Irregular collective dynamics in a Kuramoto–Daido system

Pau Clusella; Antonio Politi

doi:10.1088/2632-072X/abd3af

Irregular collective dynamics in a Kuramoto–Daido system

Pau Clusella^* (Corresponding Author), Antonio Politi

^*Corresponding author for this work

Polytechnic University of Catalonia

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5 Citations (Scopus)

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Abstract

We analyze the collective behavior of a mean-field model of phase-oscillators of Kuramoto–Daido type coupled through pairwise interactions which depend on phase differences: the coupling function is composed of three harmonics. We provide convincing evidence of a transient but long-lasting chaotic collective chaos, which persists in the thermodynamic limit. The regime is analyzed with the help of clever direct numerical simulations, by determining the maximum Lyapunov exponent and assessing the transversal stability to the self-consistent mean field. The structure of the invariant measure is finally described in terms of a resolution-dependent entropy.

Original language	English
Article number	014002
Number of pages	14
Journal	Journal of Physics: Complexity
Volume	2
Issue number	1
Early online date	29 Dec 2020
DOIs	https://doi.org/10.1088/2632-072X/abd3af
Publication status	Published - Mar 2021

Bibliographical note

Acknowledgments:
P C acknowledges financial support from the Spanish MINECO Project No. FIS2016-76830-C2-1-P.

Keywords

collective chaos
phase oscillators
Transient dynamics
Collective chaos
Phase oscillators

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Cite this

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title = "Irregular collective dynamics in a Kuramoto–Daido system",

abstract = "We analyze the collective behavior of a mean-field model of phase-oscillators of Kuramoto–Daido type coupled through pairwise interactions which depend on phase differences: the coupling function is composed of three harmonics. We provide convincing evidence of a transient but long-lasting chaotic collective chaos, which persists in the thermodynamic limit. The regime is analyzed with the help of clever direct numerical simulations, by determining the maximum Lyapunov exponent and assessing the transversal stability to the self-consistent mean field. The structure of the invariant measure is finally described in terms of a resolution-dependent entropy.",

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author = "Pau Clusella and Antonio Politi",

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AU - Politi, Antonio

N1 - Acknowledgments: P C acknowledges financial support from the Spanish MINECO Project No. FIS2016-76830-C2-1-P.

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N2 - We analyze the collective behavior of a mean-field model of phase-oscillators of Kuramoto–Daido type coupled through pairwise interactions which depend on phase differences: the coupling function is composed of three harmonics. We provide convincing evidence of a transient but long-lasting chaotic collective chaos, which persists in the thermodynamic limit. The regime is analyzed with the help of clever direct numerical simulations, by determining the maximum Lyapunov exponent and assessing the transversal stability to the self-consistent mean field. The structure of the invariant measure is finally described in terms of a resolution-dependent entropy.

AB - We analyze the collective behavior of a mean-field model of phase-oscillators of Kuramoto–Daido type coupled through pairwise interactions which depend on phase differences: the coupling function is composed of three harmonics. We provide convincing evidence of a transient but long-lasting chaotic collective chaos, which persists in the thermodynamic limit. The regime is analyzed with the help of clever direct numerical simulations, by determining the maximum Lyapunov exponent and assessing the transversal stability to the self-consistent mean field. The structure of the invariant measure is finally described in terms of a resolution-dependent entropy.

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KW - Transient dynamics

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JF - Journal of Physics: Complexity

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ER -

Irregular collective dynamics in a Kuramoto–Daido system

Abstract

Bibliographical note

Keywords

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