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非线性耦合Rössler系统的相位同步化

刘勇 毕勤胜 陈予恕

刘勇, 毕勤胜, 陈予恕. 非线性耦合Rössler系统的相位同步化[J]. 应用数学和力学, 2008, 29(6): 631-638.
引用本文: 刘勇, 毕勤胜, 陈予恕. 非线性耦合Rössler系统的相位同步化[J]. 应用数学和力学, 2008, 29(6): 631-638.
LIU Yong, BI Qin-sheng, CHEN Yu-shu. Phase Synchronization Between Nonlinearly Coupled RL ssler Systems[J]. Applied Mathematics and Mechanics, 2008, 29(6): 631-638.
Citation: LIU Yong, BI Qin-sheng, CHEN Yu-shu. Phase Synchronization Between Nonlinearly Coupled RL ssler Systems[J]. Applied Mathematics and Mechanics, 2008, 29(6): 631-638.

非线性耦合Rössler系统的相位同步化

基金项目: 国家自然科学基金资助项目(2047604110602020)
详细信息
    作者简介:

    刘勇(1973- ),男,江苏盐城人,博士;毕勤胜,教授(联系人.Tel:+86-511-88791110;E-mail:qbi@ujs.edu.cn).

  • 中图分类号: O193

Phase Synchronization Between Nonlinearly Coupled RL ssler Systems

  • 摘要: 讨论了具有1∶1和1∶2内共振非线性耦合系统的混沌相位同步.通过引入混沌运动的相位定义说明对于不同的内共振系统,在相对小的参数下两个子系统的平均频率差接近于0,即在弱相互作用下两个振子相位同步.随着耦合力的增加,平均频率差有波动,与1∶2内共振情形相比,在主共振条件下两个子系统平均频率差的波动较小,即使在弱作用下也是如此.线性耦合力的增加增强了相位同步效应,而非线性耦合力的增加使得两个子系统由相位同步向不同步转化,且相位动力学与Liapunov的变化有关,这也可以通过扩散云图来证实.
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出版历程
  • 收稿日期:  2007-10-26
  • 修回日期:  2008-04-14
  • 刊出日期:  2008-06-15

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