The Lyapunov dimension, convergency and entropy for a dynamical model of Chua memristor circuit

TL;DR

This paper analytically investigates the Lyapunov dimension, convergence, and entropy of a dynamical model of the Chua memristor circuit to better understand its chaotic behavior.

Contribution

It introduces an analytical method to study Lyapunov dimension, convergence, and entropy in the Chua memristor circuit model, advancing theoretical understanding.

Findings

Analytical expressions for Lyapunov dimension derived

Insights into chaotic attractor properties obtained

Enhanced understanding of memristor circuit dynamics

Abstract

For the study of chaotic dynamics and dimension of attractors the concepts of the Lyapunov exponents was found useful and became widely spread. Such characteristics of chaotic behavior, as the Lyapunov dimension and the entropy rate, can be estimated via the Lyapunov exponents. In this work an analytical approach to the study of the Lyapunov dimension, convergency and entropy for a dynamical model of Chua memristor circuit is demonstrated.