The cyclicity of period annuli of some classes of reversible quadratic systems

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)157-177
Journal / PublicationDiscrete and Continuous Dynamical Systems
Volume16
Issue number1
Publication statusPublished - Sept 2006
Externally publishedYes

Link(s)

DOI

DOI
Check@CityULib
Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-33748576255&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(4eaa9f43-5f3b-4d18-9012-083bf8640c26).html

Abstract

The cyclicity of period annuli of some classes of reversible and non-Hamiltonian quadratic systems under quadratic perturbations are studied. The argument principle method and the centroid curve method are combined to prove that the related Abelian integral has at most two zeros.

Research Area(s)

  • Abelian integral, Limit cycle, Reversible systems

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Publication fingerprints text

100
curves INIS
100
hamiltonians INIS
100
perturbations INIS
100
Quadratic Systems Keyphrases
100
Period Annulus Keyphrases
100
Class Mathematics
50
Centroid Keyphrases
50
Non-hamiltonian Keyphrases
50
Argument Principle Keyphrases
50
Quadratic Perturbat... Keyphrases
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Citation Format(s)

[ RIS ] [ BibTeX ]
The cyclicity of period annuli of some classes of reversible quadratic systems. / Chen, G.; Li, C.; Liu, C. et al.
In: Discrete and Continuous Dynamical Systems, Vol. 16, No. 1, 09.2006, p. 157-177.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review