The characteristics of the chaotic parameters for a loss type of modified coupled dynamic system

Hao Jian-Hong; Sun Na-Yan

doi:10.7498/aps.61.150504

Abstract

A coupled dynamos model considering two loss characteristics is proposed, which can characterize the practical situation well compared with the previous one. By numerical calculation, the Lyapunov exponential spectrum, bifurcation diagram and Poincaré mapping are given. Then the dynamic characteristics of the parameters space are analyzed. From these results, it can be found that the novel coupled dynamo model with the consideration of mechanical damping loss, has double attractors. The mechanical damping loss can suppress the chaotic occurrence and leads to more complex bifurcation characteristic appearing in the parameter space. The two kinds of the loss characteristic parameters have significant influence on the dynamic behavior of the system.

Keywords:

Authors and contacts

1.
School of Electric and Electronic Engineering, North China Electric Power University, Beijing 102206, China
Funds: Project supported by the National Natural Science Foundation of China (Grant No. 10775018), and the International Science and Technology Cooperation Program(Grant Nos. 2007DFA71250, 2011DFR00780).

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Cited By

[1]	Lorenz E N 1963 J. Atmos. Sci. 20 130
[2]	Lorenz E N 1993 The Essence of chaos (Washington: University of Washington Press) p102
[3]	Kennedy M P 1993 IEEEE Trans Circ Syst. 40 657
[4]	Matian M A, Guemez J 1994 Phys. Rev. Lett. 72 1145
[5]	Agiza H N 2002 Chaos Solitons & Fractals 13 341
[6]	Agiza H N 2004 Int. J. Modern Phys. C 15 873
[7]	Wang X Y, Wu X J 2006 Acta Phys. Sin. 55 5083 (in Chinese) [王兴元, 武相军 2006 55 5083]
[8]	Wang X Y, Wu X J 1995 Phys. Rev. Lett. 52 3558
[9]	Wu S H, Sun Y, Hao J H 2011 Acta Phys. Sin. 60 010507 (in Chinese) [吴淑花, 孙毅, 郝建红, 许海波 2011 60 010507]
[10]	Wang M J, Wang X Y 2010 Acta Phys. Sin. 59 1583 (in Chinese) [王明军, 王兴元 2010 59 1583]

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Catalog

Vol. 61, Issue 15 - 2012-08-05

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