Period function's convexity for Hamiltonian centers with separable variables

Sabatini, Marco (2004) Period function's convexity for Hamiltonian centers with separable variables. UNSPECIFIED. (Unpublished)

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    Abstract

    A convexity theorem for the period function T of Hamiltonian systems with separable variables is proved. We are interested in systems with a non-monotone T. The result is applied to prove the uniqueness of critical orbits in second order ODE's.

    Item Type: Departmental Technical Report
    Department or Research center: Mathematics
    Subjects: Q Science > QA Mathematics > QA299.6 Analysis
    Report Number: UTM 676, September 2004
    Repository staff approval on: 18 May 2005

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