Open AccessA novel three-dimensional autonomous chaotic system
Author(s) -
Feng Chao-Wen,
Li Cai,
Qiang Kang,
Lisen Zhang
Publication year - 2011
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.60.030503
Subject(s) - lyapunov exponent , realizability , chaotic , phase portrait , bifurcation diagram , computer simulation , computer science , bifurcation , dimension (graph theory) , statistical physics , topology (electrical circuits) , physics , mathematics , nonlinear system , algorithm , simulation , quantum mechanics , pure mathematics , artificial intelligence , combinatorics
Based on the study of Chua’s circuit, a novel chaotic system is reported. Basic dynamical properties of the new system are further investigated via theoretical analysis and numerical simulation, including Lyapunov exponent, Lyapunov dimension, portrait diagrams, Lyapunov exponent spectrum, bifurcation diagrams, Poincaré mapping and power spectrum. Finally, an electronic circuit is designed by the Orcad-PSpice softeware to implement the new system. The investigation results show that the new chaotic system has broad parameter regions, an maximum Lyapunov exponent approaching one, and is not topologically equivalent to Chua’s circuit. It also shows a good agreement between numerical simulation and circuit experimental simulation, which proves the existence and physical realizability of the new chaotic system.