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BIFURCATION FROM SIMPLE EIGENVALUES AND EIGENVALUES OF GEOMETRIC MULTIPLICITY ONE

Published online by Cambridge University Press:  24 March 2003

E. N. DANCER
E. N. DANCER
Affiliation:
School of Mathematics and Statistics, University of Sydney, N.S.W. 2006, Australianormd@maths.usyd.edu.au
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Abstract

A counterexample has been constructed to show that a conjectured global solution structure for bifurcation of non-trivial solutions from a simple eigenvalue of the linearization at zero really can occur. In addition, new results and counterexamples have been obtained for bifurcation from an eigenvalue of geometric multiplicity 1 and odd algebraic multiplicity.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 34 , Issue 5 , September 2002 , pp. 533 - 538
Copyright
© The London Mathematical Society 2002

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