Interaction of periodic and stationary bifurcation from multiple eigenvalues
We give a bifurcation result for stationary or periodic solutions of an evolution equation in Hilbert space when the linearization has critical eigenvalues 0 and \(\pm i\kappa_ 0\). We impose only conditions on the linearization along the trivial equilibria which allow to follow the lines of the classical Hopf bifurcation theorem: reduce it to a one- parameter bifurcation problem by solving for the frequency.
stationary or periodic solutions of an evolution equation in
Hilbert space when the linearization has critical eigenvalues
stationary or periodic solutions of an evolution equation in Hilbert space when the linearization has critical eigenvalues
scientific article; zbMATH DE number 3960367
scientific article