Measure of Synchronism of Multidimensional Chaotic Sequences Based on Their Symbolic Representation in a T-Alphabet

TL;DR

This paper introduces a symbolic analysis method in velocity-curvature space to measure synchronization in multidimensional chaotic sequences, revealing attractor structure changes and intermittency in coupled oscillators.

Contribution

It presents a novel symbolic approach for analyzing synchronization in multidimensional chaotic systems, enhancing detection of attractor structure changes and intermittency.

Findings

Method successfully applied to Lorentz system

Revealed specific attractor structure changes

Confirmed effectiveness of the symbolic analyzer

Abstract

A new approach to analysis of the synchronization of chaotic oscillations in two (or more) coupled oscillators is described that makes it possible to reveal changes in the structure of attractors and detect the appearance of intermittency. The proposed method is based on a symbolic analysis developed previously in the velocity-curvature space of multidimensional sequences and maps. The method is tested by application to a Lorentz system. The results confirm the informativity of the analyzer and reveal specific features of changes in the structure of an attractor of the three-component test system.