Period function's convexity for Hamiltonian centers with separable variables
M. Sabatini
Annales Polonici Mathematici, Tome 85 (2005), p. 153-163 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:280490 
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     year = {2005},
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M. Sabatini. Period function's convexity for Hamiltonian centers with separable variables. Annales Polonici Mathematici, Tome 85 (2005) pp. 153-163. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap85-2-5/