Cyclicity of a Family of Vector Fields

Anna Cima; Armengol Gasull; Francesc Mañosas

doi:10.1006/jmaa.1995.1451

Cyclicity of a Family of Vector Fields

Anna Cima, Armengol Gasull, Francesc Mañosas

Departament de Matemàtiques

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Resum

We study the cyclicity and the center problem for a special family of planar differential equations. We also relate this cyclicity With the maximum number of limit cycles that bifurcate from a hamiltonian vector field. Afterwards we apply the result obtained to several known types of differential equations. © 1995 Academic Press, Inc.

Idioma original	Anglès
Pàgines (de-a)	921-937
Revista	Journal of Mathematical Analysis and Applications
Volum	196
DOIs	https://doi.org/10.1006/jmaa.1995.1451
Estat de la publicació	Publicada - 15 de des. 1995

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10.1006/jmaa.1995.1451

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title = "Cyclicity of a Family of Vector Fields",

abstract = "We study the cyclicity and the center problem for a special family of planar differential equations. We also relate this cyclicity With the maximum number of limit cycles that bifurcate from a hamiltonian vector field. Afterwards we apply the result obtained to several known types of differential equations. {\textcopyright} 1995 Academic Press, Inc.",

author = "Anna Cima and Armengol Gasull and Francesc Ma{\~n}osas",

year = "1995",

month = dec,

day = "15",

doi = "10.1006/jmaa.1995.1451",

language = "English",

volume = "196",

pages = "921--937",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

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TY - JOUR

T1 - Cyclicity of a Family of Vector Fields

AU - Cima, Anna

AU - Gasull, Armengol

AU - Mañosas, Francesc

PY - 1995/12/15

Y1 - 1995/12/15

N2 - We study the cyclicity and the center problem for a special family of planar differential equations. We also relate this cyclicity With the maximum number of limit cycles that bifurcate from a hamiltonian vector field. Afterwards we apply the result obtained to several known types of differential equations. © 1995 Academic Press, Inc.

AB - We study the cyclicity and the center problem for a special family of planar differential equations. We also relate this cyclicity With the maximum number of limit cycles that bifurcate from a hamiltonian vector field. Afterwards we apply the result obtained to several known types of differential equations. © 1995 Academic Press, Inc.

U2 - 10.1006/jmaa.1995.1451

DO - 10.1006/jmaa.1995.1451

M3 - Article

SN - 0022-247X

VL - 196

SP - 921

EP - 937

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

ER -

Cyclicity of a Family of Vector Fields

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