Irregular collective dynamics in a Kuramoto–Daido system

Pau Clusella* (Corresponding Author), Antonio Politi

*Corresponding author for this work

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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 languageEnglish
Article number014002
Number of pages14
JournalJournal of Physics: Complexity
Issue number1
Early online date29 Dec 2020
Publication statusPublished - Mar 2021

Bibliographical note

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


  • collective chaos
  • phase oscillators
  • Transient dynamics
  • Collective chaos
  • Phase oscillators


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