Exponentially long transient time to synchronization of coupled chaotic circle maps in dense random networks
arXiv:2307.01606 · doi:10.3390/e25070983
Abstract
We study the transition to synchronization in large, dense networks of chaotic circle maps, where an exact solution of the mean-field dynamics in the infinite network and all-to-all coupling limit is known. In dense networks of finite size and link probability of smaller than one, the incoherent state is meta-stable for coupling strengths that are larger than the mean-field critical coupling. We observe chaotic transients with exponentially distributed escape times and study the scaling behavior of the mean time to synchronization.
References in corpus (7)
- Low Dimensional Behavior of Large Systems of Globally Coupled Oscillators
- Macroscopic description for networks of spiking neurons
- Coupling functions: Universal insights into dynamical interaction mechanisms
- Chimera states in heterogeneous networks
- Partially Locked States in Coupled Oscillators due to Inhomogeneous Coupling
- Collective dynamics in sparse networks
- Finite-size-induced transitions to synchrony in oscillator ensembles with nonlinear global coupling