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

Nonlinear energy harvesting of a piezoelectric pipe conveying fluid integrating boundary and geometric nonlinearities 集成边界非线性和几何非线性的压电管道输送流体的非线性能量收集

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-01-27 DOI: 10.1016/j.cnsns.2026.109799

Feng Liang , Tian-Chi Yu , Yao Chen , Xiao-Tian Guo

{"title":"Nonlinear energy harvesting of a piezoelectric pipe conveying fluid integrating boundary and geometric nonlinearities","authors":"Feng Liang , Tian-Chi Yu , Yao Chen , Xiao-Tian Guo","doi":"10.1016/j.cnsns.2026.109799","DOIUrl":"10.1016/j.cnsns.2026.109799","url":null,"abstract":"<div><div>To address the inherent narrow-bandwidth limitation of conventional linear energy harvesting, this study proposes a nonlinear fluid-structure interaction (FSI) energy harvester based on a bimorph pipe conveying fluid constrained by retaining clips, which introduces two distinct nonlinear mechanisms: i) boundary nonlinearity due to the equivalent nonlinear stiffness, and ii) geometric nonlinearity from the extensible centerline of the pipe. The electro-mechanical governing equations of such nonlinear FSI system are established via the Hamilton principle, whereby the complex eigenfrequencies are first obtained for stability analysis. The vibration and electrical responses are further attained to evaluate the energy harvesting performance. In particular, a novel supercritical analysis is conducted to predict the harvester behaviour under buckling and flutter instabilities. Numerical results demonstrate that the designed nonlinear harvester significantly improves the operational bandwidth, and its performance can be regulated by tuning various system parameters. Interestingly, the FSI effect contributes to a broader energy harvesting bandwidth in the low-frequency region, but leads to a reduced peak voltage in the flutter state. In addition to force excitation, displacement excitation is also concerned, under which a better energy harvesting performance is exhibited. However, high nonlinear stiffness in this pattern may result in numerical divergence.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"158 ","pages":"Article 109799"},"PeriodicalIF":3.8,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146072048","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 class of feedback control problems in Bingham flow 一类Bingham流的反馈控制问题

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-02-03 DOI: 10.1016/j.cnsns.2026.109813

Jiangfeng Han , Yanhe Mo , Zhenhai Liu , Stanislaw Migórski

引用次数: 0

Energy-decreasing parametric finite element method for geodesic Willmore flow 测地线Willmore流的降能参数有限元法

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-01-23 DOI: 10.1016/j.cnsns.2026.109783

Cuiling Ma, Xufeng Xiao, Xiaoling Zhang, Xinlong Feng

引用次数: 0

On the well-posedness and numerical approximation of a nonlocal thermistor problem 非局部热敏电阻问题的适定性和数值逼近

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-01-29 DOI: 10.1016/j.cnsns.2026.109810

Ibrahim Dahi , Moulay Rchid Sidi Ammi , Mostafa Tahiri , Delfim F.M. Torres

引用次数: 0

Sigma compact pullback attractors and statistical solutions for discrete semi-dissipative nonlinear Schrödinger equations 离散半耗散非线性Schr odinger方程的Sigma紧拉吸引子和统计解

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-02-04 DOI: 10.1016/j.cnsns.2026.109816

Caidi Zhao , Jing Dou , Lele He , Tomás Caraballo

{"title":"Sigma compact pullback attractors and statistical solutions for discrete semi-dissipative nonlinear Schrödinger equations","authors":"Caidi Zhao , Jing Dou , Lele He , Tomás Caraballo","doi":"10.1016/j.cnsns.2026.109816","DOIUrl":"10.1016/j.cnsns.2026.109816","url":null,"abstract":"<div><div>In this article, we study the pullback asymptotic behavior and the existence of statistical solutions for the coupled lattice system of nonlinear semi-dissipative Schrödinger equations describing a Bose-Einstein condensate with an impurity. Firstly, we prove that the generated evolution process of the solution mappings possesses a pullback attractor which pullback attracts any bounded subset of the phase space with respect to a certain mixed distance. Secondly, we establish that the process possesses a family of invariant Borel probability measures which is a statistical solution of the addressed equations. Our results reveal that the semi-dissipative lattice nonlinear Schrödinger equations satisfy the Liouville theorem, and that the Boson wave function plays the dominant role while the impurity wave function plays the subordinate role in the evolution dynamics. The approaches presented here can be extended to investigate the invariant measures and statistical solutions for other nonlinear semi-dissipative partial differential equations.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"158 ","pages":"Article 109816"},"PeriodicalIF":3.8,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146134773","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

Construction of analytic solutions to nonlinear differential equations with multiple proportional delays 具有多个比例时滞的非线性微分方程解析解的构造

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-01-29 DOI: 10.1016/j.cnsns.2026.109795

Jianguo Si , Xinyu Guan

{"title":"Construction of analytic solutions to nonlinear differential equations with multiple proportional delays","authors":"Jianguo Si , Xinyu Guan","doi":"10.1016/j.cnsns.2026.109795","DOIUrl":"10.1016/j.cnsns.2026.109795","url":null,"abstract":"<div><div>This paper is devoted to studying the existence of analytic solutions to a class of nonlinear differential equations with multiple proportional delays (see (1.4) in introduction). Firstly, we give the sufficient conditions for the existence of the analytic solutions near an ordinary point <span><math><mrow><mi>z</mi><mo>=</mo><mn>0</mn></mrow></math></span> when the equation is a retarded type or a neutral type. Next, for a special case of this equation (see (1.7) in introduction), we prove that it has a special form of power series solution near a regular singular point. Finally, for several special cases of this equation considered in this paper we perform numerical simulations. The method used in this paper is the classical majorant series method. According to the position of the proportional delay multiplier <em>q</em> on the complex plane, the convergence of the formal solution is proved by constructing the majorant series of the formal solution. Especially, when <em>q</em> is on the unit circle but not a root of the unity, the proofs involve some techniques to handle small divisor problems including the application of Davie’s lemma.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"158 ","pages":"Article 109795"},"PeriodicalIF":3.8,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146072034","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

Synchronization analysis of tri-motor vibration system considering an improved Active Disturbance Rejection Control algorithm 考虑改进自抗扰控制算法的三电机振动系统同步分析

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-01-27 DOI: 10.1016/j.cnsns.2026.109802

Faming Lei , Mingjun Du , Cheng Yu

{"title":"Synchronization analysis of tri-motor vibration system considering an improved Active Disturbance Rejection Control algorithm","authors":"Faming Lei , Mingjun Du , Cheng Yu","doi":"10.1016/j.cnsns.2026.109802","DOIUrl":"10.1016/j.cnsns.2026.109802","url":null,"abstract":"<div><div>In the tri-motor vibration system, due to the inherent coupling characteristics of the system, it is difficult for each rotor to achieve the zero-phase synchronization, which will reduce the exciting force. Therefore, an improved Active Disturbance Rejection Control (ADRC) algorithm is proposed to improve the performance of the vibrating system. By fusing the adaptive backstepping control algorithm into the ADRC, the complex high-order system of asynchronous motors is simplified, while ensuring response speed and control accuracy. Firstly, kinematic equations of the vibration system are established based on the physical model and Lagrange equations. Subsequently, the master-slave control structure is combined with the three-loop structure to design automatic speed regulator (ASR) and automatic phase regulator (APR), and the stability of the control system is proven using Barbalat's Lemma. Finally, the electromechanical coupling model of the vibration system is established using the Runge-Kutta method, and simulations of self-synchronization and control synchronization are conducted. The results indicate that the control system possesses the strong capability to resist load disturbances. Moreover, it can make the phase difference between rotors converge to zero rapidly, exhibiting a greater excitation force compared to self-synchronization systems. The research intuitively reveals the synchronous control characteristics of multi-motor systems, providing new insights for the improvement of multi-motor vibration systems.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"158 ","pages":"Article 109802"},"PeriodicalIF":3.8,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146072043","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

Protocol-Based security control for fuzzy systems with nonhomogeneous sojourn probabilities 基于协议的非齐次暂居概率模糊系统安全控制

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-01-28 DOI: 10.1016/j.cnsns.2026.109803

Yonghong Chen , Shoucheng Yuan , Xiaoqiu Lv , Jun Cheng , Jinde Cao

引用次数: 0

Autoregressive random matrix theory based on the q-Dependent detrended cross-correlation coefficient 基于q相关去趋势互相关系数的自回归随机矩阵理论

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-01-30 DOI: 10.1016/j.cnsns.2026.109782

Bei Tan , Fang Wang , Zu-Guo Yu

{"title":"Autoregressive random matrix theory based on the q-Dependent detrended cross-correlation coefficient","authors":"Bei Tan , Fang Wang , Zu-Guo Yu","doi":"10.1016/j.cnsns.2026.109782","DOIUrl":"10.1016/j.cnsns.2026.109782","url":null,"abstract":"<div><div>In order to investigate the statistical properties of cross-correlations among fluctuations of varying amplitudes in nonstationary data across multiple scales, we extend autoregressive random matrix theory (ARRMT) to multifractal cases and introduce a novel autoregressive random matrix theory approach based on <em>q</em>-Dependent detrended cross-correlation coefficients (<em>q</em>-DCCA-ARRMT). This approach replaces Pearson correlation coefficients with <em>q</em>-DCCA coefficients to construct correlation matrices, thereby integrating multiscale detrending and amplitude-sensitive correlation measures into the ARRMT framework. Numerical experiments demonstrate that the <em>q</em>-DCCA-ARRMT procedure explicitly addresses autocorrelation effects in nonstationary time series, quantifies cross-correlations between small-to-large amplitude fluctuations at distinct temporal scales, and mitigates trend-induced deviation through its detrending technology. The empirical application to 42 constituent stocks of the S&P 500 Index revealed scale-dependent interdependency structures, while the analysis of Beijing’s air quality system identified the dominant pollutants at different time scales. By integrating multifractal analysis with random matrix theory, this framework provides a general tool for characterizing nonlinear, multiscale interactions in complex nonstationary datasets such as those in quantitative finance and environmental science.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"158 ","pages":"Article 109782"},"PeriodicalIF":3.8,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146089382","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

On the long time existence of a fractional KdV-BBM type equation 分数阶KdV-BBM型方程的长时间存在性

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-02-02 DOI: 10.1016/j.cnsns.2026.109809

Goksu Oruc

引用次数: 0