Periodic orbits and fixed points of a C1 orientation-preserving embedding of D2

Author:

Gambaudo J. M.

Abstract

AbstractWe prove that any periodic orbit O of a C1 orientation-preserving embedding f of the 2-disc D2 is linked with a fixed point P in the sense that the corresponding periodic orbits {Φt(O)}t ≥ 0 and {Φt(P)}t ≥ 0 of any torus flow Φt suspending f are linked as knots in S3.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference3 articles.

1. Unremovable closed orbits

2. The periodic structure of orientation preserving embeddings of the disk with entropy zero;Gambaudo;Ann. Inst. H. Poincaré Phys. Théor

3. On the geometry and dynamics of diffeomorphisms of surfaces

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