Collective dynamics in coupled maps on a lattice with quenched disorder

TL;DR

This paper explores how quenched disorder in coupling affects the collective dynamics of coupled map lattices, showing that even minimal disorder can significantly alter system behavior across different nonlinear maps.

Contribution

It introduces a study of quenched disorder effects on coupled map lattices using two paradigmatic maps, revealing the impact of disorder on collective dynamics.

Findings

Small disorder can significantly change the dynamics.

Disorder influences the transition between different collective behaviors.

Different maps respond uniquely to the same disorder level.

Abstract

It is investigated how a spatial quenched disorder modifies the dynamics of coupled map lattices. The disorder is introduced via the presence or absence of coupling terms among lattice sites. Two nonlinear maps have been considered embodying two paradigmatic dynamics. The Miller and Huse map can be associated with an Ising-like dynamics, whereas the logistic coupled maps is a prototype of a non trivial collective dynamics. Various indicators quantifying the overall behavior, demonstrates that even a small amount of spatial disorder is capable to alter the dynamics found for purely ordered cases.