Open AccessBuilding and analysis of properties of a class of correlative and switchable hyperchaotic system
Author(s) -
Liu Yang-zheng,
Changsheng Jiang
Publication year - 2009
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.58.771
Subject(s) - phase portrait , correlative , attractor , lyapunov exponent , chaotic , class (philosophy) , nonlinear system , computer science , statistical physics , state (computer science) , control theory (sociology) , feature (linguistics) , multistability , topology (electrical circuits) , control (management) , mathematics , physics , bifurcation , mathematical analysis , algorithm , artificial intelligence , quantum mechanics , linguistics , philosophy , combinatorics
A class of four-dimensional correlative and switchable hyperchaotic systems are built by adding an additional state, the nonlinear functions and anti-control into the three-dimensional chaotic system. Some of their basic properties are studied, such as the feature of equilibrium, the phase portraits of hyperchaotic attractor, Lyapunov exponent and the evolution of the dynamical action. The practical circuit is designed to realise these systems.