Communications in Nonlinear Science and Numerical Simulation最新文献

Mechanical balance laws for the Nwogu system Nwogu系统的机械平衡规律

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-30 DOI: 10.1016/j.cnsns.2025.109370

Anders M. Norevik , Bashar Khorbatly , Henrik Kalisch

{"title":"Mechanical balance laws for the Nwogu system","authors":"Anders M. Norevik , Bashar Khorbatly , Henrik Kalisch","doi":"10.1016/j.cnsns.2025.109370","DOIUrl":"10.1016/j.cnsns.2025.109370","url":null,"abstract":"<div><div>Boussinesq systems, first introduced by J. Boussinesq in 1872, model small-amplitude shallow-water waves with weakly nonlinear and dispersive effects. Over time, various forms of these systems have been developed. A common feature is their solution variables: the time-dependent free-surface elevation and horizontal fluid velocity in the water column. In 1993, O. Nwogu introduced a modified Boussinesq system by taking the solution variable at a specific fluid depth. This innovation significantly improved the linear dispersion properties, extending the applicability of Boussinesq systems to greater water depths. Due to these enhanced properties, the Nwogu system has become a widely used tool for nearshore wave modelling. While Boussinesq systems are commonly applied to small-amplitude long waves, the mechanical properties of these systems—such as mass, momentum, and energy—have received comparatively little attention, even for the Nwogu system. By leveraging the conservation principle, which states that the rate of change of a quantity in a spatial region equals the net influx into that region, mechanical balance laws can be derived for water wave models. This study derives mass, momentum, and energy balance laws for the Nwogu system in a two-dimensional domain with realistic bottom topography, ensuring accuracy consistent with the system’s asymptotic precision.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109370"},"PeriodicalIF":3.8,"publicationDate":"2025-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145219434","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

Spatiotemporal dynamics in a periodic SIS epidemic model with Fokker–Planck-type diffusion 具有fokker - planck型扩散的周期性SIS流行病模型的时空动力学

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-28 DOI: 10.1016/j.cnsns.2025.109363

Kai Wang , Hao Wang , Jianshe Yu , Ran Zhang

{"title":"Spatiotemporal dynamics in a periodic SIS epidemic model with Fokker–Planck-type diffusion","authors":"Kai Wang , Hao Wang , Jianshe Yu , Ran Zhang","doi":"10.1016/j.cnsns.2025.109363","DOIUrl":"10.1016/j.cnsns.2025.109363","url":null,"abstract":"<div><div>To investigate the effects of seasonality and individual movement on disease transmission, we formulate a periodic SIS epidemic model with external supply governed by Fokker–Planck-type diffusion law in a spatially heterogeneous environment. A key feature of the model is the incorporation of Fokker–Planck-type diffusion to describe individual movement. We analyze the asymptotic profiles and uniform boundedness of the basic reproduction ratio <span><math><msub><mi>R</mi><mn>0</mn></msub></math></span> with respect to the dispersal rate by addressing challenges arising from periodicity and the diffusion mechanism. Under certain conditions, explicit upper bounds for the solution are derived following the comparison principle and invariant region theory. The threshold dynamics indicate that the disease-free <span><math><mi>θ</mi></math></span>-periodic solution is globally asymptotically stable as <span><math><mrow><msub><mi>R</mi><mn>0</mn></msub><mo><</mo><mn>1</mn></mrow></math></span> and the system becomes uniformly persistent as <span><math><mrow><msub><mi>R</mi><mn>0</mn></msub><mo>></mo><mn>1</mn></mrow></math></span>. Numerical analysis demonstrates that increasing the dispersal of susceptible individuals can reduce the scale of infection. Furthermore, periodicity is shown to enhance disease persistence and induce greater complexity into the disease dynamics.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109363"},"PeriodicalIF":3.8,"publicationDate":"2025-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145219432","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

Mixed zero-sum game based dynamic event-triggered optimal control of multi-input nonlinear system with safety constraints 基于混合零和博弈的安全约束多输入非线性系统动态事件触发最优控制

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-28 DOI: 10.1016/j.cnsns.2025.109376

Chunbin Qin , Zhongwei Wang , Suyang Hou , Mingyu Pang , Guanghui Wang , Ying Wang , Jishi Zhang , Xin Wang

{"title":"Mixed zero-sum game based dynamic event-triggered optimal control of multi-input nonlinear system with safety constraints","authors":"Chunbin Qin , Zhongwei Wang , Suyang Hou , Mingyu Pang , Guanghui Wang , Ying Wang , Jishi Zhang , Xin Wang","doi":"10.1016/j.cnsns.2025.109376","DOIUrl":"10.1016/j.cnsns.2025.109376","url":null,"abstract":"<div><div>This paper investigates the optimal safe control problem for mixed zero-sum game (MZS)-based multi-input nonlinear systems under dynamic event-triggered control with safety constraints. First, by employing a barrier-function-based system transformation methodology, the safety-constrained MZS game problem is converted into an equivalent system formulation, thereby ensuring persistent satisfaction of safety constraints throughout system operation. Secondly, a new dynamic event-triggered control is proposed for the multi-input MZS game system to reduce the system’s resource consumption. Furthermore, solving the Hamilton-Jacobi-Bellman (HJB) equation associated with the mixed zero-sum game (MZS) allows determination of the system’s optimal control strategy. Moreover, a critic neural network algorithm based on the experience replay is proposed to more efficiently approximate the optimal control strategy. Finally, the single-link robotic arm is employed to confirm the feasibility of the suggested method.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109376"},"PeriodicalIF":3.8,"publicationDate":"2025-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145220142","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

Differential constraints for hyperbolic systems through k−Riemann invariants 双曲型系统的k−Riemann不变量微分约束

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-28 DOI: 10.1016/j.cnsns.2025.109379

Alessandra Jannelli , Natale Manganaro , Alessandra Rizzo

引用次数: 0

Low-velocity impact response of rotating 2D-FGM annular plates with variable thickness 变厚度旋转2D-FGM环形板的低速冲击响应

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-26 DOI: 10.1016/j.cnsns.2025.109373

Yu-Hao Fan, Gui-Lin She

{"title":"Low-velocity impact response of rotating 2D-FGM annular plates with variable thickness","authors":"Yu-Hao Fan, Gui-Lin She","doi":"10.1016/j.cnsns.2025.109373","DOIUrl":"10.1016/j.cnsns.2025.109373","url":null,"abstract":"<div><div>In engineering applications, annular plates with non-uniform thickness profiles are widely used in various scenarios owing to their characteristics of reducing weight, optimizing material distribution, and maintaining sufficient stiffness and strength. However, the mechanical response of such structures is inherently more complex than that of uniformly thick plates due to the variation in geometric shape. Meanwhile, this complexity is further compounded by the unclear mechanisms governing how bidirectional functionally graded materials (2D-FGMs) and local geometric imperfections affect low-velocity impact responses in rotating variable-thickness annular plates. The present study investigates these nonlinear impact characteristics through a novel analytical framework. By synergistically combining the first-order shear deformation theory (FSDT) with the improved nonlinear Hertz contact theory, the nonlinear governing equations of the plate are derived. The degradation model is validated to ensure the correctness of the proposed model. Finally, numerical analysis is conducted using the Runge-Kutta method to investigate the effects of different parameters, such as material gradient index, thickness coefficient, impact location, and local imperfections, on the nonlinear low-velocity impact response characteristics of the annular plates.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109373"},"PeriodicalIF":3.8,"publicationDate":"2025-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145220141","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 equilateral central configurations in the 1+4-body problem 1+4体问题中的等边中心构型

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-26 DOI: 10.1016/j.cnsns.2025.109365

Martha Alvarez–Ramírez , Esther Barrabés , Josep M. Cors

引用次数: 0

Local entropy and nonextensivity of networks ensemble 网络集成的局部熵和非扩展性

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-26 DOI: 10.1016/j.cnsns.2025.109369

Meizhu Li , Qi Zhang

{"title":"Local entropy and nonextensivity of networks ensemble","authors":"Meizhu Li , Qi Zhang","doi":"10.1016/j.cnsns.2025.109369","DOIUrl":"10.1016/j.cnsns.2025.109369","url":null,"abstract":"<div><div>Network ensemble is a physical model proposed to describe complex networks under different constraints with heterogeneously interacting units. It is generally believed that the complexity of such systems arises from these heterogeneous interactions, which are nonextensive and nonadditive. In other words, exploring how nonextensivity is generated in network ensembles is significant for understanding how complexity emerges in networked complex systems. In this work, based on the concept of local entropy in network ensembles and the detection of nonlinear increases in local entropy of network ensembles represented by matrices with local constraints, we find that network ensembles are nonextensive; that is, nonextensivity generally exists in network ensembles. Through detailed calculation of the local entropy for newly added nodes, we also find that the freedom of nodes to connect with each other causes the appearance of nonextensivity in network ensembles. In other words, the complexity in complex networks may emerge from free local interactions within the network, which is fundamentally different from the constrained local interactions in the Ising model. These results show that local entropy is a powerful framework for studying nonextensivity in network ensembles, and is also a significant method for understanding complexity in networked complex systems.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109369"},"PeriodicalIF":3.8,"publicationDate":"2025-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145219429","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

Uniform polynomial decay of semi-discrete scheme for 1-D wave equation with nonlinear internal dissipation 非线性内耗散一维波动方程半离散格式的一致多项式衰减

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-25 DOI: 10.1016/j.cnsns.2025.109364

Bao-Zhu Guo , Ya-Ting Wang

引用次数: 0

Unconditionally optimal error estimates of an IMEX finite element method for time-dependent penetrative convection problem based on the exponential-SAV technique 基于指数- sav技术的时变穿透对流问题IMEX有限元法的无条件最优误差估计

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-25 DOI: 10.1016/j.cnsns.2025.109342

Xianru Tian, Yuan Li, Rong An

{"title":"Unconditionally optimal error estimates of an IMEX finite element method for time-dependent penetrative convection problem based on the exponential-SAV technique","authors":"Xianru Tian, Yuan Li, Rong An","doi":"10.1016/j.cnsns.2025.109342","DOIUrl":"10.1016/j.cnsns.2025.109342","url":null,"abstract":"<div><div>Based on an exponential scalar auxiliary variable technique, in this paper, we study a new first-order Euler implicit-explicit (IMEX) finite element scheme for the time-dependent penetrative convection problem. In designing this numerical scheme, the nonlinear terms are explicitly treated such that only a series of algebraic equations with constant coefficients need to be solved at each time step. The unconditional stability of numerical scheme is proved and the unconditionally optimal error estimates of the velocity, temperature in <span><math><msup><mi>H</mi><mn>1</mn></msup></math></span> and <span><math><msup><mi>L</mi><mn>2</mn></msup></math></span> norms and the pressure in the discrete <span><math><msup><mi>L</mi><mn>2</mn></msup></math></span> norm are derived without any CFL type condition by discussing two cases of <span><math><mrow><mi>τ</mi><mo>≤</mo><msup><mi>h</mi><mn>2</mn></msup></mrow></math></span> and <span><math><mrow><mi>τ</mi><mo>≥</mo><msup><mi>h</mi><mn>2</mn></msup></mrow></math></span>, respectively, where <span><math><mi>τ</mi></math></span> and <span><math><mi>h</mi></math></span> are time step and mesh size. Finally, we give numerical results to confirm the theoretical analysis.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109342"},"PeriodicalIF":3.8,"publicationDate":"2025-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145219438","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 approach towards discrete-time realization of fractional-order proportional integral controller 分数阶比例积分控制器离散化实现的一种新方法

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-25 DOI: 10.1016/j.cnsns.2025.109322

Bhanita Adhikary, Jaydeep Swarnakar

{"title":"A novel approach towards discrete-time realization of fractional-order proportional integral controller","authors":"Bhanita Adhikary, Jaydeep Swarnakar","doi":"10.1016/j.cnsns.2025.109322","DOIUrl":"10.1016/j.cnsns.2025.109322","url":null,"abstract":"<div><div>In this work, a novel approach for realization of the discrete-time fractional-order proportional integral (FOPI) controller has been presented for two fractional-order plant models. The realization of the fractional-order controller has been implemented in two phases. The first phase involves designing the FOPI controller in the continuous-time domain based upon specific frequency domain design criteria through Bode’s ideal transfer function (BITF) and time-delayed Bode’s ideal transfer function methods. In the second phase, a new generating function named Modified Visweswaran-Varshney-Gupta-Schneider-Delta (MV<sup>2</sup>GSD) approximation has been proposed in the delta domain. The developed generating function undergoes continued fraction expansion (CFE) for discrete-time realization of the controller. The advantage of realizing the discrete-time controller in the delta domain over the conventional <span><math><mi>z</mi></math></span>-domain has been highlighted, which shows the unification of the discrete-time model with its underlying continuous-time model at a fast sampling rate. Further, simulation studies have been carried out with some benchmark examples to study the effectiveness of the proposed discretization method.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"152 ","pages":"Article 109322"},"PeriodicalIF":3.8,"publicationDate":"2025-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145157243","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