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Maxime Zavidovique: Weak KAM solutions of conservative twist maps of the annulus

Time: Thu 2022-03-03 13.00

Location: Zoom meeting ID:

Participating: Maxime Zavidovique (Institut de Mathématiques de Jussieu - Paris Rive Gauche)

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Abstract: When studying the dynamics of conservative Twist maps of the annulus, a first thing to look for is the presence of invariant essential circles. There may not be any and weak KAM solutions provide a more general class of objects that always exist (at all cohomology classes) and from which are deduced backward invariant sets called pseudographs. We will explain that there exists a continuous choice of such weak KAM solutions with respect to the cohomology class. Moreover we will provide a rather precise description of how those weak KAM solutions can be constructed.