Heteroclinic Orbits for a Class of Hamiltonian Systems on Riemannian Manifolds
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چکیده
LetM be a smooth Riemannian manifold with the metric (gij) of dimension n, and let H = 1 2 g(q)pipj + V (t, q) be a smooth Hamiltonian on M, where gij is the inverse matrix of (gij). Under suitable assumptions we prove the existence of heteroclinic orbits of the induced Hamiltonian systems.
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تاریخ انتشار 2008