A novel four-dimensional autonomous hyperchaotic system

doi:10.1088/1674-1056/18/6/013

中国物理B ›› 2009, Vol. 18 ›› Issue (6): 2188-2193.doi: 10.1088/1674-1056/18/6/013

A novel four-dimensional autonomous hyperchaotic system

刘崇新, 刘凌

School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China

收稿日期:2008-10-26 修回日期:2008-11-22 出版日期:2009-06-20 发布日期:2009-06-20

A novel four-dimensional autonomous hyperchaotic system

Liu Chong-Xin(刘崇新)^† and Liu Ling(刘凌)

School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China

Received:2008-10-26 Revised:2008-11-22 Online:2009-06-20 Published:2009-06-20

摘要/Abstract

摘要： A novel four-dimensional autonomous hyperchaotic system is reported in this paper. Some basic dynamical properties of the new hyperchaotic system are investigated in detail by means of a continuous spectrum, Lyapunov exponents, fractional dimensions, a strange attractor and Poincaré mapping. The dynamical behaviours of the new hyperchaotic system are proved by not only performing numerical simulation and brief theoretical analysis but also by conducting an electronic circuit experiment.

Abstract: A novel four-dimensional autonomous hyperchaotic system is reported in this paper. Some basic dynamical properties of the new hyperchaotic system are investigated in detail by means of a continuous spectrum, Lyapunov exponents, fractional dimensions, a strange attractor and Poincaré mapping. The dynamical behaviours of the new hyperchaotic system are proved by not only performing numerical simulation and brief theoretical analysis but also by conducting an electronic circuit experiment.

Key words: hyperchaos, dynamical behaviors, circuit experiment

中图分类号: (Control of chaos, applications of chaos)

05.45.Gg

02.30.Uu (Integral transforms) 02.30.Yy (Control theory) 05.45.Vx (Communication using chaos)

刘崇新, 刘凌. A novel four-dimensional autonomous hyperchaotic system[J]. 中国物理B, 2009, 18(6): 2188-2193.

Liu Chong-Xin(刘崇新) and Liu Ling(刘凌). A novel four-dimensional autonomous hyperchaotic system[J]. Chin. Phys. B, 2009, 18(6): 2188-2193.

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A novel four-dimensional autonomous hyperchaotic system

A novel four-dimensional autonomous hyperchaotic system

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