Siegel der Universität Augsburg

Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg

 

Seminar Topics in Symplectic Geometry

 

Frau Marine Fontaine
Univrsity of Manchester

 
spricht am
 
Montag, 31. Juli 2017
 
um
 
16:00 Uhr
 
im
 
Raum 2004 (L1)
 
über das Thema:
 

»Persistence of stationary motion for Hamiltonian systems under explicit symmetry breaking perturbation.«

Abstract:
Explicit symmetry breaking occurs when a dynamical system having a certain group of symmetry is perturbed in a way that the perturbation conserves only some symmetries of the original system. Simple examples include perturbing the rotational motion of small molecules by adding a weak magnetic field or perturbing a symmetric heavy top to one that is not symmetric. A geometric approach to study this phenomenon for Hamiltonian systems will be presented and we give a lower bound for the number of orbits of equilibria and relative equilibria that persist under a small perturbation, subject to some non-degeneracy condition and a regularity condition that depends on the geometry. This work is in collaboration with James Montaldi.

 

Hierzu ergeht herzliche Einladung.
Urs Frauenfelder



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