Hostname: page-component-cd9895bd7-fscjk Total loading time: 0 Render date: 2025-01-03T18:11:31.830Z Has data issue: false hasContentIssue false
  • English
  • Français

Study of limit cycles of an autonomous system of differential equations

Published online by Cambridge University Press:  17 April 2009

R.F. Matlak
Rights & Permissions [Opens in a new window]

Abstract

An abstract is not available for this content so a preview has been provided. As you have access to this content, a full PDF is available via the ‘Save PDF’ action button.
Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Abstracts of Australasian Ph.D. theses
Information
Bulletin of the Australian Mathematical Society , Volume 7 , Issue 2 , October 1972 , pp. 309 - 311
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Церкас, л.A. [ Čerkas, L.A.], “О предельных циклах одной автономной системы” [On the limit cycles of a certain autonomous system], Dokl. Akad. Nauk BSSR 6 (1962), 347–350.Google ScholarPubMed
[2]Coppel, W.A., “A survey of quadratic systems”, J. Differential Equations 2 (1966), 293–304.Google Scholar
[3]Darvey, I.G. and Matlak, R.F., “An investigation of a basic assumption in enzyme kinetics using results of the geometric theory of differential equations”, Bull. Math. Biophys. 29 (1967), 335–341.CrossRefGoogle ScholarPubMed
[4]Ильин, A.A. [Il'in, A.A.], “Н вопросу отыскания предельных циклов одной аѕтономной системы дифференчиальных уравнений” [On the question of finding the limit cycles of an autonomous system of differential equations], Izv. Vysš. Učebn. Zaved. Mat. 1 (1966), 64–65.Google ScholarPubMed
[5]Куклес, И.С., Шахова, Л.В. [Kukles, I.S., Šahova, L.V.], “Об отсутствии предельных чиклов для одного дифференциального Уравнения” [On the absence of limit cycles for a differential equation], Izv. Vysš. Učebn. Zaved. Mat. 3 (1967), 46–49.Google ScholarPubMed
[6]Matlak, R.F., “An autonomous system of differential equations in the plane”, Bull. Austral. Math. Soc. 1 (1969), 391–395.CrossRefGoogle Scholar