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Stefano Marò (Università di Pisa, Italy)

November 12, 2020 @ 4:00 pm - 5:00 pm CET

Speaker: Stefano Marò  (Università di Pisa, Italy)

Title: Chaotic motion in the breathing circle billiard

Abstract: We consider the free motion of a point particle inside a circular billiard with periodically moving boundary, with the assumption that the collisions of the particle with the boundary are elastic so that the energy of the particle is not preserved. It is known that if the motion of the boundary is regular enough then the energy is bounded due to the existence of invariant curves. We show that it is nevertheless possible that the motion of the particle is chaotic, also under regularity assumptions for the moving boundary. More precisely, we show that there exists a class of functions describing the motion of the boundary for which the billiard map admits invariant probability measures with positive metric entropy. The proof relies on variational techniques based on Aubry-Mather theory. Joint work with Claudio Bonanno.

NOTE: The seminar will be streamed live on our YouTube channel then saved there. If you ask questions, with your video feed on or off, you agree to the use of your image/spoken words for said purpose.


November 12, 2020
4:00 pm - 5:00 pm CET
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DAI Seminar Committee
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The Community of Italian Dynamicists