Open AccessTheoretical analysis and circuit implementation of a new four dimensional chaotic system
Author(s) -
Yuhui Zhang,
QI Guo-yuan,
Wenliang Li,
Yan Yan
Publication year - 2006
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.55.3307
Subject(s) - chaotic , attractor , invariant (physics) , symmetry (geometry) , product (mathematics) , coordinate system , computer science , control theory (sociology) , mathematics , topology (electrical circuits) , mathematical analysis , geometry , mathematical physics , artificial intelligence , combinatorics , control (management)
This paper further analyzes some basic properties of a new complex four-dimensional continuous autonomous chaotic system, in which each equation contains a cubic cross-product term. The new system has 9 equilibria which display graceful symmetry with respect to the origin and coordinate planes, and they are similar with respect to their linearized characteristics and invariant manifolds. Two coexisting symmetric double-wing chaotic attractors are described. Finally, an analog circuit is designed to implement the new system, which shows a good agreement between numerical simulation and experimental results, and explains their significant distinction in applications due to difference in frequencies.