A novel chaotic system and its topological horseshoe

Chunlai Li; Lei Wu; Hongmin Li; Yaonan Tong

doi:10.15388/NA.18.1.14032

Articles

Chunlai Li

Hunan Institute of Science and Technology, China

Lei Wu

Air Force Paratrooper College, China

Hongmin Li

Hunan Institute of Science and Technology, China

Yaonan Tong

Hunan Institute of Science and Technology, China

Published 2013-01-25

https://doi.org/10.15388/NA.18.1.14032

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Keywords

chaotic system
invariable Lyapunov exponent spectrum
amplitude control
topological horseshoe

How to Cite

Li, C. (2013) “A novel chaotic system and its topological horseshoe”, Nonlinear Analysis: Modelling and Control, 18(1), pp. 66–77. doi:10.15388/NA.18.1.14032.

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Abstract

Based on the construction pattern of Chen, Liu and Qi chaotic systems, a new threedimensional (3D) chaotic system is proposed by developing Lorenz chaotic system. It’s found that when parameter e varies, the Lyapunov exponent spectrum keeps invariable, and the signal amplitude can be controlled by adjusting e. Moreover, the horseshoe chaos in this system is investigated based on the topological horseshoe theory.

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