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Symplectic invariants for parabolic orbits and cusp singularities of integrable systems

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journal contribution
posted on 07.08.2018, 10:04 by Alexey Bolsinov, Lorenzo Guglielmi, Elena Kudryavtseva
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.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Philosophical Transactions A: Mathematical, Physical and Engineering Sciences

Citation

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, The

Version

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

16/07/2018

Publication date

2018-09-17

Notes

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.2017.0424

ISSN

1364-503X

Language

en

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