Questions tagged [periodic-orbit]

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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 ...
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Is my ansatz for finding $n$-periodic-points of the exponential-function exhaustive?

The following is about getting help for a proof on existence and indexability of periodic points of the exponential-function, here with base $e:=\exp(1)$. Update The question is a complete rewriting ...
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Floquet theory and Poincaré theorem on the continuation of periodic orbit

I read about the Floquet theory and a theorem that it named Poincaré's theorem of the continuation of periodic orbit. Poincaré's Theorem: Consider a dynamical system depending on the parameter $\...