Open AccessA hyperchaotic Lorenz attractor and its circuit implementation
Author(s) -
Guangyi Wang,
Z. Yan,
Jingbiao Liu
Publication year - 2007
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.56.3113
Subject(s) - attractor , lyapunov exponent , chaotic , lorenz system , bifurcation , control theory (sociology) , hopf bifurcation , stability (learning theory) , electronic circuit , topology (electrical circuits) , physics , computer science , mathematics , mathematical analysis , nonlinear system , quantum mechanics , control (management) , artificial intelligence , machine learning , combinatorics
In this paper, a new hyperchaotic system is constructed by introducing an additional state variable into the third-order Lorenz system. Some basic properties, including dissipativity, equlibria, stability and Hopf bifurcation, of this hyperchaotic system are analyzed in detail, and the bifurcation routes to hyperchaos from periodic, chaotic evolutions are observed. The existence of hyperchaos is verified with Lyapunov exponent spectrum. Moreover, an analog electronic circuit is designed, and various hyperchaotic attractors of this system are observed from the circuit experiments.