Branching Homoclinic Orbits in Hamiltonian Systems

Monday, September 15, 1997 - 11:00am - 12:00pm
Keller 3-180
D.v. Turaev (Weizmann Institute of Science)
Codimension-one bifurcations of homoclinic orbits in Hamiltonian systems are considered. Two mechanisms of creation of infinite series of homoclinic loops are discussed: the appearance of a saddle peiodic orbit near a homoclinic loop (in the same level of the first integral) and the appearance of an orbit which is homoclinic to a homoclinic loop.