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Periodic orbit for certain Hamiltonian on the tangent bundle

In this question a nontrivial periodic orbit is a periodic orbit which is not a singular point. Let $p: \mathbb{R}^n \to \mathbb{R}$ be a ...
Ali Taghavi's user avatar
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Geometric properties of solutions of Hamiltonian system

Context : We are interested in the following dynamic with state $(q,\varphi)$ $$ \dot q = \varepsilon F(q,\varphi), \quad \dot \varphi = \omega(q) + \varepsilon G(q,\varphi) $$ ($\varepsilon >0$ ...
Smilia's user avatar
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