Computing multiple pitchfork bifurcation points

DOI10.1007/BF02684441zbMath0890.65050OpenAlexW1968629662MaRDI QIDQ1377277

Gerd Poenisch, Uwe Schnabel, Hubert Schwetlick

Publication date: 6 July 1998

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02684441

zbMATH Keywords

singular pointsnumerical experimentsparameter dependent nonlinear equationpitchfork bifurcation pointLyapunov-Schmidt branching equationminimally extended systemstwo-stage Newton-type method

Mathematics Subject Classification ID

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

Related Items (2)

Computing multiple turning points by using simple extended systems and computational differentiation ⋮ Iterative computation of the smallest singular value and the corresponding singular vectors of a matrix.

Cites Work

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• Computing turning points of curves implicitly defined by nonlinear equations depending on a parameter
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• Computing hysteresis points of nonlinear equations depending on two parameters
• Characterization and Computation of Generalized Turning Points
• Minimally extended defining conditions for singularities of codim≤2
• A General View of Minimally Extended Systems for Simple Bifurcation Points
• BORDERED MATRICES AND SINGULARITIES OF LARGE NONLINEAR SYSTEMS

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