Brazilian Journal of Physics

, Volume 47, Issue 3, pp 288–294 | Cite as

Mechanical Analysis and Energy Cycle of Chen Chaotic System

  • Xiyin Liang
  • Guoyuan Qi
General and Applied Physics


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.


Chen system Kolmogorov system Casimir function Energy conversion 


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Copyright information

© Sociedade Brasileira de Física 2017

Authors and Affiliations

  1. 1.School of Science and School of Mechanical EngineeringTianjin Polytechnic UniversityTianjinChina
  2. 2.Tianjin Key Laboratory of Advanced Technology of Electrical Engineering and EnergyTianjin Polytechnic UniversityTianjinChina

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