First derivative of the period function with applications

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Título:	First derivative of the period function with applications
Autor/a:	Freire, Emilio; Gasull Embid, Armengol; Guillamon Grabolosa, Antoni
Otros autores:	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I; Universitat Politècnica de Catalunya. EGSA - Equacions Diferencials, Geometria, Sistemes Dinàmics i de Control, i Aplicacions
Abstract:	Given a centre of a planar differential system, we extend the use of the Lie bracket to the determination of the monotonicity character of the period function. As far as we know, there are no general methods to study this function, and the use of commutators and Lie bracket was restricted to prove isochronicity. We give several examples and a special method which simplifies the computations when a first integral is known.
Materia(s):	-Differential equations -period function -Equacions diferencials ordinàries -Classificació AMS::37 Dynamical systems and ergodic theory::37C Smooth dynamical systems: general theory -Classificació AMS::34 Ordinary differential equations::34A General theory -Classificació AMS::34 Ordinary differential equations::34C Qualitative theory
Derechos:	Attribution-NonCommercial-NoDerivs 2.5 Spain http://creativecommons.org/licenses/by-nc-nd/2.5/es/
Tipo de documento:	Artículo
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