Mechanical analysis of Chen chaotic system

被引：27

作者：

Liang, Xiyin ^{[1
]}

Qi, Guoyuan ^{[2
]}

机构：

[1] Tianjin Polytech Univ, Sch Sci, Tianjin 300387, Peoples R China

[2] Tianjin Polytech Univ, Tianjin Key Lab Adv Technol Elect Engn & Energy, Tianjin 300387, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2017年 / 98卷

关键词：

Chen system; Kolmogorov system; Li-Poisson bracket; Dissipation; Kinetic energy; Potential energy; KOLMOGOROV; MODELS;

D O I：

10.1016/j.chaos.2017.03.021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：173 / 177

页数：5