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Bifurcation and stability of periodic solutions from a zero eigenvalue

Published online by Cambridge University Press:  17 February 2009

K. A. Landman
K. A. Landman
Affiliation:
Department of Mathematics, University of Melbourne, Parkville, Vic., 3052, Australia
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Abstract

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A study is made of the branching of time periodic solutions of a system of differential equations in R2 in the case of a double zero eigenvalue. It is shown that the solution need not be unique and the period of the solution is large. The stability of these solutions is analysed. Examples are given and generalizations to larger systems are discussed.

Type
Research Article
Information
The ANZIAM Journal , Volume 21 , Issue 1 , April 1979 , pp. 2 - 20
Copyright
Copyright © Australian Mathematical Society 1979

References

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