TY - JOUR T1 - Symplectic invariants for parabolic orbits and cusp singularities of integrable systems JF - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Y1 - 2018 A1 - Alexey Bolsinov A1 - Lorenzo Guglielmi A1 - Elena Kudryavtseva AB -

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’.

VL - 376 UR - https://royalsocietypublishing.org/doi/abs/10.1098/rsta.2017.0424 ER -