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具有主共振耦合振子的混沌相位同步
引用本文:刘勇,王作雷,毕勤胜. 具有主共振耦合振子的混沌相位同步[J]. 动力学与控制学报, 2008, 6(3): 229-234
作者姓名:刘勇  王作雷  毕勤胜
作者单位:盐城师范学院数学科学学院,盐城,224009;江苏大学理学院,镇江,212013;江苏大学理学院,镇江,212013
摘    要:通过引入混沌运动的相位定义分析了线性和非线性耦合参数对两个主共振子系统之间的混沌相位同步的影响.讨论了在严格1:1内共振条件下,两子系统不同步、不完全相位同步和完全相位同步之间的演化过程,揭示了不同状态相互转化与Lyapunov指数变化之间的关系,指出随着线性耦合力的增加,相位同步效应增强,然而随着非线性耦合力的增加,相位同步效应减弱.

关 键 词:相位同步  Rǎssler振子  耦合  Lyapunov指数
收稿时间:2008-02-14
修稿时间:2008-06-03

Phase synchronization of coupling oscillators with primary resonance
Liu Yong,Wang Zuolei and Bi Qinsheng. Phase synchronization of coupling oscillators with primary resonance[J]. Journal of Dynamics and Control, 2008, 6(3): 229-234
Authors:Liu Yong  Wang Zuolei  Bi Qinsheng
Affiliation:1.School of mathematical science;Yancheng Teachers University;Yancheng 224009;China;2.Faculty of science;Jiangsu University;Zhenjiang 212013;China
Abstract:By introducing the conception of the phase for a chaotic motion,the influence of the linear and nonlinear coupling parameters on the phase synchronization of chaos between two sub-systems was explored.The evolution process from non-synchronized state to imperfect synchronization and further to perfect synchronization between two sub-systems with exact 1:1 internal resonance was discussed.Further investigation reveals that the transition between different phase states is related to the critical change of the...
Keywords:phase synchronization  Rassler oscillator  coupling  Lyapunov exponent
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