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Talk Abstract
Branching homoclinic orbits in Hamiltonian systems

Dimitri Turaev, Weizmann Institute

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.

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