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

Christophe Golé
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Christophe Golé: Suny at Stony Brook

A chapter in Mathematical Physics X, 1992, pp 265-268 from Springer

Abstract: 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.

Keywords: Cotangent Bundle; Floquet Multiplier; Twist Condition; Canonical Symplectic Structure; Arnold Conjecture (search for similar items in EconPapers)
Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-77303-7_20

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DOI: 10.1007/978-3-642-77303-7_20

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