Reversible nilpotent centers with cubic homogeneous nonlinearities

Maša Dukarić; Jaume Giné; Jaume Llibre

doi:https://doi.org/10.1016/j.jmaa.2015.07.049

Reversible nilpotent centers with cubic homogeneous nonlinearities

Maša Dukarić, Jaume Giné, Jaume Llibre

Department of Mathematics

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

1 Citation (Scopus)

Abstract

© 2015 Elsevier Inc. We provide 13 non-topological equivalent classes of global phase portraits in the Poincaré disk of reversible cubic homogeneous systems with a nilpotent center at origin, which complete the classification of the phase portraits of the nilpotent centers with cubic homogeneous nonlinearities.

Original language	English
Pages (from-to)	305-319
Journal	Journal of Mathematical Analysis and Applications
Volume	433
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2015.07.049
Publication status	Published - 1 Jan 2016

Keywords

Cubic polynomial differential systems
Nilpotent centers
Phase portrait
Two dimensional differential systems

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title = "Reversible nilpotent centers with cubic homogeneous nonlinearities",

abstract = "{\textcopyright} 2015 Elsevier Inc. We provide 13 non-topological equivalent classes of global phase portraits in the Poincar{\'e} disk of reversible cubic homogeneous systems with a nilpotent center at origin, which complete the classification of the phase portraits of the nilpotent centers with cubic homogeneous nonlinearities.",

keywords = "Cubic polynomial differential systems, Nilpotent centers, Phase portrait, Two dimensional differential systems",

author = "Ma{\v s}a Dukari{\'c} and Jaume Gin{\'e} and Jaume Llibre",

year = "2016",

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T1 - Reversible nilpotent centers with cubic homogeneous nonlinearities

AU - Dukarić, Maša

AU - Giné, Jaume

AU - Llibre, Jaume

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N2 - © 2015 Elsevier Inc. We provide 13 non-topological equivalent classes of global phase portraits in the Poincaré disk of reversible cubic homogeneous systems with a nilpotent center at origin, which complete the classification of the phase portraits of the nilpotent centers with cubic homogeneous nonlinearities.

AB - © 2015 Elsevier Inc. We provide 13 non-topological equivalent classes of global phase portraits in the Poincaré disk of reversible cubic homogeneous systems with a nilpotent center at origin, which complete the classification of the phase portraits of the nilpotent centers with cubic homogeneous nonlinearities.

KW - Cubic polynomial differential systems

KW - Nilpotent centers

KW - Phase portrait

KW - Two dimensional differential systems

UR - https://ddd.uab.cat/record/169469

U2 - https://doi.org/10.1016/j.jmaa.2015.07.049

DO - https://doi.org/10.1016/j.jmaa.2015.07.049

M3 - Article

VL - 433

SP - 305

EP - 319

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 1

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