Non-existence of limit cycles via inverse integrating factors

Leonardo Laura-Guarachi; Osvaldo Osuna; Gabriel Villaseñor-Aguilar

Non-existence of limit cycles via inverse integrating factors

Leonardo Laura-Guarachi, Osvaldo Osuna, Gabriel Villaseñor-Aguilar

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

Abstract

It is known that if a planar differential systems has an inverse integrating factor, then all the limit cycles contained in the domain of definition of the inverse integrating factor are contained in the zero set of this function. Using this fact we give some criteria to rule out the existence of limit cycles. We also present some applications and examples that illustrate our results.

Original language	English
Pages (from-to)	1-6
Number of pages	6
Journal	Electronic Journal of Differential Equations
Volume	2011
State	Published - 2011
Externally published	Yes

Keywords

Algebraic set
Integrating factors
Inverse integrating factors
Limit cycles

Cite this

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title = "Non-existence of limit cycles via inverse integrating factors",

abstract = "It is known that if a planar differential systems has an inverse integrating factor, then all the limit cycles contained in the domain of definition of the inverse integrating factor are contained in the zero set of this function. Using this fact we give some criteria to rule out the existence of limit cycles. We also present some applications and examples that illustrate our results.",

keywords = "Algebraic set, Integrating factors, Inverse integrating factors, Limit cycles",

author = "Leonardo Laura-Guarachi and Osvaldo Osuna and Gabriel Villase{\~n}or-Aguilar",

year = "2011",

language = "Ingl{\'e}s",

volume = "2011",

pages = "1--6",

journal = "Electronic Journal of Differential Equations",

issn = "1072-6691",

publisher = "Texas State University - San Marcos",

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T1 - Non-existence of limit cycles via inverse integrating factors

AU - Laura-Guarachi, Leonardo

AU - Osuna, Osvaldo

AU - Villaseñor-Aguilar, Gabriel

PY - 2011

Y1 - 2011

N2 - It is known that if a planar differential systems has an inverse integrating factor, then all the limit cycles contained in the domain of definition of the inverse integrating factor are contained in the zero set of this function. Using this fact we give some criteria to rule out the existence of limit cycles. We also present some applications and examples that illustrate our results.

AB - It is known that if a planar differential systems has an inverse integrating factor, then all the limit cycles contained in the domain of definition of the inverse integrating factor are contained in the zero set of this function. Using this fact we give some criteria to rule out the existence of limit cycles. We also present some applications and examples that illustrate our results.

KW - Algebraic set

KW - Integrating factors

KW - Inverse integrating factors

KW - Limit cycles

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M3 - Artículo

SN - 1072-6691

VL - 2011

SP - 1

EP - 6

JO - Electronic Journal of Differential Equations

JF - Electronic Journal of Differential Equations

ER -

Non-existence of limit cycles via inverse integrating factors

Abstract

Keywords

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