Non-convex Mather's theory and the Conley conjecture on the cotangent bundle of the torus
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2018
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| _version_ | 1866915688802680832 |
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| author | Viterbo, Claude |
| author_facet | Viterbo, Claude |
| contents | The aim of this paper is to use the methods and results of symplectic homogenization (see [V4]) to prove existence of periodic orbits and invariant measures with rotation number depending on the differential of the Homogenized Hamiltonian. We also prove the Conley conjecture on the cotangent bundle of the torus. Both proofs rely on Symplectic Homogenization and a refinement of it. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1807_09461 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Non-convex Mather's theory and the Conley conjecture on the cotangent bundle of the torus Viterbo, Claude Dynamical Systems Symplectic Geometry The aim of this paper is to use the methods and results of symplectic homogenization (see [V4]) to prove existence of periodic orbits and invariant measures with rotation number depending on the differential of the Homogenized Hamiltonian. We also prove the Conley conjecture on the cotangent bundle of the torus. Both proofs rely on Symplectic Homogenization and a refinement of it. |
| title | Non-convex Mather's theory and the Conley conjecture on the cotangent bundle of the torus |
| topic | Dynamical Systems Symplectic Geometry |
| url | https://arxiv.org/abs/1807.09461 |