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

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

中国物理B ›› 2010, Vol. 19 ›› Issue (7): 70506-070506.doi: 10.1088/1674-1056/19/7/070506

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

凌志浩¹, 王爱元²

(1)Department of Automation, East China University of Science and Technology, Shanghai 200237, China; (2)Department of Automation, East China University of Science and Technology, Shanghai 200237, China;School of Electric Engineering, Shanghai Dianji University, Shanghai 200240, China

出版日期:2010-07-15 发布日期:2010-07-15

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

Wang Ai-Yuan (王爱元)^ab, Ling Zhi-Hao (凌志浩)^a

^a Department of Automation, East China University of Science and Technology, Shanghai 200237, China; ^b School of Electric Engineering, Shanghai Dianji University, Shanghai 200240, China

Online:2010-07-15 Published:2010-07-15

摘要/Abstract

摘要： 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.

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.

Key words: chaotic system, dynamical properties, circuit simulation, nonlinear analysis

中图分类号: (Communication using chaos)

05.45.Vx

84.30.Bv (Circuit theory) 02.30.Yy (Control theory) 07.05.Dz (Control systems) 02.60.Cb (Numerical simulation; solution of equations)

王爱元, 凌志浩. Dynamical analysis and circuit simulation of a new three-dimensional chaotic system[J]. 中国物理B, 2010, 19(7): 70506-070506.

Wang Ai-Yuan (王爱元), Ling Zhi-Hao (凌志浩). Dynamical analysis and circuit simulation of a new three-dimensional chaotic system[J]. Chin. Phys. B, 2010, 19(7): 70506-070506.

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

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

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