Period function's convexity for Hamiltonian centers with separable variables

M. Sabatini. "Period function's convexity for Hamiltonian centers with separable variables." Annales Polonici Mathematici 85.2 (2005): 153-163. <http://eudml.org/doc/280490>.

@article{M2005,
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.},
author = {M. Sabatini},
journal = {Annales Polonici Mathematici},
keywords = {center; period function; convexity; critical orbit},
language = {eng},
number = {2},
pages = {153-163},
title = {Period function's convexity for Hamiltonian centers with separable variables},
url = {http://eudml.org/doc/280490},
volume = {85},
year = {2005},
}

TY - JOUR
AU - M. Sabatini
TI - Period function's convexity for Hamiltonian centers with separable variables
JO - Annales Polonici Mathematici
PY - 2005
VL - 85
IS - 2
SP - 153
EP - 163
AB - 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.
LA - eng
KW - center; period function; convexity; critical orbit
UR - http://eudml.org/doc/280490
ER -