Tuesday, February 15, 2022
Daniel Strzelecki (Nicolaus Copernicus University, Toruń, Poland)
"Lyapunov center theorem  for Hamiltonian systems with symmetries"

16:00-17:00 GMT
(08:00 Los Angeles, 10:00 Mexico City, 11:00 New York, 13:00 Rio de Janeiro, 16:00 London, 17:00 Rome, 19:00 Moscow, 21:30 Delhi, 00:00 Beijing, 03:00 Sydney)

Zoom ID: 818 8142 8239
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Abstract: Classical Lyapunov center theorem is an useful result but can not be applied when critical points are not isolated. In the presence of symmetries of a compact Lie group  critical points form orbits of the group action. I am going to present the symmetric version of the Lyapunov center theorem where the crucial assumptions are given in the terms of Brouwer degree and Morse index. Some applications to problems from celestial mechanics will be shown.
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