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Asymmetric bifurcation

Published online by Cambridge University Press:  17 February 2009

S. Rosenblat
S. Rosenblat
Affiliation:
Department of Mathematics, University of Melbourne, Parkville, Victoria 3052
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Abstract

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A study is made of a non-linear diffusion equation which admits bifurcating solutions in the case where the bifurcation is asymmetric. An analysis of the initial-value problem is made using the method of multiple scales, and the bifurcation and stability characteristics are determined. It is shown that a suitable interpretation of the results can lead to determination of the choice of the bifurcating solution adopted by the system.

Type
Research Article
Information
The ANZIAM Journal , Volume 21 , Issue 3 , January 1980 , pp. 297 - 304
Copyright
Copyright © Australian Mathematical Society 1980

References

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