Communications in Nonlinear Science and Numerical Simulation最新文献

Dynamic stochastic optimization for sustainability and management of overconsumption 过度消费可持续性与管理的动态随机优化

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-26 DOI: 10.1016/j.cnsns.2025.108960

Rosella Castellano , Roy Cerqueti

引用次数: 0

Characterization of quasi-periodic dynamics of a magnetic nanoparticle 磁性纳米粒子的准周期动力学表征

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-22 DOI: 10.1016/j.cnsns.2025.108942

J.A. Vélez , L.M. Pérez , A.E. Pizarro , L. Pedraja-Rejas , O.J. Suarez , R. Hernández-García , R.J. Barrientos , J. Bragard , D. Laroze , R.M. Otxoa

{"title":"Characterization of quasi-periodic dynamics of a magnetic nanoparticle","authors":"J.A. Vélez , L.M. Pérez , A.E. Pizarro , L. Pedraja-Rejas , O.J. Suarez , R. Hernández-García , R.J. Barrientos , J. Bragard , D. Laroze , R.M. Otxoa","doi":"10.1016/j.cnsns.2025.108942","DOIUrl":"10.1016/j.cnsns.2025.108942","url":null,"abstract":"<div><div>This work presents a systematic characterization of the quasi-periodic dynamics of a uniaxial anisotropic magnetic nanoparticle under the influence of a time-varying external magnetic field. Using the Landau–Lifshitz–Gilbert (LLG) formalism, we analyze the response of the system as a function of key parameters, particularly focusing on the effects of magnetic anisotropy and dissipation. Through an extensive numerical exploration, we identify transitions between periodic, quasi-periodic, and chaotic regimes, employing Lyapunov exponents, isospike diagrams, Fourier spectra, and winding number calculations. The results reveal that the anisotropy parameter strongly influences the asymmetry of the dynamical states, leading to distinct behaviors along the easy and hard anisotropy axes. Additionally, at low dissipation, direct transitions between quasi-periodic and chaotic states emerge as a function of the external field, while at higher dissipation, periodic states dominate. The winding number analysis uncovers complex hierarchical structures, including self-similar step-like formations characteristic of the so-called Devil’s staircase phenomenon, along with a granular transition mechanism between quasi-periodic and chaotic states. Furthermore, the role of initial conditions is explored, demonstrating the presence of multistability, where different attractors coexist depending on the initial configuration. These results contribute to a deeper understanding of the nonlinear magnetization dynamics in anisotropic nanoparticles and may serve as a reference for future studies exploring the influence of quasi-periodic behavior in spintronic systems.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108942"},"PeriodicalIF":3.4,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144138636","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

Exponential stability of fractional order impulsive switched system with stable and unstable subsystems 具有稳定和不稳定子系统的分数阶脉冲切换系统的指数稳定性

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-22 DOI: 10.1016/j.cnsns.2025.108940

Qinqin Liao, Danfeng Luo

{"title":"Exponential stability of fractional order impulsive switched system with stable and unstable subsystems","authors":"Qinqin Liao, Danfeng Luo","doi":"10.1016/j.cnsns.2025.108940","DOIUrl":"10.1016/j.cnsns.2025.108940","url":null,"abstract":"<div><div>The exponential stability of the Caputo fractional order impulsive switched system (CFOISS) consisting of stable and unstable subsystems is addressed in this paper. We integrate the multiple Lyapunov function (MLFs) approach, the mode-dependent average dwell time (MDADT) method, and the fast-slow switching concept to handle the switched sequence. In order to better represent the impulse, we further employ the mode-dependent average impulsive interval (MDAII) technique to process the impulsive sequence. The relationship between impulsive intensity, system mode, MDADT and MDAII is successfully established by considering the synchronization and complete asynchronism of impulse and switched time, respectively, and a set of low conservative sufficient conditions is derived. The results show that CFOISS can achieve exponential stability under certain switching rule when the state trajectory can be compensated by the slow switching stable subsystem for the impact of the quick switching unstable subsystem, and the jump of the impulsive point is within a certain range. Finally, the stability of the proposed method is verified by several numerical simulation examples.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108940"},"PeriodicalIF":3.4,"publicationDate":"2025-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144125016","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

QGCD algorithm for solving quaternion equation and its application in color image encryption 求解四元数方程的QGCD算法及其在彩色图像加密中的应用

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-21 DOI: 10.1016/j.cnsns.2025.108943

Manli Wang , Caiqin Song , V.I. Vasil’ev , Gang Wang

引用次数: 0

Analysis on mixed types of waves for an SIR epidemic model with infection–age structure and spatial diffusion 具有感染年龄结构和空间扩散的SIR流行病模型的混合波型分析

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-21 DOI: 10.1016/j.cnsns.2025.108928

Xin Wu , Rong Yuan , Fangyuan Chen

引用次数: 0

Deflation-based certified greedy algorithm and adaptivity for bifurcating nonlinear PDEs 分岔非线性偏微分方程的基于通缩的认证贪婪算法及其自适应性

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-20 DOI: 10.1016/j.cnsns.2025.108941

Federico Pichi , Maria Strazzullo

{"title":"Deflation-based certified greedy algorithm and adaptivity for bifurcating nonlinear PDEs","authors":"Federico Pichi , Maria Strazzullo","doi":"10.1016/j.cnsns.2025.108941","DOIUrl":"10.1016/j.cnsns.2025.108941","url":null,"abstract":"<div><div>This work deals with tailored reduced order models for bifurcating nonlinear parametric partial differential equations, where multiple coexisting solutions arise for a given parametric instance. Approaches based on proper orthogonal decomposition have been widely investigated in the literature, but they usually rely on some <em>a-priori</em> knowledge about the bifurcating model and lack any error estimation. On the other hand, standard certified reduced basis techniques fail to represent correctly the branching behavior, since the error estimator is no longer reliable. The main goal of the contribution is to overcome these limitations by introducing two novel algorithms: (i) the adaptive-greedy, detecting the bifurcation point starting from scarce information over the parametric space, and (ii) the deflated-greedy, certifying multiple coexisting branches simultaneously. The former approach takes advantage of the features of the reduced manifold to detect the bifurcation, while the latter exploits the deflation and continuation methods to discover the bifurcating solutions and enrich the reduced space. We test the two strategies for the Coanda effect held by the Navier–Stokes equations in a sudden-expansion channel. The accuracy of the approach and the error certification are compared with vanilla-greedy and proper orthogonal decomposition.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108941"},"PeriodicalIF":3.4,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144105821","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

High-order mass- and energy-conserving methods for the coupled nonlinear Schrödinger equation 耦合非线性Schrödinger方程的高阶质量和能量节约方法

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-20 DOI: 10.1016/j.cnsns.2025.108944

Pingrui Zhang , Li Xia , Hui Zhang , Xiaoyun Jiang

{"title":"High-order mass- and energy-conserving methods for the coupled nonlinear Schrödinger equation","authors":"Pingrui Zhang , Li Xia , Hui Zhang , Xiaoyun Jiang","doi":"10.1016/j.cnsns.2025.108944","DOIUrl":"10.1016/j.cnsns.2025.108944","url":null,"abstract":"<div><div>A novel high-order numerical method, specifically designed to preserve the mass and energy invariants of the coupled nonlinear Schrödinger equation (CNLS) is introduced. This algorithm integrates Gauss collocation schemes for temporal discretization with finite element methods for spatial discretization, enhanced by a post-processing correction procedure that ensures mass and energy conservation at each time step. The theoretical framework for the proposed method rigorously establishes the existence, uniqueness, and high-order convergence of the numerical solutions. In particular, the error of our proposed scheme is proven to converge at the rate of <span><math><mrow><mi>O</mi><mrow><mo>(</mo><msup><mrow><mi>τ</mi></mrow><mrow><mi>k</mi><mo>+</mo><mn>1</mn></mrow></msup><mo>+</mo><msup><mrow><mi>h</mi></mrow><mrow><mi>p</mi></mrow></msup><mo>)</mo></mrow></mrow></math></span> in the <span><math><mrow><msup><mrow><mi>L</mi></mrow><mrow><mi>∞</mi></mrow></msup><mrow><mo>(</mo><mn>0</mn><mo>,</mo><mi>T</mi><mo>;</mo><msup><mrow><mi>H</mi></mrow><mrow><mn>1</mn></mrow></msup><mo>)</mo></mrow></mrow></math></span>-norm, where <span><math><mi>τ</mi></math></span> and <span><math><mi>h</mi></math></span> denote the temporal and spatial step sizes, respectively, and <span><math><mi>k</mi></math></span> and <span><math><mi>p</mi></math></span> represent the degrees of the temporal and spatial finite element approximations, which can be arbitrarily high. The error analysis explicitly accounts for the cumulative effects of the post-processing correction across all time levels. A series of numerical experiments are presented to validate the proposed method, demonstrating its capacity to conserve mass and energy precisely, achieve high-order accuracy, and accurately capture soliton, bi-soliton and plane wave dynamics.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108944"},"PeriodicalIF":3.4,"publicationDate":"2025-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144115293","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

DDoS attack on wireless cyber–physical systems: A Stackelberg game approach 无线网络物理系统的DDoS攻击：Stackelberg游戏方法

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-19 DOI: 10.1016/j.cnsns.2025.108945

Lianghong Peng, Youwen Yi, Zhijian Ji

引用次数: 0

An adaptive optimal selection approach of the Mixture-of-Experts model embedded with PINNs for one-dimensional hyperbolic conservation laws 一维双曲型守恒律嵌入pin的混合专家模型自适应优化选择方法

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-19 DOI: 10.1016/j.cnsns.2025.108936

Jiaqian Dan, Jiebao Sun, Jia Li, Shengzhu Shi

{"title":"An adaptive optimal selection approach of the Mixture-of-Experts model embedded with PINNs for one-dimensional hyperbolic conservation laws","authors":"Jiaqian Dan, Jiebao Sun, Jia Li, Shengzhu Shi","doi":"10.1016/j.cnsns.2025.108936","DOIUrl":"10.1016/j.cnsns.2025.108936","url":null,"abstract":"<div><div>In this paper, we propose a method of the mixture-of-experts (MoE) model embedded with physics-informed neural networks (PINNs) for the hyperbolic conservation laws. The issue on solving hyperbolic conservation laws with PINNs is still challenging since the solutions of conservation laws may contain discontinuities. PINNs, as functional approximators, nearly fail in such cases, and numerical solutions for its variants may suffer from various problems. Some specially designed variants of PINNs can be well applied to specific hyperbolic equations, but these models usually pay less attention to the generalization capability, and improvement can be made in computing efficiency. In view of this, we propose the adaptive algorithm that embeds PINNs with different strategies into the MoE model, which the algorithm selects “experts of PINNs” through a gating network, choosing the optimal strategy that every “expert” shows its expertise for different structures of the solution. We prove that the generalization error of the proposed model is not higher than that of any single expert, and the bounds for generalization error are also obtained. The numerical experiment results demonstrate the validity of our model and confirm the algorithm’s generalization capability that it is fully adaptable for different equations.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"149 ","pages":"Article 108936"},"PeriodicalIF":3.4,"publicationDate":"2025-05-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144105113","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 set-valued stochastic differential equations: Existence, uniqueness and averaging principle 混合集值随机微分方程：存在性、唯一性及平均原理

IF 3.4 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-05-19 DOI: 10.1016/j.cnsns.2025.108935

Peiguang Wang , Beibei Li , Hairong Lian

引用次数: 0