event
Friday 05 Oct 2012: Dynamics seminar: Study of Bifurcations and Competition in Phase Oscillator Network with Positive and Negative Couplings
Dr O Burylko - Ukraine National Academy of Sciences
Harrison 203 14:00-15:00
We consider Kuramoto-Sakaguchi type model of globally coupled phase oscillators with positive and negative coupling parameters. Such type of model with natural motivation was proposed for consideration by H.Hong and S.Strogatz where they obtained interesting and unexpected results. Our aim is to do bifurcation analysis for the finite-dimensional case of identical oscillators when phase shift is involved. We describe invariant manifolds and find complicated heteroclinic constructions, chaos and multistability in the system
