Objectes invariants en un pèndol pertorbat

Abstract

[en] The disturbed pendulum’s systems have some invariant objects, which in this project are studied in some cases. In order to do it, we start by understanding the Floquet’s theorem and some numerical methods for integrating differential equations. These notions are applied afterwards in pinpointing periodic orbits, studying its stability and, were that to happen, the invariant manifolds around them.