Mechanism of solitary state appearance in an ensemble of nonlocally coupled Lozi maps

TL;DR

This paper investigates how nonlocal coupling in chaotic Lozi maps leads to solitary states, revealing multistability and the formation of two distinct attractors with different basins of attraction.

Contribution

It provides a detailed analysis of the mechanisms behind solitary state emergence in nonlocally coupled chaotic maps, highlighting the role of multistability and basin structures.

Findings

Solitary states arise due to multistability in the system.

Two attractive sets with different basins of attraction are identified.

Basin structures depend on coupling parameters.

Abstract

We study the peculiarities of the solitary state appearance in the ensemble of nonlocally coupled chaotic maps. We show that nonlocal coupling and features of the partial elements lead to arising of multistability in the system. The existence of solitary state is caused by formation of two attractive sets with different basins of attraction. Their basins are analysed depending on coupling parameters.