Analysis of the Time Structure of Synchronization in Multidimensional Chaotic Systems

TL;DR

This paper introduces a novel method for analyzing the time structure of synchronization in multidimensional chaotic systems, enabling detailed diagnosis and quantification of intermittency during synchronization.

Contribution

It presents a new approach that considers both synchronization and desynchronization areas, improving the analysis of chaotic oscillations in coupled systems.

Findings

The method effectively diagnoses intermittency in synchronization.

Application to logistic mappings demonstrates the approach's utility.

Highlights limitations of previous methods that ignore desynchronization areas.

Abstract

A new approach is proposed to the integrated analysis of the time structure of synchronization of multidimensional chaotic systems. The method allows one to diagnose and quantitatively evaluate the intermittency characteristics during synchronization of chaotic oscillations in the T-synchronization mode. A system of two identical logistic mappings with unidirectional coupling that operate in the developed chaos regime is analyzed. It is shown that the widely used approach, in which only synchronization patterns are subjected to analysis while desynchronization areas are considered as a background signal and removed from analysis, should be considered as methodologically incomplete.