Communications in Nonlinear Science and Numerical Simulation最新文献_第6页

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

Dynamical robustness of higher-order complex networks 高阶复杂网络的动态鲁棒性

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-02-01 DOI: 10.1016/j.cnsns.2026.109812

Hongmiao Wang , Linying Xiang , Fei Chen

引用次数: 0

Two-grid reduced-dimension method and applications for the nonlinear single phase flow model coupled with ground stress in porous median 孔隙中耦合地应力的非线性单相流模型的两网格降维方法及应用

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.2026.109793

Jie Chu , Yuejie Li , Minfu Feng , Zhendong Luo

{"title":"Two-grid reduced-dimension method and applications for the nonlinear single phase flow model coupled with ground stress in porous median","authors":"Jie Chu , Yuejie Li , Minfu Feng , Zhendong Luo","doi":"10.1016/j.cnsns.2026.109793","DOIUrl":"10.1016/j.cnsns.2026.109793","url":null,"abstract":"<div><div>This article mainly discusses the two grid model dimension reduction about the coupling problem between the non-linear single phase fluid model and the ground stress including the unknown multi physical quantities such as the natural gas motion speed and pressure, and ground stress, poriness, and structure displacement. To address this issue, a mixed variational form, a temporal semi discrete Crank-Nicolson algorithm with 2nd-order temporal precision, and a two-grid Crank-Nicolson mixed finite element (TGCNMFE) algorithm for the non-linear problem are established, and the existence, stationarity, and error estimations of the temporal semi discrete solutions and the TGCNMFE solutions are stated. However, the ultimate goal of this article is to reduce the dimension for the unknown TGCNMFE solution coefficient vectors and establish the TGCNMFE reduced-dimension (TGCNMFERD) model by using proper orthogonal decomposition, and attest the existence, unconditional stationarity, and error estimates for the TGCNMFERD solutions by means of matrix analysis. Moreover, through some numerical tests to the changes in displacement, speed, pressure, and stress near the oil well, the rightness for the obtained theory results and the effectiveness for the TGCNMFERD method are verified. The results show that the TGCNMFERD model can greatly reduce unknowns, alleviate calculating load, and improve computational efficiency.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"158 ","pages":"Article 109793"},"PeriodicalIF":3.8,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146072044","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 reaction-diffusion-taxis model for toxicant-predator-prey interaction dynamics 毒物-捕食者-猎物相互作用动力学的反应-扩散-趋向性模型

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-01-22 DOI: 10.1016/j.cnsns.2026.109760

Xiumei Deng , Qihua Huang , Hai-Yang Jin

{"title":"A reaction-diffusion-taxis model for toxicant-predator-prey interaction dynamics","authors":"Xiumei Deng , Qihua Huang , Hai-Yang Jin","doi":"10.1016/j.cnsns.2026.109760","DOIUrl":"10.1016/j.cnsns.2026.109760","url":null,"abstract":"<div><div>We develop a reaction-diffusion-taxis model to investigate the dynamic interactions between a toxicant and a predator-prey system within a contaminated aquatic ecosystem. The model includes taxis terms induced by the toxicant to capture the evasive movement of individuals as they seek to avoid exposure to the toxicant. We establish the global well-posedness of solutions for the reaction-diffusion-taxis system. We prove the global asymptotic stability of spatially uniform steady states. Through linear stability analysis, we derive sufficient conditions for the destabilization of these uniform steady states. Numerically, we explore the influence of key toxicant-related parameters—such as toxicant input rate, toxicant-taxis intensity, and species susceptibility to toxicants—on the persistence and spatial distribution of prey and predator populations. Our results demonstrate that: (i) High-intensity toxicant-taxis can induce spatial segregation and aggregation patterns between the toxicant and populations; (ii) when predators are more susceptible to toxicants than their prey, a moderate increase in toxicant concentration may, counterintuitively, enhance prey persistence; and (iii) spatially heterogeneous toxicant inputs can promote species persistence, thereby supporting ecosystem biodiversity.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"158 ","pages":"Article 109760"},"PeriodicalIF":3.8,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146033904","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