Integrable Hamiltonian Systems: Geometry, Topology, Classification

By Alexey Bolsinov, A. Fomenko. 2004

446 citations recorded by the source corpus.

Subfields: Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/bb52edd9806da17fb21af11a24d315e8e3f0cc28

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1. A. Oshemkov
2. Alexey Bolsinov

Citations in the corpus

• Bi-Hamiltonian structures and singularities of integrable systems (2009, background): “It is not hard to generalize this definition to the case of arbitrary rank of dΦ(x) (see, for example, [19, 20]).”
• Symplectic theory of completely integrable Hamiltonian systems (2011, unknown): “, fn) : M → R by the Fomenko school [12]: the Fomenko school has developed powerful and far-reaching methods to study the topology of singularities of integrable systems.”