Noise-induced macroscopic bifurcations in globally-coupled chaotic units

TL;DR

This paper investigates how independent noise influences the collective behavior of large populations of globally-coupled chaotic units, revealing noise-induced bifurcations and deriving effective macroscopic dynamics.

Contribution

It introduces a systematic derivation of macroscopic equations for noisy coupled maps, highlighting noise-induced bifurcations in collective dynamics.

Findings

Strong coupling leads to simplified macroscopic descriptions.

Noise can induce qualitative changes in collective behavior.

Effective equations capture bifurcation phenomena.

Abstract

Large populations of globally-coupled identical maps subjected to independent additive noise are shown to undergo qualitative changes as the features of the stochastic process are varied. We show that for strong coupling, the collective dynamics can be described in terms of a few effective macroscopic degrees of freedom, whose deterministic equations of motion are systematically derived through an order parameter expansion.