Hostname: page-component-848d4c4894-pftt2 Total loading time: 0 Render date: 2024-06-01T01:10:28.355Z Has data issue: false hasContentIssue false
  • English
  • Français

Non-coprime quadratic systems

Published online by Cambridge University Press:  17 April 2009

W. A. Coppel
W. A. Coppel
Affiliation:
Department of Theoretical Physics, Institute of Advanced Studies, Australian National University, Canberra ACT 0200, Australia
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A recent result of Huang and Reyn on quadratic systems is reformulated and given a clearer proof.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 53 , Issue 1 , February 1996 , pp. 83 - 90
Copyright
Copyright © Australian Mathematical Society 1996

References

[1]Chen, L.S. and Wang, M.S., ‘The relative position and number of limit cycles of a quadratic differential systems’, (Chinese), Acta Math. Sinica 22 (1979), 751–758.Google Scholar
[2]Coppel, W.A., ‘A survey of quadratic systems’, J. Differential Equations 2 (1966), 293–304.CrossRefGoogle Scholar
[3]Coppel, W.A., ‘Some quadratic systems with at most one limit cycle’, Dynam. Report. 2 (1989), 61–88.CrossRefGoogle Scholar
[4]Hung, X. and Reyn, J.W., ‘On the distribution of limit cycles in quadratic systems with finite multiplicity three’, Delft University of Technology, Faculty of Technical Mathematics and Informatics, Report 94–109, (1994).Google Scholar
[5]Žilevič, L.I., ‘The separatrices and limit cycles of certain differential equations’, (Russian), Differentsial'nye Uravnenija 7 (1971), 782–790.Google Scholar
[6]Žilevič, L.I., ‘On the question of separatrices and limit cycles of a certain differential equation’, (Russian), Differentsial'nye Uravnenija 7 (1971), 1525–1527.Google Scholar