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Symplectic Twist Maps and the Theorem of Conley-Zehnder for General Cotangent Bundles

In: Mathematical Physics X

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  • Christophe Golé

    (Suny at Stony Brook)

Abstract

We announce the existence and multiplicity of periodic orbits for time dependent Hamiltonian systems on cotangent bundle of arbitrary compact manifolds. We discretize the variational problem by decomposing the time 1 map into a product of symplectic twist maps.

Suggested Citation

  • Christophe Golé, 1992. "Symplectic Twist Maps and the Theorem of Conley-Zehnder for General Cotangent Bundles," Springer Books, in: Konrad Schmüdgen (ed.), Mathematical Physics X, pages 265-268, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-77303-7_20
    DOI: 10.1007/978-3-642-77303-7_20
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