Wild Milnor attractors accumulated by lower dimensional dynamics

Details Wild Milnor attractors accumulated by lower dimensional dynamics Wild Milnor attractors accumulated by lower dimensional dynamics

2011-06-19

arxiv.org/abs/1106.3741v1

Mathematics

Dynamical Systems

30 pages, 4 figures. This paper contains the results of http://arxiv.org/abs/1003.2280 and some more. It has been completely

Scientific paper

We present new examples of open sets of diffeomorphisms such that a generic diffeomorphisms in those sets have no dynamically indecomposable attractors in the topological sense and have infinitely many chain-recurrence classes. We show that except from one particular class, the other classes are contained in periodic surfaces. This study allows us to obtain existence of Milnor attractors as well as studying ergodic properties of the diffeomorphisms in those open sets by using the ideas and results from [BV] and [BF].

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