Some applications of the extended Bendixson-Dulac theorem
Gasull, Armengol (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Giacomini, Hector (Université de Tours. Laboratoire de Mathématiques et Physique Théorique)

Imprint:	Cham, Switzerland: Springer, 2013
Description:	19 pàg.
Abstract:	During the last years the authors have studied the number of limit cycles of several families of planar vector fields. The common tool has been the use of an extended version of the celebrated Bendixson-Dulac Theorem. The aim of this work is to present an unified approach of some of these results, together with their corresponding proofs. We also provide several applications.
Grants:	Ministerio de Ciencia e Innovación MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Note:	Publicació amb motiu de Proceedings of the International Conference Dynamical Systems: 100 Years after Poincaré (September 2012, Gijón, Spain) amb el títol Progress and Challenges in Dynamical Systems
Rights:	Tots els drets reservats.
Language:	Anglès
Series:	Springer Proceedings in Mathematics & Statistics ; 54
Document:	Capítol de llibre ; Versió acceptada per publicar
Subject:	Periodic Orbit ; Function Versus ; Algebraic Curve ; Dulac Function ; Real Algebraic Curve
Published in:	Progress and Challenges in Dynamical Systems, 2013, p. 233-252, ISBN 978-3-642-38830-9

DOI: 10.1007/978-3-642-38830-9_14

Postprint 19 p, 209.8 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Books and collections > Book chapters