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Symplectic invariants for parabolic orbits and cusp singularities of integrable systems

TitleSymplectic invariants for parabolic orbits and cusp singularities of integrable systems
Publication TypeJournal Article
Year of Publication2018
AuthorsBolsinov, A, Guglielmi, L, Kudryavtseva, E
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume376
Pagination20170424
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. This article is part of the theme issue ‘Finite dimensional integrable systems: new trends and methods’.

URLhttps://royalsocietypublishing.org/doi/abs/10.1098/rsta.2017.0424
DOI10.1098/rsta.2017.0424

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