Title : Bifurcation of solutions to Hamiltonian boundary value problems
Speaker: Christian Offen
Affiliation: Massey University
Time: 2 pm Thursday, 23 November, 2017
Location: 303-257
Singularity theory or catastrophe theory has been attracting researcher for more than half a century. Nowadays, a well-developed framework is available to analyse which bifurcations occur in gradient-zero-problems for families of smooth scalar valued map germs. In this talk I will introduce a geometric picture involving the intersection of Lagrangian submanifolds to analyse how and to which extend boundary value problems in Hamiltonian systems fit into the framework of singularity theory. Moreover, I will analyse how conserved quantities and symmetries lead to new bifurcation phenomena.

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