Analysis of transition between chaos and hyper-chaos of an improved hyper-chaotic system
Gu Qiao-Lun(顾巧论)a) and Gao Tie-Gang(高铁杠)b)†
aDepartment of Computer, Tianjin University of Technology and Education, Tianjin 300222, China; bCollege of Software, Nankai University, Tianjin 300070, China
Abstract An improved hyper-chaotic system based on the hyper-chaos generated from Chen's system is presented, and some basic dynamical properties of the system are investigated by means of Lyapunov exponent spectrum, bifurcation diagrams and characteristic equation roots. Simulations show that the new improved system evolves into hyper-chaotic, chaotic, various quasi-periodic or periodic orbits when one parameter of the system is fixed to be a certain value while the other one is variable. Some computer simulations and bifurcation analyses are given to testify the findings.
Received: 01 April 2008
Revised: 19 September 2008
Accepted manuscript online:
PACS:
05.45.Gg
(Control of chaos, applications of chaos)
Fund: Project supported by the Key
Program of Natural Science Fund of Tianjin, China (Grant No
07JCZDJC06600), and the National Natural Science Foundation of China
(Grant No 60873117).
Cite this article:
Gu Qiao-Lun(顾巧论) and Gao Tie-Gang(高铁杠) Analysis of transition between chaos and hyper-chaos of an improved hyper-chaotic system 2009 Chin. Phys. B 18 84
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