New advances on the Lyapunov constants of some families of planar differential systems
Sanchez Sanchez, Ivan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Torregrosa, Joan (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Imprint:	Cham, etc : Birkhäuser, cop. 2019
Description:	7 pàg.
Abstract:	This note presents some advances regarding the Lyapunov constants of some families of planar polynomial differential systems, as a first step toward the resolution of the center and cyclicity problems. First, a parallelization approach is computationally implemented to achieve the 14th Lyapunov constant of the complete cubic family. Second, a technique based on interpolating some specific quantities so as to reconstruct the structure of the Lyapunov constants is used to study a Kukles system, some fifth-degree homogeneous systems, and a quartic system with two invariant lines.
Grants:	Ministerio de Economía y Competitividad MTM2016-77278-P Ministerio de Economía y Competitividad FPU16/04317 Agència de Gestió d'Ajuts Universitaris i de Recerca 2017/SGR-1617
Rights:	Tots els drets reservats.
Language:	Anglès
Series:	Trends in mathematics. Research perspectives CRM Barcelona ; 11
Document:	Capítol de llibre ; recerca ; Versió acceptada per publicar
Published in:	Extended abstracts Spring 2018 : singularly perturbed systems, multiscale phenomena and hysteresis: theory and applications, 2019, p. 161-167, ISBN 9783030252601

DOI: 10.1007/978-3-030-25261-8_25

Post-print 5 p, 227.7 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