2020/10/24 by Pau Clusella, Antonio Politi
Physics and Astronomy · #nlin.CD #nlin.AO
paper · pdf · doi:10.1088/2632-072x/abd3af
arxiv created 2020/10/24 · arxiv updated 2021/01/05
We analyse 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 analysed 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.