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

共 50 条

[41] Dynamic controller design for exponential synchronization of Chen chaotic system
Park, Ju H.
Lee, S. M.
Kwon, O. M.
PHYSICS LETTERS A, 2007, 367 (4-5) : 271 - 275
[42] Fuzzy robust controller for Chen's chaotic system with uncertainties
Wu, Tao
Qu, Shaocheng
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2006, 13 : 392 - 395
[43] On the Dynamics of the Unified Chaotic System Between Lorenz and Chen Systems
Llibre, Jaume
Rodrigues, Ana
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2015, 25 (09):
[44] Global synchronization and adaptive synchronization for Chen's chaotic system
Wu, Xianyong
Guan, Zhihong
Wu, Zhengping
Huazhong Keji Daxue Xuebao (Ziran Kexue Ban)/Journal of Huazhong University of Science and Technology (Natural Science Edition), 2007, 35 (12): : 24 - 27
[45] Chaotic Chen System for RGB Image Transmission by Parameter Switching
Kumar, A.
Sandoval-Ibarra, Y.
Nunez-Perez, J. C.
Tlelo-Cuautle, E.
2018 INTERNATIONAL CONFERENCE ON MECHATRONICS, ELECTRONICS AND AUTOMOTIVE ENGINEERING (ICMEAE 2018), 2018, : 9 - 14
[46] Synchronization of bidirectionally coupled chaotic Chen's system with delay
Tarai , Anindita
Poria, Swarup
Chatterjee, Prasanta
CHAOS SOLITONS & FRACTALS, 2009, 41 (01) : 190 - 197
[47] Fuzzy robust controller for uncertain Chen's chaotic system
Qu, Shaocheng
Xu, Jiansheng
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 402 - 405
[48] Neural Control for Synchronization of a Chaotic Chua-Chen System
Perez, J. H.
IEEE LATIN AMERICA TRANSACTIONS, 2016, 14 (08) : 3560 - 3568
[49] The Circuit Design and Simulation of Chen Chaotic System with Fractional Order
Ou, Qingli
Xu, Lanxia
2011 INTERNATIONAL CONFERENCE ON COMPUTER SCIENCE AND NETWORK TECHNOLOGY (ICCSNT), VOLS 1-4, 2012, : 1326 - 1329
[50] Mechanical analysis of Qi four-wing chaotic system
Qi, Guoyuan
Liang, Xiyin
NONLINEAR DYNAMICS, 2016, 86 (02) : 1095 - 1106

← 1 2 3 4 5 →