Periodic solutions of large norm of Hamiltonian systems |
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Authors: | Paul H Rabinowitz |
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Institution: | Department of Mathematics, University of Wisconsin, Madison, Wisconsin 53706 USA |
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Abstract: | Hamiltonian systems of ordinary differential equations are studied. The only assumption made on the Hamiltonian is appropriately rapid growth at infinity. It is proved that for any given period, there is an unbounded sequence of periodic solutions of the system having the given period. |
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