Mechanical analysis of Chen chaotic system

Xiyin Liang and Guoyuan Qi

Chaos, Solitons & Fractals, 2017, vol. 98, issue C, 173-177

Abstract: The Chen chaotic system is transformed into Kolmogorov type system, which is decomposed into four types of torques: inertial torque, internal torque, dissipation and external torque. By the combinations of different torques, five cases are studied to discover key factors of chaos generation and the physical meaning. The conversion among Hamiltonian energy, kinetic energy and potential energy is investigated in these five cases. The relationship between the energies and the parameters is studied. It concludes that the combination of these four types of torques is necessary conditions to produce chaos, and any combination of three types of torques cannot produce chaos in Chen system.

Keywords: Chen system; Kolmogorov system; Li-Poisson bracket; Dissipation; Kinetic energy; Potential energy (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:98:y:2017:i:c:p:173-177

DOI: 10.1016/j.chaos.2017.03.021

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