Renormalization in Dynamics - Pisa 2016
timetable:
Wed 6 Apr, 11:30 - 12:15, Aula Dini
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Piecewise contractions are typical asymptotically periodic
speaker: Arnaldo Nogueira (Institut de Mathematiques de Marseille)abstract: We define for every finite parametrized partition of the n-dimensional Euclidean space, a map that acts as a smooth contraction on each partition element. We prove that, for almost every choice of parameters, the piecewise contraction has at most finitely periodic orbits and every orbit is asymptotically periodic. We will show that this result can be applied to models as switched flow systems and outer billiards with contraction.
The talk is based on a joint work with H. Bruin and B. Pires.
timetable:
Wed 6 Apr, 11:30 - 12:15, Aula Dini
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