An iterated graph construction and periodic orbits of Hamiltonian delay equations
According to the Arnold conjectures and Floer's proofs, there are non-trivial lower bounds for the number of periodic solutions of Hamiltonian differential equations on a closed symplectic manifold whose symplectic form vanishes on spheres. We use an iterated graph construction and Lagrangian F...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
2019
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| In: |
Journal of differential equations
Year: 2018, Volume: 266, Issue: 5, Pages: 2466-2492 |
| ISSN: | 1090-2732 |
| DOI: | 10.1016/j.jde.2018.08.036 |
| Online Access: | Resolving-System, Volltext: http://dx.doi.org/10.1016/j.jde.2018.08.036 Verlag, Volltext: http://www.sciencedirect.com/science/article/pii/S0022039618304923 
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| Author Notes: | Peter Albers, Urs Frauenfelder, Felix Schlenk |
| Summary: | According to the Arnold conjectures and Floer's proofs, there are non-trivial lower bounds for the number of periodic solutions of Hamiltonian differential equations on a closed symplectic manifold whose symplectic form vanishes on spheres. We use an iterated graph construction and Lagrangian Floer homology to show that these lower bounds also hold for certain Hamiltonian delay equations. |
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| Item Description: | Available online 23 August 2018 Gesehen am 25.01.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1090-2732 |
| DOI: | 10.1016/j.jde.2018.08.036 |