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

2018/01/29 by Г. А. Леонов, G. A. Leonov, Leonov, G. A. +3
Engineering · Mathematics · Neuroscience · Physics and Astronomy · #Advanced Memory and Neural Computing #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Neural dynamics and brain function #math.DS #nlin.CD #stochastic dynamics and bifurcation

paper · pdf · doi:10.48550/arxiv.1801.09679

arxiv created 2018/01/29 · openalex publication_date 2018/01/29 · arxiv updated 2018/01/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Symmetric coexisting attractors in a novel memristors-based Chua's chaotic system
• Entropy of Chaotic Oscillations of Currents in the Chua Circuit and its HMM Analysis
• Implementation of Chua's chaotic oscillator with an HP memristor
• Memristor Circuits for Simulating Nonlinear Dynamics and Their Periodic Forcing
• A memristive conservative chaotic circuit consisting of a memristor and a capacitor