Open AccessFour-dimensional switchable hyperchaotic system
Author(s) -
Liu Yang-zheng,
Changsheng Jiang,
Lin Chang-Sheng,
Sun Young Han
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.56.5131
Subject(s) - phase portrait , attractor , lyapunov exponent , chaotic , bifurcation , statistical physics , class (philosophy) , multistability , fractal , computer science , dimension (graph theory) , control theory (sociology) , fractal dimension , feature (linguistics) , bifurcation diagram , topology (electrical circuits) , physics , mathematics , mathematical analysis , nonlinear system , pure mathematics , quantum mechanics , control (management) , artificial intelligence , linguistics , philosophy , combinatorics
A class of four-dimensional switchable hyperchaotic systems is built by adding an additional state to the three-dimensional switchable chaotic system. When subsystems are hyperchaotic, an identical system parameter is determined according to the bifurcation diagrams of the subsystems. Some of its basic dynamical properties are studied detailedly, such as the feature of equilibrium, the phase portraits of hyperchaotic attractor,the Lyapunov exponent and the fractal dimension. A practical circuit is designed to realize these systems.