Communications in Nonlinear Science and Numerical Simulation最新文献

英文中文

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 Q1 MATHEMATICS, APPLIED

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

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 q-Dependent detrended cross-correlation coefficients (q-DCCA-ARRMT). This approach replaces Pearson correlation coefficients with q-DCCA coefficients to construct correlation matrices, thereby integrating multiscale detrending and amplitude-sensitive correlation measures into the ARRMT framework. Numerical experiments demonstrate that the q-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.

为了研究多尺度非平稳数据中不同振幅波动之间相互关联的统计性质，将自回归随机矩阵理论（ARRMT）扩展到多重分形情况，提出了一种基于q依赖的去趋势相互关联系数（q-DCCA-ARRMT）的自回归随机矩阵理论方法。该方法用q-DCCA系数代替Pearson相关系数构建相关矩阵，从而将多尺度去趋势和幅度敏感相关测度整合到ARRMT框架中。数值实验表明，q-DCCA-ARRMT程序明确地解决了非平稳时间序列中的自相关效应，量化了不同时间尺度上大小振幅波动之间的相互关联，并通过其去趋势技术减轻了趋势引起的偏差。对标准普尔500指数42只成分股的实证应用揭示了尺度依赖的相互依赖结构，而对北京空气质量系统的分析则确定了不同时间尺度上的主要污染物。通过将多重分形分析与随机矩阵理论相结合，该框架为描述复杂非平稳数据集（如定量金融和环境科学中的数据集）中的非线性、多尺度相互作用提供了一个通用工具。

{"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

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 Q1 MATHEMATICS, APPLIED

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

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

z = 0

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 q on the complex plane, the convergence of the formal solution is proved by constructing the majorant series of the formal solution. Especially, when q 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.

本文研究了一类具有多个比例时滞的非线性微分方程解析解的存在性（见引言第1.4节）。首先，给出了当方程为迟钝型或中立型时解析解在常点z=0附近存在的充分条件。其次，对于该方程的一种特殊情况（见引言（1.7）），我们证明了它在正则奇点附近有一种特殊形式的幂级数解。最后，对本文所考虑的几种特殊情况进行了数值模拟。本文采用的方法是经典的主级数法。根据比例延迟乘子q在复平面上的位置，通过构造形式解的主级数证明了形式解的收敛性。特别是当q在单位圆上而不是单位圆的根上时，证明中涉及到一些处理小因子问题的技巧，包括戴维引理的应用。

{"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 Q1 MATHEMATICS, APPLIED

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

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.

在三电机振动系统中，由于系统固有的耦合特性，各转子很难实现零相位同步，这会降低激振力。为此，提出了一种改进的自抗扰控制算法来改善振动系统的性能。通过将自适应反步控制算法融合到自抗扰控制器中，在保证响应速度和控制精度的同时，简化了复杂的高阶异步电动机系统。首先，基于物理模型和拉格朗日方程建立了振动系统的运动学方程；随后，将主从控制结构与三环结构相结合，设计了自动调速器（ASR）和自动相位调节器（APR），并利用Barbalat引理证明了控制系统的稳定性。最后，利用龙格-库塔法建立了振动系统的机电耦合模型，并进行了自同步和控制同步仿真。结果表明，该控制系统具有较强的抗负载扰动能力。此外，它可以使转子之间的相位差迅速收敛于零，表现出比自同步系统更大的激励力。该研究直观地揭示了多电机系统的同步控制特性，为多电机振动系统的改进提供了新的见解。

{"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 Q1 MATHEMATICS, APPLIED

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

This paper explores probability-based dynamic event-triggered security control for fuzzy systems with nonhomogeneous sojourn probabilities (NSPs). A novel framework for NSP-based fuzzy systems is developed using a deterministic signal to accurately capture dynamic behavior, thereby overcoming the challenge of estimating mode transition probabilities. Considering the stochastic nature of network-induced delays, a new probability-based dynamic event-triggered protocol is proposed, where the threshold function is mode-dependent and adapts probabilistically. Additionally, to address delay segmentation and deception attacks effectively, a flexible protocol-based fuzzy control law is introduced, leveraging probability distribution information. Finally, the theoretical findings are validated through simulation experiments using a mass-spring mechanical model, confirming their effectiveness and practical applicability.

研究了非齐次逗留概率模糊系统的基于概率的动态事件触发安全控制。提出了一种新的基于nsp的模糊系统框架，利用确定性信号准确捕获动态行为，从而克服了估计模式转移概率的挑战。考虑到网络延迟的随机性，提出了一种新的基于概率的动态事件触发协议，该协议的阈值函数依赖于模式并具有概率适应性。此外，为了有效地解决延迟分割和欺骗攻击，引入了一种灵活的基于协议的模糊控制律，利用概率分布信息。最后，通过质量-弹簧力学模型的仿真实验验证了理论结果，验证了理论结果的有效性和实用性。

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 Q1 MATHEMATICS, APPLIED

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

We consider a fractional Korteweg de Vries-Benjamin Bona Mahony (KdV-BBM) type equation including both fractional dispersive terms of fractional KdV and fractional BBM equations. We aim to enhance the existence time of solutions with small initial data

∥ u_{0} ∥_{H^{N + α / 2}} = ϵ

from

\frac{1}{ϵ}

\frac{1}{ϵ^{2}}

. The proof relies on the combination of a modified energy method with Fourier techniques. In addition, the long time existence issues are investigated numerically. Numerical observations of the lifespan give an evidence of existence of solutions beyond the hyperbolic time scale. This study provides a detailed analysis from both analytical and numerical aspects for the existence of smooth solutions.

我们考虑一个分数阶Korteweg de Vries-Benjamin Bona Mahony （KdV-BBM）型方程，它包含分数阶KdV和分数阶BBM方程的分数阶色散项。我们的目标是提高初始数据小的解的存在时间∥u0∥HN+α/2= λ，从1λ到1ϵ2。证明依赖于改进的能量法与傅里叶技术的结合。此外，还对长期存在的问题进行了数值研究。寿命的数值观测提供了超越双曲时间尺度的解存在的证据。本文从解析和数值两个方面对光滑解的存在性进行了详细的分析。

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 Q1 MATHEMATICS, APPLIED

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

This paper investigates the dynamical robustness of higher-order complex networks subject to random noise, where the higher-order interactions are represented by simplicial complexes. We model node failures by injecting stochastic perturbations into the corresponding node dynamics and analyze robustness within the framework of mean-square stochastic stability. We introduce a novel robustness metric to quantify the synchronization performance of higher-order networks under noise. The results demonstrate that node dynamics critically shape the robustness of such systems. Moreover, numerical simulations illustrate how noise intensity, dynamical parameters, and higher-order topological structures jointly determine the dynamical robustness of simplicial complexes.

研究受随机噪声影响的高阶复杂网络的动态鲁棒性，其中高阶相互作用用简单复数表示。我们通过在相应的节点动力学中注入随机扰动来模拟节点故障，并在均方随机稳定性的框架内分析鲁棒性。我们引入了一种新的鲁棒性度量来量化高阶网络在噪声下的同步性能。结果表明，节点动力学对此类系统的鲁棒性至关重要。此外，数值模拟说明了噪声强度、动力学参数和高阶拓扑结构如何共同决定简单复合体的动态鲁棒性。

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 Q1 MATHEMATICS, APPLIED

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

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.

本文主要讨论了非线性单相流体模型与地应力耦合问题的两网格模型降维问题，其中包括天然气运动速度、运动压力、地应力、孔隙度、构造位移等未知多物理量。为了解决这一问题，建立了非线性问题的混合变分形式、具有二阶时间精度的时间半离散Crank-Nicolson算法和两网格Crank-Nicolson混合有限元（TGCNMFE）算法，并给出了时间半离散解和TGCNMFE解的存在性、平稳性和误差估计。然而，本文的最终目的是对未知的TGCNMFE解系数向量进行降维，通过适当的正交分解建立TGCNMFE降维（TGCNMFERD）模型，并通过矩阵分析证明TGCNMFERD解的存在性、无条件平稳性和误差估计。通过对油井附近位移、速度、压力和应力变化的数值试验，验证了所得理论结果的正确性和TGCNMFERD方法的有效性。结果表明，TGCNMFERD模型可以大大减少未知量，减轻计算负荷，提高计算效率。

{"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 Q1 MATHEMATICS, APPLIED

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

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.

我们开发了一个反应-扩散-趋向性模型来研究被污染的水生生态系统中有毒物质和捕食者-猎物系统之间的动态相互作用。该模型包括由有毒物质诱导的出租车术语，以捕捉个体在寻求避免暴露于有毒物质时的逃避运动。我们建立了反应-扩散-趋向性系统解的全局适定性。证明了空间一致稳态的全局渐近稳定性。通过线性稳定性分析，我们得到了这些均匀稳态失稳的充分条件。在数值上，我们探讨了与毒物相关的关键参数——如毒物输入率、毒物趋向性强度和物种对毒物的易感性——对猎物和捕食者种群的持久性和空间分布的影响。研究结果表明：(1)高强度毒物趋向性可导致毒物与种群之间的空间分离和聚集模式；（ii）当捕食者比猎物更容易受到有毒物质的影响时，与直觉相反，有毒物质浓度的适度增加可能会增强猎物的持久性；(3)空间异质性毒物输入可以促进物种持久性，从而支持生态系统的生物多样性。

{"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

Contrast independent partially explicit splitting scheme for semi-linear multiscale wave equations with damping term 具有阻尼项的半线性多尺度波动方程的对比独立部分显式分裂格式

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation

Pub Date : 2026-07-01 Epub Date: 2026-01-24 DOI: 10.1016/j.cnsns.2026.109784

Zhengya Yang, Yating Wang

In this paper, we propose an efficient temporal splitting scheme for semi-linear wave equations with multiscale high contrast coefficient. We employed the central difference scheme to handle the first- and second-order temporal derivatives. Additionally, the nonlinear term is treated explicitly to avoid iterative solving at each time step. To address the multiscale high contrast features, we further introduce a partially explicit temporal splitting scheme. This scheme utilizes the constraint energy minimization generalized multiscale finite element method (CEM-GMsFEM) to construct two multiscale spaces, effectively separating the high contrast component from the background medium. Then the scheme treats implicitly the subspace containing the high contrast and explicitly the other, such that the time step size is independent of the high contrast. We proved energy decrease and stability, providing explicit stability conditions. Finally, serval numerical experiments demonstrated that our proposed algorithm achieves robust performance across varying multiscale parameters.

本文针对多尺度高对比度系数半线性波动方程，提出了一种有效的时间分裂方法。我们采用中心差分格式来处理一阶和二阶时间导数。此外，对非线性项进行了明确处理，避免了每个时间步的迭代求解。为了解决多尺度高对比度的特点，我们进一步引入了一种部分显式的时间分裂方案。该方案利用约束能量最小化广义多尺度有限元法（CEM-GMsFEM）构造两个多尺度空间，有效地将高对比度分量与背景介质分离。然后，该方案隐式处理包含高对比度的子空间，显式处理包含高对比度的子空间，使得时间步长与高对比度无关。我们证明了能量减少和稳定性，给出了明确的稳定性条件。最后，通过数值实验验证了该算法在不同多尺度参数下的鲁棒性。

{"title":"Contrast independent partially explicit splitting scheme for semi-linear multiscale wave equations with damping term","authors":"Zhengya Yang, Yating Wang","doi":"10.1016/j.cnsns.2026.109784","DOIUrl":"10.1016/j.cnsns.2026.109784","url":null,"abstract":"<div><div>In this paper, we propose an efficient temporal splitting scheme for semi-linear wave equations with multiscale high contrast coefficient. We employed the central difference scheme to handle the first- and second-order temporal derivatives. Additionally, the nonlinear term is treated explicitly to avoid iterative solving at each time step. To address the multiscale high contrast features, we further introduce a partially explicit temporal splitting scheme. This scheme utilizes the constraint energy minimization generalized multiscale finite element method (CEM-GMsFEM) to construct two multiscale spaces, effectively separating the high contrast component from the background medium. Then the scheme treats implicitly the subspace containing the high contrast and explicitly the other, such that the time step size is independent of the high contrast. We proved energy decrease and stability, providing explicit stability conditions. Finally, serval numerical experiments demonstrated that our proposed algorithm achieves robust performance across varying multiscale parameters.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"158 ","pages":"Article 109784"},"PeriodicalIF":3.8,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146047908","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 quasi-synchronization of memristive neural networks under quantized intermittent event-triggered control 量化间歇事件触发控制下记忆神经网络的有限时间拟同步

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation

Pub Date : 2026-06-01 Epub Date: 2026-01-10 DOI: 10.1016/j.cnsns.2026.109741

Dingxiang Wang , Xu Zeng , Chao Zhou , Leyuan Wu

Memristive neural networks (MNNs) have attracted attracted considerable research interest owing to their potential applications in areas such as image encryption and secure transmission, where synchronization signals are exchanged through digital communication channels. Consequently, reducing communication load and mitigating the quantization effects inherent in digital transmission are essential for ensuring reliable synchronization performance. Motivated by these challenges, this study proposed a quantized intermittent event-triggered control scheme and investigated a novel type of synchronization model—finite-time quasi-synchronization for MNNs. First, an inhomogeneous differential inequality was established as a general lemma that is used to address the finite-time quasi-synchronization problem. Subsequently, considering resource-constrained digital communication systems, a quantized intermittent event-triggered control mechanism was developed to minimize redundant transmissions and alleviate errors caused by signal quantization. By integrating the proposed differential inequality with Lyapunov stability theory, sufficient conditions were derived to guarantee finite-time quasi-synchronization of MNNs. Explicit expressions for the synchronization error bound and the settling time are also obtained. Based on these results, an optimization framework was formulated to analyze and enhance synchronization performance. Finally, numerical simulations validated the effectiveness of the proposed approach and confirmed the theoretical analysis.

记忆神经网络（MNNs）由于其在图像加密和安全传输等领域的潜在应用而引起了相当大的研究兴趣，其中同步信号通过数字通信通道交换。因此，减少通信负荷和减轻数字传输中固有的量化效应对于确保可靠的同步性能至关重要。针对这些挑战，本研究提出了一种量化的间歇事件触发控制方案，并研究了一种新型的mnn同步模型-有限时间准同步。首先，建立了一个非齐次微分不等式作为求解有限时间拟同步问题的一般引理。随后，针对资源受限的数字通信系统，提出了一种量化的间歇事件触发控制机制，以减少冗余传输，减轻信号量化带来的误差。将所提出的微分不等式与Lyapunov稳定性理论相结合，得到了保证mnn有限时间准同步的充分条件。得到了同步误差边界和稳定时间的显式表达式。基于这些结果，制定了一个优化框架来分析和提高同步性能。最后，通过数值仿真验证了所提方法的有效性，验证了理论分析的正确性。

{"title":"Finite-time quasi-synchronization of memristive neural networks under quantized intermittent event-triggered control","authors":"Dingxiang Wang , Xu Zeng , Chao Zhou , Leyuan Wu","doi":"10.1016/j.cnsns.2026.109741","DOIUrl":"10.1016/j.cnsns.2026.109741","url":null,"abstract":"<div><div>Memristive neural networks (MNNs) have attracted attracted considerable research interest owing to their potential applications in areas such as image encryption and secure transmission, where synchronization signals are exchanged through digital communication channels. Consequently, reducing communication load and mitigating the quantization effects inherent in digital transmission are essential for ensuring reliable synchronization performance. Motivated by these challenges, this study proposed a quantized intermittent event-triggered control scheme and investigated a novel type of synchronization model—finite-time quasi-synchronization for MNNs. First, an inhomogeneous differential inequality was established as a general lemma that is used to address the finite-time quasi-synchronization problem. Subsequently, considering resource-constrained digital communication systems, a quantized intermittent event-triggered control mechanism was developed to minimize redundant transmissions and alleviate errors caused by signal quantization. By integrating the proposed differential inequality with Lyapunov stability theory, sufficient conditions were derived to guarantee finite-time quasi-synchronization of MNNs. Explicit expressions for the synchronization error bound and the settling time are also obtained. Based on these results, an optimization framework was formulated to analyze and enhance synchronization performance. Finally, numerical simulations validated the effectiveness of the proposed approach and confirmed the theoretical analysis.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"157 ","pages":"Article 109741"},"PeriodicalIF":3.8,"publicationDate":"2026-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145957220","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

首页上一页

下一页尾页

类型

全部化学•材料生命科学医学物理工程技术环境•农林材料科学地球科学法学管理学化学环境科学与生态学计算机科学教育学经济学农林科学人文科学生物学数学物理与天体物理心理学综合性期刊其他工业工程理学历史学农学文学信息工程

数据库

全部 ACS Publications Elsevier ieeexplore Springer The Royal Society of Chemistry Wiley

期刊

Communications in Nonlinear Science and Numerical Simulation

全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.

﹀