Monodromy and stability of a class of degenerate planar critical points

A. Gasull; V. Mañosa; F. Mañosas

doi:10.1006/jdeq.2001.4095

Monodromy and stability of a class of degenerate planar critical points

A. Gasull, V. Mañosa, F. Mañosas

Departament de Matemàtiques

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Resum

Necessary and also sufficient monodromy conditions for a large class of degenerate singular points of planar differential systems are given. For these systems, we also find a computable expression of the principal term of the asymptotic expansion of the return map, which gives the stability of the point. © 2002 Elsevier Science (USA).

Idioma original	Anglès
Pàgines (de-a)	169-190
Revista	Journal of Differential Equations
Volum	182
DOIs	https://doi.org/10.1006/jdeq.2001.4095
Estat de la publicació	Publicada - 10 de juny 2002

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10.1006/jdeq.2001.4095

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@article{f91b3244fd1e4fd793be47581ca87d6a,

title = "Monodromy and stability of a class of degenerate planar critical points",

abstract = "Necessary and also sufficient monodromy conditions for a large class of degenerate singular points of planar differential systems are given. For these systems, we also find a computable expression of the principal term of the asymptotic expansion of the return map, which gives the stability of the point. {\textcopyright} 2002 Elsevier Science (USA).",

keywords = "Blow-up procedure, Center focus problem, Degenerate critical point, Monodromy problem, Stability",

author = "A. Gasull and V. Ma{\~n}osa and F. Ma{\~n}osas",

year = "2002",

month = jun,

day = "10",

doi = "10.1006/jdeq.2001.4095",

language = "English",

volume = "182",

pages = "169--190",

journal = "Journal of Differential Equations",

issn = "0022-0396",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Monodromy and stability of a class of degenerate planar critical points

AU - Gasull, A.

AU - Mañosa, V.

AU - Mañosas, F.

PY - 2002/6/10

Y1 - 2002/6/10

N2 - Necessary and also sufficient monodromy conditions for a large class of degenerate singular points of planar differential systems are given. For these systems, we also find a computable expression of the principal term of the asymptotic expansion of the return map, which gives the stability of the point. © 2002 Elsevier Science (USA).

AB - Necessary and also sufficient monodromy conditions for a large class of degenerate singular points of planar differential systems are given. For these systems, we also find a computable expression of the principal term of the asymptotic expansion of the return map, which gives the stability of the point. © 2002 Elsevier Science (USA).

KW - Blow-up procedure

KW - Center focus problem

KW - Degenerate critical point

KW - Monodromy problem

KW - Stability

UR - https://www.scopus.com/pages/publications/0037053742

U2 - 10.1006/jdeq.2001.4095

DO - 10.1006/jdeq.2001.4095

M3 - Article

SN - 0022-0396

VL - 182

SP - 169

EP - 190

JO - Journal of Differential Equations

JF - Journal of Differential Equations

ER -

Monodromy and stability of a class of degenerate planar critical points

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