Centers: their integrability and relations with the divergence

Jaume Llibre

doi:10.21042/AMNS.2016.1.00007

Centers: their integrability and relations with the divergence

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Resumen

This is a brief survey on the centers of the analytic differential systems in R^2. First we consider the kind of integrability of the different types of centers, and after we analyze the focus--center problem, i.e. how to distinguish a center from a focus. This is a difficult problem which is not completely solved. We shall present some recent results using the divergence of the differential system.

Idioma original	Inglés
Páginas (desde-hasta)	0079-86
Número de páginas	8
Publicación	Applied Mathematics and Nonlinear Sciences
Volumen	1
N.º	1
DOI	https://doi.org/10.21042/AMNS.2016.1.00007
Estado	Aceptada en prensa - 2016

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10.21042/AMNS.2016.1.00007

https://ddd.uab.cat/record/169477

Algunos aspectos de la dinamica global de los sistemas diferenciales: integrabilidad, soluciones periodicas y bifurcaciones
Llibre Salo, J. (Principal Investigator), Torregrosa i Arús, J. (Investigador/a Principal 2), Geyer , A. (Colaborador/a), Pérez González, S. (Colaborador/a), Artes Ferragud, J. C. (Investigador/a), Caubergh , M. M. (Investigador/a), Cima Mollet, A. M. (Investigador/a), Corbera Subirana, M. (Investigador/a), Cors Iglesias, J. M. (Investigador/a), Ferragut, A. (Investigador/a), Gasull Embid, A. (Investigador/a), Pantazi, C. (Investigador/a), Schlomiuk, D. (Investigador/a), Valls, C. (Investigador/a) & Vulpe, N. (Investigador/a)
Ministerio de Economía y Competitividad (MINECO)
1/01/14 → 31/12/17
Proyecto: Proyectos y Ayudas de Investigación

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title = "Centers: their integrability and relations with the divergence",

abstract = "This is a brief survey on the centers of the analytic differential systems in R^2. First we consider the kind of integrability of the different types of centers, and after we analyze the focus--center problem, i.e. how to distinguish a center from a focus. This is a difficult problem which is not completely solved. We shall present some recent results using the divergence of the differential system.",

keywords = "Center problem, Divergence, Integrability, Poincar{\'e}-Liapunov constants",

author = "Jaume Llibre",

year = "2016",

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KW - Center problem

KW - Divergence

KW - Integrability

KW - Poincaré-Liapunov constants

U2 - 10.21042/AMNS.2016.1.00007

DO - 10.21042/AMNS.2016.1.00007

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JO - Applied Mathematics and Nonlinear Sciences

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Centers: their integrability and relations with the divergence

Resumen

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Proyectos

Algunos aspectos de la dinamica global de los sistemas diferenciales: integrabilidad, soluciones periodicas y bifurcaciones

Citar esto