One-dimensional asymmetrically coupled maps with defects

TL;DR

This paper investigates how defects in a one-dimensional chain of asymmetrically coupled maps influence chaos, revealing localized chaos around defects and random tangent vector jumps, with quantification via an entropy-like measure.

Contribution

It introduces a novel analysis of defect-induced localization of chaos and tangent vector dynamics in asymmetrically coupled maps.

Findings

Chaos is localized around defects.

Tangent vectors jump randomly between defects.

An entropy-like measure quantifies localization.

Abstract

In this letter we study chaotic dynamical properties of an asymmetrically coupled one-dimensional chain of maps. We discuss the existence of coherent regions in terms of the presence of defects along the chain. We find out that temporal chaos is instantaneously localized around one single defect and that the tangent vector jumps from one defect to another in an apparently random way. We quantitatively measure the localization properties by defining an entropy-like function in the space of tangent vectors.