Dynamical analysis and circuit simulation of a new three-dimensional chaotic system

doi:10.1088/1674-1056/19/7/070506

Abstract This paper reports a new three-dimensional autonomous chaotic system. It contains six control parameters and three nonlinear terms. Two cross-product terms are respectively in two equations. And one square term is in the third equation. Basic dynamic properties of the new system are investigated by means of theoretical analysis, numerical simulation, sensitivity to initial, power spectrum, Lyapunov exponent, and Poincaré diagrams. The dynamic properties affected by variable parameters are also analysed. Finally, the chaotic system is simulated by circuit. The results verify the existence and implementation of the system.

Keywords: chaotic system dynamical properties circuit simulation nonlinear analysis

Accepted manuscript online:

PACS:	05.45.Vx	(Communication using chaos)
	84.30.Bv	(Circuit theory)
	02.30.Yy	(Control theory)
	07.05.Dz	(Control systems)
	02.60.Cb	(Numerical simulation; solution of equations)

Cite this article:

Wang Ai-Yuan (王爱元), Ling Zhi-Hao (凌志浩) Dynamical analysis and circuit simulation of a new three-dimensional chaotic system 2010 Chin. Phys. B 19 070506

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