CRM: Centro De Giorgi
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Seminari di Sistemi Dinamici Olomorfi 2018-2019

seminar: RECENT RESULTS ON LORENZ-LIKE ATTRACTORS AND ON FLOWS WITH EQUILIBRIA

speaker: Maria Jose Pacifico (Universidade Federal do Rio de Janeiro)

abstract: We shall describe some recent results on Lorenz-like attractors as well on attractors with spiral geometry. In particular, we shall prove that the Hausdorff dimension of a geometric Lorenz attractor is strictly bigger than 2, a Log Law for the hitting time of expanding (as well contracting) Lorenz attractor. We apply these to obtain that the interior of the Lagrange spectrum of a geometric Lorenz attractor has non empty interior. These corresponds to joint work with V. Araujo, S. Galatolo, C. G. Moreira, I. Nisoli, S. Roma ̃na and M. Viana.


timetable:
Wed 27 Feb, 14:30 - 15:30, Sala Conferenze Centro De Giorgi
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