On-off intermittency over an extended range of control parameter

TL;DR

This paper introduces a phenomenological model demonstrating on-off intermittency across a broad control parameter range, revealing a variable power-law distribution of 'off' periods, unlike standard models.

Contribution

The study presents a simple model showing extended on-off intermittency with a continuously varying power-law exponent, contrasting with traditional fixed-exponent behavior.

Findings

'Off' period distribution follows a power-law with variable exponent

The exponent ranges between -1 and -2, not fixed at -3/2

Intermittency persists over an extended control parameter range

Abstract

We propose a simple phenomenological model exhibiting on-off intermittency over an extended range of control parameter. We find that the distribution of the 'off' periods has as a power-law tail with an exponent varying continuously between -1 and -2, at odds with standard on-off intermittency which occurs at a specific value of the control parameter, and leads to the exponent -3/2. This non-trivial behavior results from the competition between a strong slowing down of the dynamics at small values of the observable, and a systematic drift toward large values.