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Mechanical Analysis and Energy Cycle of Chen Chaotic System

  • General and Applied Physics
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Abstract

This paper formulates the Chen chaotic system to the extended Kolmogorov system, thereby investigating the physical meaning and energy cycle of Chen system. The Casimir function is introduced to analyze the system dynamics, and its time derivation is chosen to formulate energy cycle. The bound of chaotic attractor is obtained by the Casimir function and Lagrange multiplier. The Casimir function reflects the energy conversion and the distance between the orbit and the equilibria. These relationships are illustrated by numerical simulations.

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Authors and Affiliations

  1. School of Science and School of Mechanical Engineering, Tianjin Polytechnic University, Tianjin, 300387, China

    Xiyin Liang

  2. Tianjin Key Laboratory of Advanced Technology of Electrical Engineering and Energy, Tianjin Polytechnic University, Tianjin, 300387, China

    Guoyuan Qi

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  1. Xiyin Liang
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  2. Guoyuan Qi
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Correspondence to Guoyuan Qi.

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Liang, X., Qi, G. Mechanical Analysis and Energy Cycle of Chen Chaotic System. Braz J Phys 47, 288–294 (2017). https://doi.org/10.1007/s13538-017-0495-y

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  • DOI: https://doi.org/10.1007/s13538-017-0495-y

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