Characterization of the stretched exponential trap-time distributions in one-dimensional coupled map lattices

TL;DR

This paper investigates the emergence of stretched exponential trap-time distributions in a one-dimensional coupled map lattice model of chaotic oscillators, linking theoretical analysis with experimental observations.

Contribution

It identifies the key factors leading to stretched exponential distributions in coupled chaotic systems, bridging theory and experimental results.

Findings

Stretched exponential trap-time distributions are reproduced in the model.

Necessary ingredients for these distributions are identified.

The model aligns with experimental data from coupled diode-resonators.

Abstract

Stretched exponential distributions and relaxation responses are encountered in a wide range of physical systems such as glasses, polymers and spin glasses. As found recently, this type of behavior occurs also for the distribution function of certain trap time in a number of coupled dynamical systems. We analyze a one-dimensional mathematical model of coupled chaotic oscillators which reproduces an experimental set-up of coupled diode-resonators and identify the necessary ingredients for stretched exponential distributions.