Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 32 Issue 1
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- Pages.1-11
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- 1995
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
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 $$ (0.1) \dot{p} = -\frac{\partial q}{\partial H}(p, q), \dot{q} = \frac{\partial p}{\partial H}(p, q) $$.
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