Abstract
Let M be a smooth Riemannian manifold with the metric (gij) of dimension n, and let H = 1/2 gij (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.
Original language | English |
---|---|
Pages (from-to) | 1097-1111 |
Journal | Discrete and Continuous Dynamical Systems |
Volume | 29 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Mar 2011 |
Keywords
- Hamiltonian system
- Heteroclinic orbit
- Riemannian manifold
- variational method