Some Results on Connecting Orbits for a Class of Hamiltonian Systems.

摘要

The existence of various kinds of connecting orbits is established for a certain Hamiltonian system as well as its time dependent analogue. For the autonomous case, our main assumption is that V has a global maximum, e.g. at X = O and we find various kinds of orbits terminating at O. For the time dependent case, V has a local but not global maximum at X = O, and we find a homoclinic orbit emanating from and terminating at O. Keywords: Periodic solution. (KR)