Clusters of synchronization and bistability in lattices of chaotic neurons

Abstract

. -- We investigated di#erent regimes of synchronization in large lattices of chaotic spiking-bursting neurons. The lattices exhibit the following features: developed spatio-temporal disorder with no synchronization; spatial clusters of bursting synchronization; homogeneous bursting synchronization; and complete chaotic synchronization. We observed a bistable synchronization phenomenon in a wide region of the control parameter space. The bistability exists for homogeneous bursting synchronization with long-range correlation and spatial clusters of partial synchronization. The bistable regime appears in lattices with a size larger than the space-scale of these clusters. Introduction. -- The analysis of the behavior of large assemblies of chaotic elements has been the subject of recent investigations, and is of interest both from the fundamental [1-5] and modeling points of view [6-9]. In particular, a network of chaotic elements is currently a very popular ingredient of information pro...