In mathematics, Pugh's closing lemma is a result that links periodic orbit solutions of differential equations to chaotic behaviour. It can be formally stated as follows:
- Let be a diffeomorphism of a compact smooth manifold . Given a nonwandering point of, there exists a diffeomorphism arbitrarily close to in the topology of such that is a periodic point of .
Read more about Pugh's Closing Lemma: Interpretation, See Also
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