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

作　　者：李冠林 陈希有 

机构地区：[1]Department of Electrical and Electronics Engineering,Dalian University of Technology

出　　处：《Chinese Physics B》2010年第3期137-144,共8页中国物理B（英文版）

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

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.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.

关 键 词：four-dimensional Chua＇s circuit eigenvalue space HYPERCHAOS 

分 类 号：O415.5[理学—理论物理]