Normal forms and hyperbolic algebraic limit cycles for a class of polynomial differential systems

Jaume Llibre; Claudia Valls

Normal forms and hyperbolic algebraic limit cycles for a class of polynomial differential systems

Jaume Llibre, Claudia Valls

Departament de Matemàtiques

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Resum

© 2018 Texas State University. We study the normal forms of polynomial systems having a set of invariant algebraic curves with singular points. We provide sufficient conditions for the existence of hyperbolic algebraic limit cycles.

Idioma original	Anglès
Número d’article	83
Revista	Electronic Journal of Differential Equations
Volum	2018
Estat de la publicació	Publicada - 31 de març 2018

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https://ddd.uab.cat/record/199329

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@article{88206b4ded5d441aa9e2269571ba6fea,

title = "Normal forms and hyperbolic algebraic limit cycles for a class of polynomial differential systems",

abstract = "{\textcopyright} 2018 Texas State University. We study the normal forms of polynomial systems having a set of invariant algebraic curves with singular points. We provide sufficient conditions for the existence of hyperbolic algebraic limit cycles.",

keywords = "Algebraic limit cycles, Limit cycles, Polynomial vector fields",

author = "Jaume Llibre and Claudia Valls",

year = "2018",

month = mar,

day = "31",

language = "English",

volume = "2018",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

}

TY - JOUR

T1 - Normal forms and hyperbolic algebraic limit cycles for a class of polynomial differential systems

AU - Llibre, Jaume

AU - Valls, Claudia

PY - 2018/3/31

Y1 - 2018/3/31

N2 - © 2018 Texas State University. We study the normal forms of polynomial systems having a set of invariant algebraic curves with singular points. We provide sufficient conditions for the existence of hyperbolic algebraic limit cycles.

AB - © 2018 Texas State University. We study the normal forms of polynomial systems having a set of invariant algebraic curves with singular points. We provide sufficient conditions for the existence of hyperbolic algebraic limit cycles.

KW - Algebraic limit cycles

KW - Limit cycles

KW - Polynomial vector fields

M3 - Article

SN - 1072-6691

VL - 2018

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

M1 - 83

ER -

Normal forms and hyperbolic algebraic limit cycles for a class of polynomial differential systems

Resum

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