Abstract
Symmetry plays an important part in the research of the dynamical behavior of nonlinear system. It is proved in this paper that, for a class of centrosymmetric systems with parametric excitation, chaos behaves in centrosymmetric manner, which implies that chaos need not to be an unsymmetric dynamical state.
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References
Nayfeh A H, Mook D T Nonlinear oscillations. Wiley, New York: 1979
Lorenz E N. Deterministic nonperiodic flow. J Atmos Sci, 1963, 20: 130
Guckenheimer J, Holmes P. Nonlinear oscillations dynamical systems and bifurcations of vector fields, second pinting revised and corrected. New York: Springer-Verlag, 1986
Thomphson J M T, Stewart H B. Nonlinear dynamics and chaos. Wiley: Chichester, 1986
Liu Zengrong, Yao Weiguo, Zhu Zhaoxuan. Road to chaos for a soft spring system under weak periodic disturbance. Appl Math and Mech. 1986, 7 (2): 111
Zhu Zhaoxuan. Chaos. in: Qian Weichang. New advancements in nonlinear mechanics. Wu Han: Hua Zhong Scientific and Technical University Press, 1988
Liu Zengrong. Melnikov method in chaotic investigation. in: Guo Zhongheng. Modern Mathematics and Mechanics. Beijing: Peking University Press, 1988
Marsden J B. Qualitative Methods in Bifurcation Theory. Bull. Amer Math Soc. 1978, B4: 1125
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The project supported by National Natural Science Foundation of China
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Zengrong, L., Nan, Z. & Huimin, X. A centrosymmetric chaos. Acta Mech Sinica 8, 21–23 (1992). https://doi.org/10.1007/BF02486911
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DOI: https://doi.org/10.1007/BF02486911