A note on focus-focus singularities

Mathematics – Dynamical Systems

Scientific paper

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old paper put here for archival purposes

Scientific paper

We give a topological and geometrical description of focus-focus
singularities of integrable Hamiltonian systems. In particular, we explain why
the monodromy around these singularities is non-trivial, a result obtained
before by J.J. Duistermaat and others for some concrete systems.

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