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Hopf bifurcation at multiple eigenvalues with zero eigenvalue

Published online by Cambridge University Press:  14 November 2011

J. López-Gómez
J. López-Gómez
Affiliation:
Departamento de Ecuaciones Funcionales, Universidad Complutense de Madrid, 28040 Madrid, Spain
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Synopsis

We give local results related to Hopf bifurcation for parabolic equations. The linear part about the equilibrium point can have zero eigenvalues. In our results the information about the perturbation is essential and it is possible to obtain bifurcation even if some ‘i’ or zero remains on the imaginary axis for all values of the parameter.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 101 , Issue 3-4 , 1985 , pp. 335 - 352
Copyright
Copyright © Royal Society of Edinburgh 1985

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