Symplectic invariants of integrable Hamiltonian systems

Abstract: Two integrable systems are called symplectically equivalent, if there exists a symplectic diffeomorphism between the corresponding phase spaces that sends Liouville tori of one system to those of the other. This review talk will be devoted to symplectic invariants of integrable systems, i.e. those which allow us to decide whether or not two given systems are symplectically equivalent. My goal will be to explain that in many cases such invariants can be reconstructed from action variables.

mathematical physicsanalysis of PDEsdynamical systems

Audience: researchers in the topic

Dynamical systems and PDEs

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