Action and Periodic Orbits of Area-Preserving Diffeomorphisms

Qu, Huadi; Xia, Zhihong  Jeff

doi:10.2139/ssrn.4539249

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Action and Periodic Orbits of Area-Preserving Diffeomorphisms

17 Pages Posted: 14 Aug 2023

See all articles by Huadi Qu

ABSTRACT. Westudyperiodicpointsforarea-preservingmapsonsurfaces,par- ticularly some global properties related to the action functional. We generalize recent works of Hutchings and Weiler , proving the existence of periodic orbits with certain action values.

Keywords: action function, annulus diffeomorphisms, periodic orbits

Suggested Citation: Suggested Citation

Qu, Huadi and Xia, Zhihong Jeff, Action and Periodic Orbits of Area-Preserving Diffeomorphisms. Available at SSRN: https://ssrn.com/abstract=4539249 or http://dx.doi.org/10.2139/ssrn.4539249