Phase portraits of uniform isochronous quartic centers

Jackson Itikawa; Jaume Llibre

doi:https://doi.org/10.1016/j.cam.2015.02.046

Phase portraits of uniform isochronous quartic centers

Jackson Itikawa, Jaume Llibre

Department of Mathematics

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

13 Citations (Scopus)

Abstract

© 2015 Elsevier B.V.All rights reserved.All rights reserved. In this paper we classify the global phase portraits in the Poincaré disc of all quartic polynomial differential systems with a uniform isochronous center at the origin such that their nonlinear part is not homogeneous.

Original language	English
Pages (from-to)	98-114
Journal	Journal of Computational and Applied Mathematics
Volume	287
DOIs	https://doi.org/10.1016/j.cam.2015.02.046
Publication status	Published - 15 Oct 2015

Keywords

Phase portrait
Polynomial vector field
Uniform isochronous center

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https://doi.org/10.1016/j.cam.2015.02.046

https://ddd.uab.cat/record/145315

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title = "Phase portraits of uniform isochronous quartic centers",

abstract = "{\textcopyright} 2015 Elsevier B.V.All rights reserved.All rights reserved. In this paper we classify the global phase portraits in the Poincar{\'e} disc of all quartic polynomial differential systems with a uniform isochronous center at the origin such that their nonlinear part is not homogeneous.",

keywords = "Phase portrait, Polynomial vector field, Uniform isochronous center",

author = "Jackson Itikawa and Jaume Llibre",

year = "2015",

month = oct,

day = "15",

doi = "https://doi.org/10.1016/j.cam.2015.02.046",

language = "English",

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pages = "98--114",

journal = "Journal of Computational and Applied Mathematics",

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T1 - Phase portraits of uniform isochronous quartic centers

AU - Itikawa, Jackson

AU - Llibre, Jaume

PY - 2015/10/15

Y1 - 2015/10/15

N2 - © 2015 Elsevier B.V.All rights reserved.All rights reserved. In this paper we classify the global phase portraits in the Poincaré disc of all quartic polynomial differential systems with a uniform isochronous center at the origin such that their nonlinear part is not homogeneous.

AB - © 2015 Elsevier B.V.All rights reserved.All rights reserved. In this paper we classify the global phase portraits in the Poincaré disc of all quartic polynomial differential systems with a uniform isochronous center at the origin such that their nonlinear part is not homogeneous.

KW - Phase portrait

KW - Polynomial vector field

KW - Uniform isochronous center

U2 - https://doi.org/10.1016/j.cam.2015.02.046

DO - https://doi.org/10.1016/j.cam.2015.02.046

M3 - Article

SN - 0377-0427

VL - 287

SP - 98

EP - 114

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

ER -

Phase portraits of uniform isochronous quartic centers

Abstract

Keywords

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