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Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations
Charles Conley, Eduard Zehnder
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Source: Crossref
Published: Mar 1, 1984
DOI: 10.1002/cpa.3160370204
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Abstract An index theory for flows is presented which extends the classical Morse theory for gradient flows on compact manifolds. The theory is used to prove a Morse‐type existence statement for periodic solutions of a time‐dependent (periodic in time) and asymptotically linear Hamiltonian equation.
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