Communications in Nonlinear Science and Numerical Simulation最新文献_第2页

Enhanced Weak Signal Detection via Synchronization of Symmetrically Coupled Fractional-Order Stochastic Resonance Systems 基于对称耦合分数阶随机共振系统同步的增强弱信号检测

IF 3.9 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-10-01 DOI: 10.1016/j.cnsns.2026.110946

Lin He,Gang Zhang,Yuxin Dai,Lianbing Xu,Xiaoxiao Huang

引用次数: 0

Dynamics of a Stochastic Reaction-Diffusion SIR Model Driven by Spatially Structured Noise 空间结构噪声驱动下随机反应扩散SIR模型动力学

IF 3.9 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-10-01 DOI: 10.1016/j.cnsns.2026.110950

Wei You,Li Yang,Zhanwen Yang,Shengqiang Liu

引用次数: 0

Time-semidiscrete stabilized integrating factor Runge–Kutta methods for matrix-valued Allen–Cahn equations 矩阵值Allen-Cahn方程的时-半离散稳定积分因子龙格-库塔方法

IF 3.9 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-10-01 DOI: 10.1016/j.cnsns.2026.110952

Chengxin Pan,Yaru Liu,Yiqi Gu

引用次数: 0

Almost-Sure Lyapunov Stability of PSO-Based Social Consensus on the Neutrosophic Simplex via Doob Supermartingales 嗜中性单纯形上基于pso的社会共识的几乎肯定Lyapunov稳定性

IF 3.9 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-09-28 DOI: 10.1016/j.cnsns.2026.110880

Bayram Arda KUŞ

{"title":"Almost-Sure Lyapunov Stability of PSO-Based Social Consensus on the Neutrosophic Simplex via Doob Supermartingales","authors":"Bayram Arda KUŞ","doi":"10.1016/j.cnsns.2026.110880","DOIUrl":"https://doi.org/10.1016/j.cnsns.2026.110880","url":null,"abstract":"Almost-sure Lyapunov stability is established for Particle Swarm Optimization (PSO) acting as a distributed social consensus protocol on the neutrosophic 2-simplex Δ². The system is modelled as a stochastic hybrid system H = (C, f, D, g) with a PSO flow (Mode 1) and anti-stagnation escape resets (Mode 2). With the Lyapunov candidate V(t) = 1 − (1/N)ΣᵢΨᵢ(t), Ψᵢ = (1−Fᵢ)(1−Iᵢ) being the epistemic reliability of agent i, three results are proved. Lemma 1 gives an explicit reliability-separation bound <ce:italic>ε<ce:inf loc=\"post\">gap</ce:inf></ce:italic> = <ce:italic>L<ce:inf loc=\"post\">Ψ</ce:inf></ce:italic> · <ce:italic>D<ce:inf loc=\"post\">net,min</ce:inf></ce:italic> > 0. Theorem 2 establishes E[V(t⁺)|ℱt⁻] ≤ V(t⁻) at every escape step size, once the escape is clipped at the chord joining the stagnating agent to the reliability-weighted centroid. Theorem 3 proves V(t,j) → 0 almost surely over the hybrid time domain via Doob's non-negative supermartingale convergence theorem, the first almost-sure result for a hybrid social consensus protocol on the neutrosophic simplex, as far as the literature indicates. Proposition 3 derives tₛ ∝ 1/(1−Ī)², linking settling time to corpus mean indeterminacy Ī. Validation on six corpora (n = 17,662; health, politics, science denial, social movements) over 180 Monte Carlo runs yields V(T) = 0 in every run, tₛ = 5.4 ± 0.3, and one deviation of magnitude 3×10⁻⁴ across 25,000 hybrid transitions. Hegselmann–Krause, DeGroot and Friedkin–Johnsen all plateau above <mml:math altimg=\"si9.svg\"><mml:msub><mml:mi>V</mml:mi><mml:mi>∞</mml:mi></mml:msub></mml:math><ce:italic>≥ 0.584</ce:italic> (paired t-test p < 10⁻¹⁰, Cohen's d > 14). The framework suggests a reusable proof template for stochastic hybrid consensus protocols.","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"34 1","pages":""},"PeriodicalIF":3.9,"publicationDate":"2026-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"149085149","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

Dynamics of Schr....dinger lattice system with nonlocal nonlinearity Schr动力学....具有非局部非线性的Dinger格系统

IF 3.9 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-09-01 DOI: 10.1016/j.cnsns.2026.110826

Ming Cheng,Dirk Hennig,Lingyao Meng

引用次数: 0

A novel deep neural network with the dynamical moving window data for nonlinear system identification 一种新的具有动态移动窗口数据的非线性系统辨识深度神经网络

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.2026.109670

Yanjiao Wang, Zhaogui Cai, Muqing Deng

引用次数: 0

Vanishing, balancing and spreading for an impulsive faecal-oral model 消失，平衡和扩散的冲动粪-口模型

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.2026.109814

Qi Zhou , Zhigui Lin , Carlos Alberto Santos

引用次数: 0

Dynamics of fear effect on a stochastic tritrophic level food chain model with Markov switching 具有马尔可夫切换的随机三营养水平食物链模型的恐惧效应动力学

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.2026.109798

Yuanyuan Liu, Seifu Neda Tereda, Zhexin Wen

引用次数: 0

Chaos control and stabilization of a hybrid chaotic oscillator through deterministic and stochastic resets 基于确定性和随机重置的混合混沌振荡器混沌控制与镇定

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.2026.109796

Ulises Chialva , Walter Reartes

{"title":"Chaos control and stabilization of a hybrid chaotic oscillator through deterministic and stochastic resets","authors":"Ulises Chialva , Walter Reartes","doi":"10.1016/j.cnsns.2026.109796","DOIUrl":"10.1016/j.cnsns.2026.109796","url":null,"abstract":"<div><div>We study the control of chaotic dynamics in the hybrid Nakano-Saito oscillator through periodic resetting schemes. In contrast to most existing approaches, which rely on Lyapunov-based constructions or optimization-driven control strategies, we focus on the underlying dynamical mechanisms responsible for the emergence of controlled and uncontrolled regimes. By analyzing the associated impact (return) map, we identify well-defined control windows that give rise to stable periodic solutions and investigate their dependence on the ratio <em>γ</em> between the oscillator’s natural frequency and the control frequency. We provide an analytical proof for the existence of a limit cycle and use this result to characterize the main control windows of the system, revealing distinct bifurcation phenomena that enable different regimes of chaos control within this canonical hybrid framework. Finally, we examine a stochastic resetting protocol governed by an inverse Gaussian distribution and show that it can outperform deterministic control schemes subject to timing jitter, achieving enhanced stabilization. These results demonstrate that classical dynamical systems tools are sufficient to derive precise control conditions and to assess control effectiveness even in stochastic hybrid settings.</div></div>","PeriodicalId":50658,"journal":{"name":"Communications in Nonlinear Science and Numerical Simulation","volume":"158 ","pages":"Article 109796"},"PeriodicalIF":3.8,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146071595","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 and box-counting dimension of the Edelstein hidden variable fractal interpolation function Edelstein隐变量分形插值函数的构造与盒维数

IF 3.8 2区数学

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2026-07-01 Epub Date: 2026-01-24 DOI: 10.1016/j.cnsns.2026.109790

Aiswarya Thekkeettil, Srijanani Anurag Prasad

引用次数: 0