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

Department of Mathematics

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

30 Citations (Scopus)

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. © 1995 Academic Press, Inc.

Original language	English
Pages (from-to)	921-937
Journal	Journal of Mathematical Analysis and Applications
Volume	196
DOIs	https://doi.org/10.1006/jmaa.1995.1451
Publication status	Published - 15 Dec 1995

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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.",

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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.

UR - https://www.scopus.com/pages/publications/0001742325

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DO - 10.1006/jmaa.1995.1451

M3 - Article

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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

Abstract

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