Symplectic invariants for parabolic orbits and cusp singularities of integrable systems
journal contributionposted on 07.08.2018 by Alexey Bolsinov, Lorenzo Guglielmi, Elena Kudryavtseva
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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.
- Mathematical Sciences