Hamiltonian delay equations -- examples and a lower bound for the number of periodic solutions

DOI10.1016/j.aim.2020.107319zbMath1451.34088arXiv1802.07453OpenAlexW3046556177MaRDI QIDQ2196624

Felix Schlenk, Peter Albers, Urs Adrian Frauenfelder

Publication date: 3 September 2020

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.07453

zbMATH Keywords

periodic orbitsdelay equationHamiltonian systemaction functionalArnold conjecture

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Periodic solutions to functional-differential equations (34K13) Symplectic aspects of Floer homology and cohomology (53D40) Periodic, homoclinic and heteroclinic orbits of finite-dimensional Hamiltonian systems (37J46)

Related Items (6)

The regularized free fall. I: Index computations ⋮ Helium and Hamiltonian delay equations ⋮ Branches of forced oscillations induced by a delayed periodic force ⋮ A compactness result for non-local unregularized gradient flow lines ⋮ Periodic delay orbits and the polyfold implicit function theorem ⋮ A compactness theorem for Frozen planets

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