Nontrivial Twisted States in Nonlocally Coupled Stuart-Landau Oscillators

Lee, Seungjae; Krischer, Katharina

doi:10.48550/arxiv.2209.08352

2022

DOI: 10.48550/arxiv.2209.08352

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Nontrivial Twisted States in Nonlocally Coupled Stuart-Landau Oscillators

Seungjae Lee¹,

Katharina Krischer²

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“…When the value of K is small, the system still goes to the synchronous state as when the number of oscillators is N = 3. With the increase of the value of K, the coupled-phase oscillator system presents a chimera state and then a twisted state [44][45][46][47][48]. In addition, we also introduced the average frequency the periodic variation of the instantaneous frequency of any oscillator in the twisted state, while fig.…”

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Turing patterns on coupled phase oscillator chains with localized many-body interactions

Luo

Xue

Huang

et al. 2023

EPL

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This document describes the epl2 document class, used to typeset papers for EPL, the journal jointly published by Societ`a Italiana di Fisica, Italy, EDP Sciences, France, IOP Publishing, UK, under the scientiﬁc control of the European Physical Society.In this paper, coupled-phase oscillator chains with localized three-body interactions are studied. Systems have rich patterns such as chimera and twisted states. The coupled-phase oscillator chains have long-range two-body interactions and short-range three-body interactions, which respectively play the role of long-range inhibition of short-range activation, just like inhibitors and activators in traditional reaction-diffusion systems. The role of three -body interaction in the system is studied through the Turing pattern diagram and the critical point of Turing instability is obtained. When Turing instability occurs, system approaches to twisted states and chimera states. The study indicates that long-range inhibition and short-range activation give an explanation for the formation of such coherent-incoherent modes such as chimera states, and that three-body interactions are good candidates as activators of the system. Our study can be applied to many-body interacting systems.

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confidence: 99%

Turing patterns on coupled phase oscillator chains with localized many-body interactions

Luo

Xue

Huang

et al. 2023

EPL

View full text Add to dashboard Cite

show abstract

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Nontrivial Twisted States in Nonlocally Coupled Stuart-Landau Oscillators

Cited by 1 publication

References 36 publications

Turing patterns on coupled phase oscillator chains with localized many-body interactions

Turing patterns on coupled phase oscillator chains with localized many-body interactions

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