Bistability and Synchronization in Coupled Maps Models

TL;DR

This paper reviews coupled maps models demonstrating bistability and synchronization phenomena, including new results on models with various network topologies, highlighting complex interactions in symbiotic systems.

Contribution

It introduces and analyzes coupled maps models with different interaction structures, providing new insights into their bistability and synchronization behaviors across network topologies.

Findings

Bistability observed in symbiotic coupled maps.

Synchronization phenomena identified in various network models.

New results on topology-dependent behaviors of coupled maps.

Abstract

Several coupled maps models are sketched and reviewed in this short communication. First, a discrete logistic type model that was proposed for the symbiotic interaction of two species. Second, a model of many of these symbiotic species evolving together under the coupling action of a global mean field. Third, a similar model with many of these species interacting in a symbiotic way with the nearest neighboring species in different kind of networks. The phenomena of bistability and synchronization is discussed in these models. Finally, some new results concerning the last model embedded in different topologies will be presented.