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DynamIC Seminars (Complete List)

Name Title Date Time Room
M. Martens & L. Palmisano (Stony Brook & Uppsala Univeristy)Newhouse LaminationsAbstract: We prove that the Newhouse phenomenon has a codimension 2 nature. Namely, there exist codimension 2 laminations of maps with infinitely many sinks. The leaves of the laminations are smooth and the sinks move simultaneously along the leaves. These Newhouse laminations occur in unfoldings of rank-one homoclinic tangencies. As consequence, in the space of polynomial maps, there are examples of: 1. two dimensional Hénon maps with finitely many sinks and one strange attractor, 2. Hénon maps, in any dimension, with infinitely many sinks, 3. quadratic Hénon-like maps with infinitely many sinks and one period doubling attractor, 4. quadratic Hénon-like maps with infinitely many sinks and one strange attractor, 5. two dimensional Hénon maps with finitely many sinks and two period doubling attractors, 6. quadratic Hénon-like maps with finitely many sinks, two period doubling attractors and one strange attractor. Thursday, 27 June 2019 14:00 Huxley 130
Ghani Zeghib (ENS, Lyon)Automorphism groups of conic structuresAbstract: A conic structure consists in giving a cone on each tangent space of a manifold. It gives naturally rise to two kinds of dynamics, one by seeing it as a set valued dynamical system, and a second by considering the action of its automorphism group. We prove a rigidity result for the latter action stating that if it has has a strong dynamics then the cone structure is quadratic. Monday, 1 July 2019 11:00 Huxley 139
Michael Benedicks (Uppsala University)Coexistence phenomena for Hénon mapsAbstract: In the standard Hénon family various coexistence phenomena can occur. In particular there is a positive Lebesgue measure set of parameters such that finitely many attractive periodic orbits and a "strange attractor" coexist. We also get a new approach to the Newhouse phenomenon of infinitely many coexisting attractive periodic orbits. Also two strange attractors can coexist for maps with parameters in the classical Hénon family. This is joint work with Liviana Palmisano. Tuesday, 2 July 2019 14:00 Huxley 130

DynamIC Workshops and Mini-Courses (Complete List)

Title Date Venue
Workshop on Critical Transitions in Complex SystemsMonday, 25 March 2019 – Friday, 29 March 2019Imperial College London

Short-term DynamIC Visitors (Complete List)

NameAffiliationArrivalDepartureHost
Márcio Gouveia UNESP, Sao Paulo Wednesday, 1 August 2018 Monday, 1 July 2019 Clark, van Strien

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