山添 祥太郎 氏
Following the previous colloquium of July 13, we consider bifurcation problems of relative equilibria in perturbed infinite-dimensional Hamiltonian systems. Under assumption that the unperturbed systems have symmetries and some of them are broken by the perturbations, saddle-node and pitchfork bifurcations of bifurcated relative equilibria with their linear stability are detected. In this talk, we review our results and present a couple of plans for some extensions. This is a joint work with Prof. Kazuyuki Yagasaki.