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

Publicacions Matemàtiques (1997)

- Volume: 41, Issue: 1, page 127-134
- ISSN: 0214-1493

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topFrançoise, 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 -

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