Remote synchronization induced by external signals in star networks

IF 5.3 1区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
Siyu Huo , Nan Yao , Zi-Gang Huang , Zonghua Liu
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引用次数: 0

Abstract

Remote synchronization (RS) is an emerging focus in nonlinear dynamics and complex networks, as it provides insights into how functional connections in the brain arise from its structural network. While previous studies have extensively explored RS under intrinsic coupling conditions, the combined influence of external stimuli and coupling strength, a critical factor in real-world systems, remains unexplored. In this study, we investigate RS in a star network of coupled Stuart–Landau oscillators, a simplified model of hierarchical brain structures, under varying external stimuli and coupling strengths. Using numerical simulations and theoretical analysis, we identify two distinct mechanisms driving RS: direct resonance between external stimuli and leaf nodes, and hub-mediated synchronization facilitated by resonance between the hub node and the stimuli. We further reveal that RS occurs within specific coupling strength ranges and is maximized when the stimulus frequency aligns with the natural frequencies of either the hub or leaf nodes. These results emphasize the delicate interplay between coupling strength and external perturbations in shaping RS, providing a theoretical framework for understanding the mechanisms of RS emergence under external stimuli.
星型网络中外部信号诱导的远程同步
远程同步(RS)是非线性动力学和复杂网络中的一个新兴焦点,因为它提供了对大脑结构网络中功能连接如何产生的见解。虽然以前的研究已经广泛地探讨了内禀耦合条件下的RS,但外部刺激和耦合强度(现实系统中的一个关键因素)的综合影响尚未得到探索。在这项研究中,我们研究了在不同的外部刺激和耦合强度下,斯图尔特-朗道耦合振荡星形网络中的RS,这是一种简化的分层大脑结构模型。通过数值模拟和理论分析,我们确定了两种不同的驱动RS的机制:外部刺激与叶片节点之间的直接共振,以及轮毂节点与刺激之间的共振促进的轮毂介导的同步。我们进一步发现,RS发生在特定的耦合强度范围内,当刺激频率与轮毂或叶片节点的固有频率一致时,RS达到最大。这些结果强调了形成RS的耦合强度和外部扰动之间微妙的相互作用,为理解外部刺激下RS出现的机制提供了理论框架。
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来源期刊
Chaos Solitons & Fractals
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.
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