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On the limit cycle distribution over two nests in quadratic systems

Published online by Cambridge University Press:  17 April 2009

Xianhua Huang  and
J.W. Reyn
Xianhua Huang
Affiliation:
Faculty of Technical Mathematics and InformaticsDelft University of TechnologyPO Box 50312600 GA DelftThe Netherlands
J.W. Reyn
Affiliation:
Faculty of Technical Mathematics and InformaticsDelft University of TechnologyPO Box 50312600 GA DelftThe Netherlands
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Abstract

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As a contribution to the solution of Hilbert's 16th problem the question is considered whether in a quadratic system with two nests of limit cycles at least in one nest there exists precisely one limit cycle. An affirmative answer to this question is given for the case that the sum of the multiplicities of the finite critical points in the system is equal to three.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 52 , Issue 3 , December 1995 , pp. 461 - 474
Copyright
Copyright © Australian Mathematical Society 1995

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