Synchronization resilience of coupled fluctuating-damping oscillators in small-world weighted complex networks

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2024-11-20 DOI:10.1016/j.chaos.2024.115751

Ruoqi Zhang , Lifeng Lin , Huiqi Wang

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引用次数: 0

Abstract

The mechanisms of synergy in complex networks have garnered significant attention across scientific disciplines. In this paper, we present a model of coupled oscillators with damping fluctuations within a small-world weighted complex network. We analyze the system’s asymptotic synchronization to derive conditions for asymptotic stability and evaluate the steady-state response. Our numerical simulations highlight the substantial impact of network weight heterogeneity and scale on asymptotic synchronization. We also examine asymptotic synchronization resilience under various removal strategies, revealing that increased noise intensity and lower switching rates reduce resilience. Notably, the removal of strong links poses the greatest vulnerability, while weak links have minimal impact. Interestingly, enhancing weight heterogeneity and scale can improve resilience in certain cases. Our results further show that heterogeneity accelerates synchronization speed, indicating a non-monotonic relationship with network scale. Ultimately, we confirm our theoretical findings and reveal intriguing generalized stochastic resonance (GSR) phenomena.

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小世界加权复杂网络中耦合波动阻尼振荡器的同步恢复能力

复杂网络中的协同机制已引起各科学学科的极大关注。在本文中，我们提出了一个在小世界加权复杂网络中具有阻尼波动的耦合振荡器模型。我们分析了系统的渐近同步性，推导出渐近稳定性的条件，并评估了稳态响应。我们的数值模拟凸显了网络权重异质性和规模对渐近同步的重大影响。我们还研究了各种移除策略下的渐进同步恢复力，发现噪声强度的增加和开关率的降低会降低恢复力。值得注意的是，强链接的移除造成了最大的脆弱性，而弱链接的影响则微乎其微。有趣的是，在某些情况下，增强权重异质性和规模可以提高恢复能力。我们的研究结果进一步表明，异质性会加快同步速度，这表明网络规模与异质性之间存在非单调关系。最终，我们证实了我们的理论发现，并揭示了有趣的广义随机共振（GSR）现象。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.