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Session S03 - Geometric and Variational Methods in Celestial Mechanics

Wednesday, July 21, 16:30 ~ 17:10 UTC-3

Resonances and their collapse in moving binaries

Mark Levi

Penn State, USA   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

When two coupled point masses move in a periodic potential the energy of their collective motion may get transferred, via resonance, to the energy of their relative motion. Two pendula with torsional coupling is a prime example. I will describe the role of the symplectic group played in this effect, a connection with the finite-zone Lame potential and a certain universality in the resonant behavior.

Joint work with Jing Zhou.

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