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

3 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

Access to Document

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

Fingerprint Dive into the research topics of 'Chini equations and isochronous centers in three-dimensional differential systems'. Together they form a unique fingerprint.

Cite this

@article{33cfe84cd63c4e60be24f47ed1fc661c,

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.",

keywords = "Abel equations, Chini equations, Isochronous centers, Limit cycles, Periodic orbits",

author = "Marc Chamberl and Armengol Gasull",

year = "2010",

month = jan,

day = "1",

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

language = "English",

volume = "9",

pages = "29--38",

journal = "Qualitative Theory of Dynamical Systems",

issn = "1575-5460",

publisher = "Springer Science + Business Media",

number = "1-2",

}

TY - JOUR

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

AU - Chamberl, Marc

AU - Gasull, Armengol

PY - 2010/1/1

Y1 - 2010/1/1

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

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

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

Access to Document

Other files and links

Cite this