Emergence and non-typicality of the finiteness of the attractors in many topologies


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We introduce the notion of emergence for a dynamical system and conjecture the local typicality of super complex ones. Then, as part of this program, we provide sufficient conditions for an open set of Cd-families of Cr-dynamics to contain a Baire generic set formed by families displaying infinitely many sinks at every parameter, for all 1 ≤ dr ≤ ∞ and d < ∞ and two different topologies on families. In particular, the case d = r = 1 is new.

Sobre autores

Pierre Berger

Laboratoire Analyse, Géométrie et Applications, CNRS (UMR 7539)

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Email: berger@math.univ-paris13.fr
França, 99 Ave. Jean-Baptiste Clément, Villetaneuse, 93 430

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