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混沌边缘的动态网络

Dynamic networks at the edge of chaos
课程网址: http://videolectures.net/ephdcs08_gil_dnateoc/  
主讲教师: Santiago Gil
开课单位: 美国东北大学
开课时间: 2008-10-15
课程语种: 英语
中文简介:
研究了一种耦合相位振荡器网络。振荡器之间的相互作用以相移为特征,有效地考虑了相互作用的延迟。我们证明,在这个简单的模型中,相干集体动力学可以出现。另外,当相互作用的相移足够大时,也会产生混沌。引入一个全局反馈,可以抑制混沌行为,从而产生具有复杂动力学行为的网络局部结构。分析了这种过渡情况,特别关注了自组织结构的动力特性。
课程简介: A network of coupled phase oscillators is considered. Interactions between the oscillators are characterized by phase shifts, effectively taking into account interaction delays. We show that in this simple model coherent collective dynamics can emerge. Alternatively, chaos can develop when interaction phase shifts are large enough. Introducing a global feedback, chaotic behavior can be suppressed, giving rise to localized structures in the network with complex dynamical behavior. This transition scenario is analyzed, and special attention is paid to the dynamical properties of self-organized structures.
关 键 词: 相位振荡器; 局部结构; 动力学行为
课程来源: 视频讲座网
最后编审: 2021-09-20:zyk
阅读次数: 54