Inversely Unstable Solutions of Two-Dimensional Systems on Genus-P Surfaces and the Topology of knotted attractors
نویسندگان
چکیده
In this paper, we will show that a periodic nonlinear ,time-varying dissipative system that is defined on a genus-p surface contains one or more invariant sets which act as attractors. Moreover, we shall generalize a result in [Martins, 2004] and give conditions under which these invariant sets are not homeomorphic to a circle individually, which implies the existence of chaotic behaviour. This is achieved by studying the appearance of inversely unstable solutions within each invariant set.
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عنوان ژورنال:
- I. J. Bifurcation and Chaos
دوره 18 شماره
صفحات -
تاریخ انتشار 2008