CHARACTERISATION OF CHAOS IN CHUA'S OSCILLATOR IN TERMS OF UNSTABLE PERIODIC ORBITS

Author:

OGORZAŁEK MACIEJ J.1,GALIAS ZBIGNIEW1

Affiliation:

1. Department of Electrical Engineering, University of Mining and Metallurgy, al. Mickiewicza 30, 30-059 Kraków, Poland

Abstract

We present a picture book of unstable periodic orbits embedded in typical chaotic attractors found in the canonical Chua's circuit. These include spiral Chua's, double-scroll Chua's and double hook attractors. The "skeleton" of unstable periodic orbits is specific for the considered attractor and provides an invariant characterisation of its geometry.

Publisher

World Scientific Pub Co Pte Lt

Subject

Electrical and Electronic Engineering,Hardware and Architecture,Electrical and Electronic Engineering,Hardware and Architecture

Cited by 17 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Hidden attractors in Chua circuit: mathematical theory meets physical experiments;Nonlinear Dynamics;2022-12-21

2. Smooth Nonlinearity Generation with lnCosh and Realization of Chaotic Oscillator;Journal of Circuits, Systems and Computers;2022-11-30

3. AN UNIVERSAL PHENOMENON IN MUTUALLY COUPLED CHUA'S CIRCUIT FAMILY;Journal of Circuits, Systems and Computers;2014-02

4. DETECTING UNSTABLE PERIODIC ORBITS IN CHEN'S CHAOTIC ATTRACTOR;International Journal of Bifurcation and Chaos;2000-08

5. Chaotic Systems Control;Wiley Encyclopedia of Electrical and Electronics Engineering;1999-12-27

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