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Contact flows and integrable systems

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arxiv 1212.2918 v2 pith:STWJUC35 submitted 2012-12-12 math.SG nlin.SI

Bozidar Jovanovic , Vladimir Jovanovic This is my paper · ORCID
classification math.SGnlin.SI
keywords contactsystemsconsiderflowsintegrableinvariantarnold-liouvillebrieskorn
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We consider Hamiltonian systems restricted to the hypersurfaces of contact type and obtain a partial version of the Arnold-Liouville theorem: the system not need to be integrable on the whole phase space, while the invariant hypersurface is foliated on an invariant Lagrangian tori. In the second part of the paper we consider contact systems with constraints. As an example, the Reeb flows on Brieskorn manifolds are considered.

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  1. Contact line bundles, foliations, and integrability

    math.SG 2025-02 conditional novelty 6.0 of 10

    A line-bundle approach to contact integrability unifies cooriented and non-cooriented systems and covers dissipative contact Hamiltonians.

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