Symplectic invariants for parabolic orbits and cusp singularities of integrable systems with two degrees of freedom
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2018
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| _version_ | 1866909615273279488 |
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| author | Bolsinov, Alexey Guglielmi, Lorenzo Kudryavtseva, Elena |
| author_facet | Bolsinov, Alexey Guglielmi, Lorenzo Kudryavtseva, Elena |
| contents | We discuss normal forms and symplectic invariants of parabolic orbits and cuspidal tori in integrable Hamiltonian systems with two degrees of freedom. Such singularities appear in many integrable systems in geometry and mathematical physics and can be considered as the simplest example of degenerate singularities. We also suggest some new techniques which apparently can be used for studying symplectic invariants of degenerate singularities of more general type. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1802_09910 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | Symplectic invariants for parabolic orbits and cusp singularities of integrable systems with two degrees of freedom Bolsinov, Alexey Guglielmi, Lorenzo Kudryavtseva, Elena Symplectic Geometry Differential Geometry Dynamical Systems 53D12, 53D20, 37J35, 70H06 We discuss normal forms and symplectic invariants of parabolic orbits and cuspidal tori in integrable Hamiltonian systems with two degrees of freedom. Such singularities appear in many integrable systems in geometry and mathematical physics and can be considered as the simplest example of degenerate singularities. We also suggest some new techniques which apparently can be used for studying symplectic invariants of degenerate singularities of more general type. |
| title | Symplectic invariants for parabolic orbits and cusp singularities of integrable systems with two degrees of freedom |
| topic | Symplectic Geometry Differential Geometry Dynamical Systems 53D12, 53D20, 37J35, 70H06 |
| url | https://arxiv.org/abs/1802.09910 |