The first derivative of period function of a plane vector field.

Françoise, Jean-Pierre. "The first derivative of period function of a plane vector field.." Publicacions Matemàtiques 41.1 (1997): 127-134. <http://eudml.org/doc/41286>.

@article{Françoise1997,
abstract = {The algorithm of the successive derivatives introduced in [5] was implemented in [7], [8]. This algorithm is based on the existence of a decomposition of 1-forms associated to the relative cohomology of the Hamiltonian function which is perturbed. We explain here how the first step of this algorithm gives also the first derivative of the period function. This includes, for instance, new presentations of formulas obtained by Carmen Chicone and Marc Jacobs in [3].},
author = {Françoise, Jean-Pierre},
journal = {Publicacions Matemàtiques},
keywords = {Formas cuadráticas; Campos vectoriales; Sistemas diferenciales; Ecuaciones polinómicas; Teorema estabilidad; period coefficients; period functions; differential forms; Poincaré return map},
language = {eng},
number = {1},
pages = {127-134},
title = {The first derivative of period function of a plane vector field.},
url = {http://eudml.org/doc/41286},
volume = {41},
year = {1997},
}

TY - JOUR
AU - Françoise, Jean-Pierre
TI - The first derivative of period function of a plane vector field.
JO - Publicacions Matemàtiques
PY - 1997
VL - 41
IS - 1
SP - 127
EP - 134
AB - The algorithm of the successive derivatives introduced in [5] was implemented in [7], [8]. This algorithm is based on the existence of a decomposition of 1-forms associated to the relative cohomology of the Hamiltonian function which is perturbed. We explain here how the first step of this algorithm gives also the first derivative of the period function. This includes, for instance, new presentations of formulas obtained by Carmen Chicone and Marc Jacobs in [3].
LA - eng
KW - Formas cuadráticas; Campos vectoriales; Sistemas diferenciales; Ecuaciones polinómicas; Teorema estabilidad; period coefficients; period functions; differential forms; Poincaré return map
UR - http://eudml.org/doc/41286
ER -