Geodesic
Emergence and non-typicality of the finiteness of the attractors in many topologies
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Order and chaos in dynamical systems, Tome 297 (2017), pp. 7-37.

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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 $C^d$-families of $C^r$-dynamics to contain a Baire generic set formed by families displaying infinitely many sinks at every parameter, for all $1\le d\le r\le\infty$ and $d\infty$ and two different topologies on families. In particular, the case $d=r=1$ is new. 
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Pierre Berger. Emergence and non-typicality of the finiteness of the attractors in many topologies. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Order and chaos in dynamical systems, Tome 297 (2017), pp. 7-37. http://geodesic.mathdoc.fr/item/TM_2017_297_a0/

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