Irregular collective dynamics in a Kuramoto-Daido system
arXiv:2010.12801 · doi:10.1088/2632-072X/abd3af
Abstract
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.
References in corpus (16)
- Chimera States for Coupled Oscillators
- Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
- Macroscopic description for networks of spiking neurons
- Collective chaos in pulse-coupled neural networks
- Cluster Synchrony in Systems of Coupled Phase Oscillators with Higher-Order Coupling
- Collective behavior of heterogeneous neural networks
- From quasiperiodic partial synchronization to collective chaos in populations of inhibitory neurons with delay
- Chaos in Symmetric Phase Oscillator Networks
- Dynamics of a large system of spiking neurons with synaptic delay
- Chaos in Kuramoto oscillator networks
- Noiseless Collective Motion out of Noisy Chaos
- Low-Dimensional Dynamics for Higher Order Harmonic Globally Coupled Phase Oscillator Ensemble
- A minimal model of partial synchrony
- Collective Lyapunov modes
- From phase to amplitude oscillators
- Noise-induced stabilization of collective dynamics