On the numerical solution of some finite-dimensional bifurcation problems |
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Authors: | H Weber W Werner |
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Institution: | 1. Abt. Mathematik , Universit?t Dortmund , D-4600 Dortmund 50, Postfach, 500500, Germany;2. Fachbereich Mathematik , Johannes Gutenberg Universit?t , D-6500 Mainz, Saarstr, 21, Germany |
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Abstract: | We consider numerical methods for solving finite-dimensional bifurcation problems. This paper includes the case of branching from the trivial solution at simple and multiple eigenvalues and perturbed bifurcation at simple eigenvalues. As a numerical example we treat a special rod buckling problem, where the boundary value problem is discretized by the shooting method. |
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