Metastability of multi-population Kuramoto-Sakaguchi oscillators.

IF 2.7 2区 数学 Q1 MATHEMATICS, APPLIED
Chaos Pub Date : 2025-01-01 DOI:10.1063/5.0220321
Bojun Li, Nariya Uchida
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引用次数: 0

Abstract

An Ott-Antonsen reduced M-population of Kuramoto-Sakaguchi oscillators is investigated, focusing on the influence of the phase-lag parameter α on the collective dynamics. For oscillator populations coupled on a ring, we obtained a wide variety of spatiotemporal patterns, including coherent states, traveling waves, partially synchronized states, modulated states, and incoherent states. Back-and-forth transitions between these states are found, which suggest metastability. Linear stability analysis reveals the stable regions of coherent states with different winding numbers q. Within certain α ranges, the system settles into stable traveling wave solutions despite the coherent states also being linearly stable. For around α≈0.46π, the system displays the most frequent metastable transitions between coherent states and partially synchronized states, while for α closer to π/2, metastable transitions arise between partially synchronized states and modulated states. This model captures metastable dynamics akin to brain activity, offering insights into the synchronization of brain networks.

多种群Kuramoto-Sakaguchi振荡子的亚稳态。
研究了一种Ott-Antonsen约简m -种群的Kuramoto-Sakaguchi振子,重点研究了相位滞后参数α对集体动力学的影响。对于耦合在环上的振子种群,我们获得了各种各样的时空模式,包括相干态、行波、部分同步态、调制态和非相干态。在这些状态之间发现了来回跃迁,这表明亚稳态。线性稳定性分析揭示了不同圈数q的相干态的稳定区域。在一定的α范围内,尽管相干态也是线性稳定的,系统仍稳定在行波解中。当α≈0.46π时,系统在相干态和部分同步态之间发生亚稳跃迁,而当α更接近π/2时,系统在部分同步态和调制态之间发生亚稳跃迁。这个模型捕获了类似于大脑活动的亚稳态动力学,为大脑网络的同步提供了见解。
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
Chaos 物理-物理:数学物理
CiteScore
5.20
自引率
13.80%
发文量
448
审稿时长
2.3 months
期刊介绍: Chaos: An Interdisciplinary Journal of Nonlinear Science is a peer-reviewed journal devoted to increasing the understanding of nonlinear phenomena and describing the manifestations in a manner comprehensible to researchers from a broad spectrum of disciplines.
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