A convexity theorem for the period function T of Hamiltonian systems with separable variables is proved. We are interested in systems with a non-monotone T. The result is applied to prove the uniqueness of critical orbits in second order ODE's.
Period function's convexity for Hamiltonian centers with separable variables / Sabatini, Marco. - ELETTRONICO. - (2004), pp. 1-10.
Period function's convexity for Hamiltonian centers with separable variables
Sabatini, Marco
2004-01-01
Abstract
A convexity theorem for the period function T of Hamiltonian systems with separable variables is proved. We are interested in systems with a non-monotone T. The result is applied to prove the uniqueness of critical orbits in second order ODE's.File in questo prodotto:
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