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

doi:10.1088/1674-1056/19/3/030507

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.

Keywords: four-dimensional Chua's circuit eigenvalue space hyperchaos

Received: 14 July 2009
Revised: 18 August 2009
Accepted manuscript online:

PACS:	05.45.Jn	(High-dimensional chaos)
	05.45.Gg	(Control of chaos, applications of chaos)
	84.30.Bv	(Circuit theory)
	02.10.Ud	(Linear algebra)
	02.30.Oz	(Bifurcation theory)

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

Cite this article:

Li Guan-Lin(李冠林) and Chen Xi-You(陈希有) Study on eigenvalue space of hyperchaotic canonical four-dimensional Chua's circuit 2010 Chin. Phys. B 19 030507

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

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