论文标题

非自主振荡器和振荡器网络的正常双曲线

Normal hyperbolicity for non-autonomous oscillators and oscillator networks

论文作者

MacKay, Robert S.

论文摘要

本章介绍了非自治振荡器的视图,作为从时间的输入函数到可能的解决方案圆(时间的状态函数)的映射。它指示了这种观点如何包含时间表系统,并至少在概念上可以理解振荡器网络中同步的程度,无论是否自主。对于后者,引入了分层聚合方案。该方法基于正常双曲线的理论。

This chapter presents a view of a non-autonomous oscillator as a mapping from input functions of time to a circle of possible solutions (state functions of time). It indicates how this view encompasses chronotaxic systems and enables one, at least conceptually, to understand the extent of synchronisation in networks of oscillators, whether autonomous or not. For the latter a hierarchical aggregation scheme is introduced. The approach is based on the theory of normal hyperbolicity.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源