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

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

中国物理B ›› 2010, Vol. 19 ›› Issue (3): 30507-030507.doi: 10.1088/1674-1056/19/3/030507

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

李冠林, 陈希有

Department of Electrical and Electronics Engineering, Dalian University of Technology, Dalian 116023, China

收稿日期:2009-07-14 修回日期:2009-08-18 出版日期:2010-03-15 发布日期:2010-03-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 50877007).

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

Li Guan-Lin(李冠林)^† and Chen Xi-You(陈希有)

Department of Electrical and Electronics Engineering, Dalian University of Technology, Dalian 116023, China

Received:2009-07-14 Revised:2009-08-18 Online:2010-03-15 Published:2010-03-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 50877007).

摘要/Abstract

摘要： 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.

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.

Key words: four-dimensional Chua's circuit, eigenvalue space, hyperchaos

中图分类号: (High-dimensional chaos)

05.45.Jn

05.45.Gg (Control of chaos, applications of chaos) 84.30.Bv (Circuit theory) 02.10.Ud (Linear algebra) 02.30.Oz (Bifurcation theory)

李冠林, 陈希有. Study on eigenvalue space of hyperchaotic canonical four-dimensional Chua's circuit[J]. 中国物理B, 2010, 19(3): 30507-030507.

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[J]. Chin. Phys. B, 2010, 19(3): 30507-030507.

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

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

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