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.