Divergence and Poincaré-Liapunov constants for analytic differential systems

Maite Grau; Jaume Llibre

doi:10.1016/j.jde.2015.01.035

Divergence and Poincaré-Liapunov constants for analytic differential systems

Maite Grau, Jaume Llibre

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

3 Citations (Scopus)

Abstract

© 2015 Elsevier Inc. We consider a planar autonomous real analytic differential system with a monodromic singular point p. We deal with the center problem for the singular point p. Our aim is to highlight some relations between the divergence of the system and the Poincaré-Liapunov constants of p when these are defined.

Original language	English
Pages (from-to)	4348-4367
Journal	Journal of Differential Equations
Volume	258
Issue number	12
DOIs	https://doi.org/10.1016/j.jde.2015.01.035
Publication status	Published - 1 Jan 2015

Keywords

Center problem
Divergence
Hamiltonian
Poincaré-Liapunov constants

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10.1016/j.jde.2015.01.035

https://ddd.uab.cat/record/145293

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title = "Divergence and Poincar{\'e}-Liapunov constants for analytic differential systems",

abstract = "{\textcopyright} 2015 Elsevier Inc. We consider a planar autonomous real analytic differential system with a monodromic singular point p. We deal with the center problem for the singular point p. Our aim is to highlight some relations between the divergence of the system and the Poincar{\'e}-Liapunov constants of p when these are defined.",

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

author = "Maite Grau and Jaume Llibre",

year = "2015",

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doi = "10.1016/j.jde.2015.01.035",

language = "English",

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journal = "Journal of Differential Equations",

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T1 - Divergence and Poincaré-Liapunov constants for analytic differential systems

AU - Grau, Maite

AU - Llibre, Jaume

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N2 - © 2015 Elsevier Inc. We consider a planar autonomous real analytic differential system with a monodromic singular point p. We deal with the center problem for the singular point p. Our aim is to highlight some relations between the divergence of the system and the Poincaré-Liapunov constants of p when these are defined.

AB - © 2015 Elsevier Inc. We consider a planar autonomous real analytic differential system with a monodromic singular point p. We deal with the center problem for the singular point p. Our aim is to highlight some relations between the divergence of the system and the Poincaré-Liapunov constants of p when these are defined.

KW - Center problem

KW - Divergence

KW - Hamiltonian

KW - Poincaré-Liapunov constants

U2 - 10.1016/j.jde.2015.01.035

DO - 10.1016/j.jde.2015.01.035

M3 - Article

SN - 0022-0396

VL - 258

SP - 4348

EP - 4367

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 12

ER -

Divergence and Poincaré-Liapunov constants for analytic differential systems

Abstract

Keywords

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