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

Department of Mathematics

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

3 Citations (Scopus)

Abstract

© 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.

Original language	English
Article number	83
Journal	Electronic Journal of Differential Equations
Volume	2018
Publication status	Published - 31 Mar 2018

Keywords

Algebraic limit cycles
Limit cycles
Polynomial vector fields

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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",

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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

Abstract

Keywords

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