Uniform isochronous cubic and quartic centers: Revisited

Joan C. Artés; Jackson Itikawa; Jaume Llibre

doi:10.1016/j.cam.2016.09.018

Uniform isochronous cubic and quartic centers: Revisited

Joan C. Artés, Jackson Itikawa, Jaume Llibre

Department of Mathematics

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

3 Citations (Scopus)

Abstract

© 2016 Elsevier B.V. In this paper we completed the classification of the phase portraits in the Poincaré disc of uniform isochronous cubic and quartic centers previously studied by several authors. There are three and fourteen different topological phase portraits for the uniform isochronous cubic and quartic centers respectively.

Original language	English
Pages (from-to)	448-453
Journal	Journal of Computational and Applied Mathematics
Volume	313
DOIs	https://doi.org/10.1016/j.cam.2016.09.018
Publication status	Published - 15 Mar 2017

Keywords

Periodic orbit
Polynomial vector field
Uniform isochronous center

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title = "Uniform isochronous cubic and quartic centers: Revisited",

abstract = "{\textcopyright} 2016 Elsevier B.V. In this paper we completed the classification of the phase portraits in the Poincar{\'e} disc of uniform isochronous cubic and quartic centers previously studied by several authors. There are three and fourteen different topological phase portraits for the uniform isochronous cubic and quartic centers respectively.",

keywords = "Periodic orbit, Polynomial vector field, Uniform isochronous center",

author = "Art{\'e}s, {Joan C.} and Jackson Itikawa and Jaume Llibre",

year = "2017",

month = mar,

day = "15",

doi = "10.1016/j.cam.2016.09.018",

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pages = "448--453",

journal = "Journal of Computational and Applied Mathematics",

issn = "0377-0427",

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T1 - Uniform isochronous cubic and quartic centers: Revisited

AU - Artés, Joan C.

AU - Itikawa, Jackson

AU - Llibre, Jaume

PY - 2017/3/15

Y1 - 2017/3/15

N2 - © 2016 Elsevier B.V. In this paper we completed the classification of the phase portraits in the Poincaré disc of uniform isochronous cubic and quartic centers previously studied by several authors. There are three and fourteen different topological phase portraits for the uniform isochronous cubic and quartic centers respectively.

AB - © 2016 Elsevier B.V. In this paper we completed the classification of the phase portraits in the Poincaré disc of uniform isochronous cubic and quartic centers previously studied by several authors. There are three and fourteen different topological phase portraits for the uniform isochronous cubic and quartic centers respectively.

KW - Periodic orbit

KW - Polynomial vector field

KW - Uniform isochronous center

U2 - 10.1016/j.cam.2016.09.018

DO - 10.1016/j.cam.2016.09.018

M3 - Article

VL - 313

SP - 448

EP - 453

JO - Journal of Computational and Applied Mathematics

JF - Journal of Computational and Applied Mathematics

SN - 0377-0427

ER -