| 近邻耦合极限环振子的集体同步 |
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| 引用本文： | 张廷宪,刘荣. 近邻耦合极限环振子的集体同步[J]. 曲靖师范学院学报, 2003, 22(3): 42-45 |
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| 作者姓名： | 张廷宪 刘荣 |
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| 作者单位： | 1. 曲靖师范学院,物理系,云南,曲靖,655000
2. 大学物理,编辑部,北京,100875 |
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| 基金项目： | 曲靖师范学院立项资助课题“时空非线性系统的输运过程与合作动力学”( 0 2 12 90 1) |
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| 摘 要： | 在不忽略极限环振子振幅变化的情况下，考察了具有自然频率分布的极限环振子的最近邻耦合。观察到一些具体现象．适当选择自然频率的范围和耦合强度，通过序参数随时间的周期、准周期和混沌演化，可以看到耦合极限环的频率锁定，振幅死亡和不连贯等现象．通过增大耦合强度，我们同时可以看到相同步的分岔树系列．同时，还可以观察到振子振幅分布的时间演化．
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| 关 键 词： | 同步 集体同步 极限环 振子耦合 |
| 文章编号： | 1009-8879(2003)03-0042-04 |
| 修稿时间： | 2003-03-15 |
Collective synchronization of nearest coupled limit-cycle oscillators |
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| Zhang Tingxian ,Liu Rong. Collective synchronization of nearest coupled limit-cycle oscillators[J]. Journal of Qujing Normal College, 2003, 22(3): 42-45 |
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| Authors: | Zhang Tingxian Liu Rong |
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| Affiliation: | Zhang Tingxian 1,Liu Rong 2 |
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| Abstract: | The behaviors of coupled limit cycle oscillators each of which has a periodic motion with random natural frequency in the absence of coupling and is nearest coupled are investigated. Some cillective phenomena are revealed. Depending on the choice of coupling strength and the spread of natural frequencies, the sytem exhibits the frequency locking, amplitude death, and incoherence, as well as the unsteady behavior characterized periodic, quasi-periodic or chaotic evolution of the system's order parameter. By increasing the coupling strength, a bifurcation tree orders of phase synchronization can be found. We also can find the distribution of each amplitude. |
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| Keywords: | synchronization collective synchronization limit-cycle oscillator coupling |
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