6533b86cfe1ef96bd12c80bd

RESEARCH PRODUCT

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

G. A. LeonovN. V. Kuznetsov

subject

Nonlinear Sciences::Chaotic DynamicsMathematics::Dynamical SystemsComputer Science::Systems and ControlFOS: MathematicsFOS: Physical sciencesDynamical Systems (math.DS)Mathematics - Dynamical SystemsChaotic Dynamics (nlin.CD)Nonlinear Sciences - Chaotic Dynamics

description

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.

yearjournalcountryeditionlanguage
2018-01-29
https://dx.doi.org/10.48550/arxiv.1801.09679