Article ID Journal Published Year Pages File Type
4609986 Journal of Differential Equations 2014 28 Pages PDF
Abstract

The main aim of this article is to show that maps with the specification property have invariant distributionally scrambled sets and that this kind of scrambled set can be transferred from factor to extension under finite-to-one factor maps. This solves some open questions in the literature of the topic.We also show how our method can be applied in practice, taking as example Poincaré map of time-periodic nonautonomous planar differential equationz˙=v(t,z)=(1+eiκt|z|2)z¯3−N where κ and N are sufficiently small positive real numbers.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
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