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Bifurcation from Simple Eigenvalues and Eigenvalues of Geometric Multiplicity One

Bifurcation from Simple Eigenvalues and Eigenvalues of Geometric Multiplicity One 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. 2000 Mathematics Subject Classification 58E07, 47J15, 37G10. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

Bifurcation from Simple Eigenvalues and Eigenvalues of Geometric Multiplicity One

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References (5)

Publisher
Wiley
Copyright
© London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/S002460930200108X
Publisher site
See Article on Publisher Site

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. 2000 Mathematics Subject Classification 58E07, 47J15, 37G10.

Journal

Bulletin of the London Mathematical Society – Wiley

Published: Sep 1, 2002

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