Bifurcation from Simple Eigenvalues and Eigenvalues of Geometric Multiplicity One |
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| Authors: | Dancer E N |
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| Institution: | School of Mathematics and Statistics, University of Sydney N.S.W. 2006, Australia normd{at}maths.usyd.edu.au |
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| Abstract: | A counterexample has been constructed to show that a conjecturedglobal solution structure for bifurcation of non-trivial solutionsfrom a simple eigenvalue of the linearization at zero reallycan occur. In addition, new results and counterexamples havebeen obtained for bifurcation from an eigenvalue of geometricmultiplicity 1 and odd algebraic multiplicity. 2000 MathematicsSubject Classification 58E07, 47J15, 37G10. |
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