# HOMOCLINIC ORBITS FOR HAMILTONIAN SYSTEMS

• Kim, June-Gi (Department of Mathematics, Kangwon National University, Kangwon 200-701)
• Published : 1995.02.01

#### Abstract

Let $p, q \in R^2 and H : R^{2n} \to R^n$ be differentiable. An autonomous Hamiltonian system has the form $$(0.1) \dot{p} = -\frac{\partial q}{\partial H}(p, q), \dot{q} = \frac{\partial p}{\partial H}(p, q)$$.