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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/34343

Title: Symplectic invariants for parabolic orbits and cusp singularities of integrable systems
Authors: Bolsinov, Alexey V.
Guglielmi, Lorenzo
Kudryavtseva, Elena
Issue Date: 2018
Publisher: Royal Society, The
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, In Press.
Abstract: 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.
Description: This paper is in closed access until it is published.
Version: Accepted for publication
DOI: 10.1098/rsta.2017.0424
URI: https://dspace.lboro.ac.uk/2134/34343
Publisher Link: https://doi.org/10.1098/rsta.2017.0424
ISSN: 1364-503X
Appears in Collections:Closed Access (Maths)

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