasang Yoon

{"title":"Lifting and linear maps of invariant subspaces among the linear pencil, a pair of operators, and their operator transforms","authors":"Jaewoong Kim , Jasang Yoon","doi":"10.1016/j.cnsns.2025.108818","DOIUrl":"10.1016/j.cnsns.2025.108818","url":null,"abstract":"<div><div>In this paper, we find and study explicit connections of invariant (hyperinvariant) subspaces among the linear pencil, a pair of operators, and their operator transforms. We show that for two given operators, a family of linear combinations has an invariant subspace if and only if the pair of the two operators has a joint invariant subspace. Next, we observe that if the two operators are commuting, then the results for invariant subspaces can be extended to hyperinvariant subspaces. We also remove the commuting condition of the pair of operators in previous results in this topic, as the commuting condition is not required to define a joint invariant subspace of a pair of operators. To accomplish this, we employ a technique adopting a horizontal asymptote of the linear combination of two operators. Next, we investigate the relations of invariant and hyperinvariant subspaces of operators by replacing the condition of dense ranges for the pair of operators with the condition of bounded belowness of a column operator, and vice versa. Finally, as an application of the results given above, we describe when a 2 by 2 operator matrix has a nontrivial invariant subspace. Our work has potential applications to studying PDEs and optimal control problems.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108818"},"PeriodicalIF":3.4,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143833118","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

Multifractal detrended fluctuation and rank-based analyses of time series generated by unbiased random walks on complex networks 复杂网络上无偏随机漫步产生的时间序列多重分形无趋势波动和基于秩的分析

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-10 DOI: 10.1016/j.cnsns.2025.108831

Bo Yuan , Jin-Long Liu , Zu-Guo Yu , Yu Zhou

{"title":"Multifractal detrended fluctuation and rank-based analyses of time series generated by unbiased random walks on complex networks","authors":"Bo Yuan , Jin-Long Liu , Zu-Guo Yu , Yu Zhou","doi":"10.1016/j.cnsns.2025.108831","DOIUrl":"10.1016/j.cnsns.2025.108831","url":null,"abstract":"<div><div>We simultaneously generate the vertex degree (VD) series and the vertex closeness centrality (VCC) series using unbiased random walks on three typical model networks, namely Erdös–Rényi (ER) random networks, Watts–Strogatz (WS) small-world networks, and Barabási–Albert (BA) scale-free networks, and then focus on distribution and correlation of these resultant series. First, distributions of the VD time series are found to inherit information about degree distributions of original networks so that benefit distinguishing the BA networks from the ER and WS networks. Second, for the ER and WS networks with the similar degree distributions, the multifractal detrended fluctuation analysis (MF-DFA) is applied to series of the ratio of their VCC to VD series, and reveals obviously different multifractal correlations. Therefore, the MF-DFA results can discriminate the ER from WS networks. Third, we employ the rank-based analysis to further investigate the VD and VCC series of three model networks and their corresponding reshuffling series. The resultant standard deviation series <span><math><msub><mrow><mi>σ</mi></mrow><mrow><mi>r</mi><mi>a</mi><mi>n</mi><mi>k</mi></mrow></msub></math></span> of reshuffling series for all three networks approximate a constant very close to that of the strict Gaussian white noise series; whereas the <span><math><msub><mrow><mi>σ</mi></mrow><mrow><mi>r</mi><mi>a</mi><mi>n</mi><mi>k</mi></mrow></msub></math></span> series of their VD and VCC series deviate from those of the reshuffling series in different patterns, and therefore can capture the intrinsic distinctions among these networks. Consequently, the proposed analyses of time series generated by unbiased random walks can effectively capture the inherent nature of original networks, which is further supported by analyses of a visibility network constructed from fractional Brownian motion and a real-world biological network.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108831"},"PeriodicalIF":3.4,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143833119","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

An Improved Polynomial Chaos-Legendre Metamodel Method for Hybrid Uncertainty Analysis of Flexible Multibody Systems 柔性多体系统混合不确定性分析的改进多项式混沌- legendre元模型方法

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-09 DOI: 10.1016/j.cnsns.2025.108853

Jingwei Meng , Yanfei Jin

{"title":"An Improved Polynomial Chaos-Legendre Metamodel Method for Hybrid Uncertainty Analysis of Flexible Multibody Systems","authors":"Jingwei Meng , Yanfei Jin","doi":"10.1016/j.cnsns.2025.108853","DOIUrl":"10.1016/j.cnsns.2025.108853","url":null,"abstract":"<div><div>Uncertainty quantification is of great significance to enhance the reliability and robustness of flexible multibody systems. The Polynomial chaos-Legendre metamodel (PCLM) method is commonly employed for hybrid uncertainty analysis of multibody systems; however, the fitting accuracy deteriorates over time when dealing with periodic time domain problems. To solve this problem, the Polynomial chaos-Legendre metamodel based on the local mean decomposition (PCLM-LMD), which combines the local mean decomposition technique (LMD) with the PCLM method, is proposed. Firstly, the LMD is utilized to decompose the multi-component responses of multibody systems into several mono-components and a trend component. Subsequently, the instantaneous amplitude (IA), instantaneous phase (IP), and the trend component are approximated using their respective surrogate models based on the PCLM method. The entire surrogate model of the system response can be established using the surrogate models of IA, IP, trend. Evaluation indices of the long-period dynamical response with hybrid uncertain parameters are obtained. Finally, the efficacy of the PCLM-LMD method is validated through two typical multibody dynamical models. Numerical results demonstrate that the PCLM-LMD method effectively solve the fitting accuracy issue at later time instants and present high-accuracy results in long-period dynamical response analysis compared to the PCLM method.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108853"},"PeriodicalIF":3.4,"publicationDate":"2025-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143820230","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

Approximation of the Koopman operator via Bernstein polynomials 用Bernstein多项式逼近Koopman算子

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-08 DOI: 10.1016/j.cnsns.2025.108819

Rishikesh Yadav, Alexandre Mauroy

{"title":"Approximation of the Koopman operator via Bernstein polynomials","authors":"Rishikesh Yadav, Alexandre Mauroy","doi":"10.1016/j.cnsns.2025.108819","DOIUrl":"10.1016/j.cnsns.2025.108819","url":null,"abstract":"<div><div>The Koopman operator approach provides a powerful linear description of nonlinear dynamical systems in terms of the evolution of observables. While the operator is typically infinite-dimensional, it is crucial to develop finite-dimensional approximation methods and characterize the related approximation errors with upper bounds, preferably expressed in the uniform norm. In this paper, we depart from the traditional use of orthogonal projection or truncation, and propose a novel method based on Bernstein polynomial approximation. Considering a basis of Bernstein polynomials, we construct a matrix approximation of the Koopman operator in a computationally effective way. Building on results of approximation theory, we characterize the rates of convergence and the upper bounds of the error in various contexts including the cases of univariate and multivariate systems, and continuous and differentiable observables. The obtained bounds are expressed in the uniform norm in terms of the modulus of continuity of the observables. Finally, the method is extended to a data-driven setting through a proper change of coordinates. Numerical experiments show that the method is robust to noise and demonstrates good performance for trajectory prediction.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"147 ","pages":"Article 108819"},"PeriodicalIF":3.4,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143820229","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

Conservation laws of mean field games equations 平均野战方程的守恒定律

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-04-07 DOI: 10.1016/j.cnsns.2025.108796

Roman Kozlov

引用次数: 0