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Symplectic invariants for parabolic orbits and cusp singularities of integrable systems
journal contribution
posted on 2018-08-07, 10:04 authored by Alexey BolsinovAlexey Bolsinov, Lorenzo Guglielmi, Elena KudryavtsevaWe 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.
History
School
- Science
Department
- Mathematical Sciences
Published in
Philosophical Transactions A: Mathematical, Physical and Engineering SciencesCitation
BOLSINOV, A.V., GUGLIELMI, L. and KUDRYAVTSEVA, E., 2018. Symplectic invariants for parabolic orbits and cusp singularities of integrable systems. Philosophical Transactions A: Mathematical, Physical and Engineering Sciences, 376: 20170424.Publisher
Royal Society, TheVersion
- AM (Accepted Manuscript)
Publisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Acceptance date
2018-07-16Publication date
2018-09-17Notes
This paper was accepted for publication in the journal Philosophical Transactions A: Mathematical, Physical and Engineering Sciences and the definitive published version is available at https://doi.org/10.1098/rsta.2017.0424ISSN
1364-503XPublisher version
Language
- en