Reversible nilpotent centers with cubic homogeneous nonlinearities

Maša Dukarić; Jaume Giné; Jaume Llibre

doi:10.1016/j.jmaa.2015.07.049

Reversible nilpotent centers with cubic homogeneous nonlinearities

Maša Dukarić, Jaume Giné, Jaume Llibre

Departament de Matemàtiques

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Resum

© 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.

Idioma original	Anglès
Pàgines (de-a)	305-319
Revista	Journal of Mathematical Analysis and Applications
Volum	433
Número	1
DOIs	https://doi.org/10.1016/j.jmaa.2015.07.049
Estat de la publicació	Publicada - 1 de gen. 2016

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10.1016/j.jmaa.2015.07.049

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

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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",

month = jan,

day = "1",

doi = "10.1016/j.jmaa.2015.07.049",

language = "English",

volume = "433",

pages = "305--319",

journal = "Journal of Mathematical Analysis and Applications",

issn = "0022-247X",

publisher = "Academic Press Inc.",

number = "1",

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TY - JOUR

T1 - Reversible nilpotent centers with cubic homogeneous nonlinearities

AU - Dukarić, Maša

AU - Giné, Jaume

AU - Llibre, Jaume

PY - 2016/1/1

Y1 - 2016/1/1

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

U2 - 10.1016/j.jmaa.2015.07.049

DO - 10.1016/j.jmaa.2015.07.049

M3 - Article

SN - 0022-247X

VL - 433

SP - 305

EP - 319

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Reversible nilpotent centers with cubic homogeneous nonlinearities

Resum

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