Periodic Solutions of a Hamiltonian System on a Prescribed Energy Surface.
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WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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Hamiltons equations are basic in the study of theoretical mechanics. A particular class of motions of interest for are periodic ones. For Hamiltonians which are of the form H9p,q Kp,q Vq, we give sufficient conditions for the kinetic and potential energies K and V to satisfy so that possesses a periodic orbit on a prescribed energy surface.
- Numerical Mathematics
- Quantum Theory and Relativity