Globally coupled chaotic maps with bistable behaviour: Large deviations

TL;DR

This paper investigates large deviations in globally coupled chaotic maps with bistable behavior by linking the rate function at finite size to the properties of a self-consistent Perron-Frobenius operator.

Contribution

It introduces a novel connection between large deviation rate functions and the dynamical properties of the SCPFO in coupled chaotic systems.

Findings

Established a relationship between large deviations and SCPFO properties

Provided insights into the finite-size effects in coupled chaotic maps

Enhanced understanding of bistable behavior in large systems

Abstract

For a system of globally coupled chaotic maps with bistable behaviour we relate the rate function for large deviations in the system size at finite time to dynamical properties of the self consistent Perron-Frobenius operator (SCPFO) that describes the system in the infinite size limit.