Computing simple bifurcation points using a minimally extended system of nonlinear equations

DOI10.1007/BF02240195zbMath0569.65041MaRDI QIDQ1060814

Gerd Poenisch

Publication date: 1985

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

Newton-like methodlocal convergencebifurcation pointsbranch pointsextended systemnonlinear parameterdependent equations

Mathematics Subject Classification ID

Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Related Items

A relation between Newton and Gauss-Newton steps for singular nonlinear equations, Computation of a simple bifurcation point using one singular value decomposition nearby, A numerical approximation for the simple bifurcation problems, Nonlinear computation, Computing multiple pitchfork bifurcation points, A note on computing simple bifurcation points, An efficient algorithm for a class of equality-constrained optimization problems, On a class of bifurcation test functions, Numerical Liapunov-Schmidt spectral method for \(k\)-determined problems, Minimally extended defining conditions for singularities of codim≤2, Splitting iteration method for simple singular points and simple bifurcation points, Multilevel methods for the approximation of singular solutions of completely continuous operator equations, Computing hysteresis points of nonlinear equations depending on two parameters, Nonlinear Computation

Cites Work

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• The Role of the Tangent Mapping in Analyzing Bifurcation Behaviour
• The numerical treatment of non-trivial bifurcation points