Study on eigenvalue space of hyperchaotic canonical four-dimensional Chua's circuit

作     者：李冠林 陈希有 

作者机构：Department of Electrical and Electronics EngineeringDalian University of Technology 

出 版 物：《Chinese Physics B》 (中国物理B（英文版）)

年 卷 期：2010年第19卷第3期

页      面：137-144页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 50877007) 

主　　题：four-dimensional Chua's circuit eigenvalue space hyperchaos 

摘      要：The eigenvalue space of the canonical four-dimensional Chua＇s circuit which can realize every eigenvalue for fourdimensional system is studied in this paper. First, the analytical relations between the circuit parameters and the eigenvalues of the system are established, and therefore all the circuit parameters can be determined explicitly by any given set of eigenvalues. Then, the eigenvalue space of the circuit is investigated in two cases by the nonlinear elements used. According to the types of the eigenvalues, some novel hyperchaotic attractors are presented. Further, the dynamic behaviours of the circuit are studied by the bifurcation diagrams and the Lyapunov spectra of the eigenvalues.