Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609986 | Journal of Differential Equations | 2014 | 28 Pages |
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Magdalena Foryś, Piotr Oprocha, Paweł Wilczyński,