Chini equations and isochronous centers in three-dimensional differential systems

Marc Chamberl; Armengol Gasull

doi:https://doi.org/10.1007/s12346-010-0019-4

Chini equations and isochronous centers in three-dimensional differential systems

Marc Chamberl, Armengol Gasull

Department of Mathematics

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

4 Citations (Scopus)

Abstract

We study the number of limit cycles of T -periodic Chini equations and some generalized Abel equations and apply the results obtained to illustrate the existence of isochronous centers in three-dimensional autonomous differential systems. © Springer Basel AG 2010.

Original language	English
Pages (from-to)	29-38
Journal	Qualitative Theory of Dynamical Systems
Volume	9
Issue number	1-2
DOIs	https://doi.org/10.1007/s12346-010-0019-4
Publication status	Published - 1 Jan 2010

Keywords

Abel equations
Chini equations
Isochronous centers
Limit cycles
Periodic orbits

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https://ddd.uab.cat/record/226101

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title = "Chini equations and isochronous centers in three-dimensional differential systems",

abstract = "We study the number of limit cycles of T -periodic Chini equations and some generalized Abel equations and apply the results obtained to illustrate the existence of isochronous centers in three-dimensional autonomous differential systems. {\textcopyright} Springer Basel AG 2010.",

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author = "Marc Chamberl and Armengol Gasull",

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T1 - Chini equations and isochronous centers in three-dimensional differential systems

AU - Chamberl, Marc

AU - Gasull, Armengol

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N2 - We study the number of limit cycles of T -periodic Chini equations and some generalized Abel equations and apply the results obtained to illustrate the existence of isochronous centers in three-dimensional autonomous differential systems. © Springer Basel AG 2010.

AB - We study the number of limit cycles of T -periodic Chini equations and some generalized Abel equations and apply the results obtained to illustrate the existence of isochronous centers in three-dimensional autonomous differential systems. © Springer Basel AG 2010.

KW - Abel equations

KW - Chini equations

KW - Isochronous centers

KW - Limit cycles

KW - Periodic orbits

U2 - https://doi.org/10.1007/s12346-010-0019-4

DO - https://doi.org/10.1007/s12346-010-0019-4

M3 - Article

VL - 9

SP - 29

EP - 38

JO - Qualitative Theory of Dynamical Systems

JF - Qualitative Theory of Dynamical Systems

SN - 1575-5460

IS - 1-2

ER -

Chini equations and isochronous centers in three-dimensional differential systems

Abstract

Keywords

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