Hits:

Indexed by:期刊论文

Date of Publication:2010-03-01

Journal:CHINESE PHYSICS B

Included Journals:SCIE、EI、ISTIC、CSCD

Volume:19

Issue:3

Page Number:137-144

ISSN No.:1674-1056

Key Words:four-dimensional Chua's circuit; eigenvalue space; hyperchaos

Abstract:The eigenvalue space of the canonical four-dimensional Chua's circuit which can realize every eigenvalue for four-dimensional 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.