Seminar 21.3.2013: Richard Kollar (KAMS)

Seminar on Qualitative Theory of Differential Equations
organized by P.Quittner, M.Fila and R.Kollar

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Seminar 21.3.2013: Richard Kollar (KAMS)

Postby quittner » Thu Mar 14, 2013 10:01 am

Seminár z kvalitatívnej teórie diferenciálnych rovníc

Štvrtok 21.3.2013 o 14:00 v miestnosti M-223

Richard Kollár (KAMŠ FMFI UK):
Graphical Krein signature and its application to Hamiltonian-Hopf bifurcations

Abstract: A new type of criterion for Hamiltonian-Hopf bifurcation will be
presented, particularly exact conditions allowing or preventing a collision of
eigenvalues of opposite Krein signature. We give an exact condition contrary
to the existing work that only covers 'generic' systems. The criterion arises
from the geometrical theory of graphical Krein signature. If time permits
we will discuss the recent development in the stability index theory
for unbounded operators.
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