KAM and presymplectic dynamics
 
 
Description:  Classical Kolmogrov-Arnold-Moser theory studies stability problem for invariant tori for nearly integrable dynamical systems. This theory has been developed beyond nearly integrable systems. I will explain basic concepts and results of the classical KAM theorem. Then I will state a KAM theorem for Presymplectic dynamical systems which has a different approach to the problem of the stability of invariant tori than the classical KAM. Starting with an approximate invariant torus, I will introduce an algorithm to find an invariant torus nearby.
Date:  2012-12-05
Start Time:   15:30
Speaker:  Hassan Alishah (IST, Lisboa)
Institution:  Instituto Superior Técnico - Lisboa
Place:  Sala 2.4
Research Groups: -Geometry
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