Period function's convexity for Hamiltonian centers with separable variables
Volume 85 / 2005
Annales Polonici Mathematici 85 (2005), 153-163
MSC: 34C05, 34C07.
DOI: 10.4064/ap85-2-5
Abstract
A convexity theorem for the period function $T$ of Hamiltonian systems with separable variables is proved. We are interested in systems with non-monotone $T$. This result is applied to proving the uniqueness of critical orbits for second order ODE's.
