Monotonicity of the period function for some planar differential systems. Part I: Conservative and quadratic systems

A. Raouf Chouikha. "Monotonicity of the period function for some planar differential systems. Part I: Conservative and quadratic systems." Applicationes Mathematicae 32.3 (2005): 305-325. <http://eudml.org/doc/279718>.

@article{A2005,
abstract = {We first examine conditions implying monotonicity of the period function for potential systems with a center at 0 (in the whole period annulus). We also present a short comparative survey of the different criteria. We apply these results to quadratic Loud systems $(L_\{D,F\})$ for various values of the parameters D and F. In the case of noncritical periods we propose an algorithm to test the monotonicity of the period function for $(L_\{D,F\})$. Our results may be viewed as a contribution to proving (or disproving) a conjecture of Chicone and Jacobs.},
author = {A. Raouf Chouikha},
journal = {Applicationes Mathematicae},
keywords = {conservative systems; Loud systems},
language = {eng},
number = {3},
pages = {305-325},
title = {Monotonicity of the period function for some planar differential systems. Part I: Conservative and quadratic systems},
url = {http://eudml.org/doc/279718},
volume = {32},
year = {2005},
}

TY - JOUR
AU - A. Raouf Chouikha
TI - Monotonicity of the period function for some planar differential systems. Part I: Conservative and quadratic systems
JO - Applicationes Mathematicae
PY - 2005
VL - 32
IS - 3
SP - 305
EP - 325
AB - We first examine conditions implying monotonicity of the period function for potential systems with a center at 0 (in the whole period annulus). We also present a short comparative survey of the different criteria. We apply these results to quadratic Loud systems $(L_{D,F})$ for various values of the parameters D and F. In the case of noncritical periods we propose an algorithm to test the monotonicity of the period function for $(L_{D,F})$. Our results may be viewed as a contribution to proving (or disproving) a conjecture of Chicone and Jacobs.
LA - eng
KW - conservative systems; Loud systems
UR - http://eudml.org/doc/279718
ER -