Periodic Solutions of Large Norm of Hamiltonian Systems.
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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Hamiltonian systems of ordinary differential equations model the motion of a discrete mechanical system. This paper considers a class of such systems assuming only suitably rapid growth for the Hamiltonian near infinity. Minimax and comparison arguments from the calculus of variations are then used to show that for any prescribed period, there exist arbitrarily large solutions of the system having the given period.
- Numerical Mathematics