Direction of branches bifurcating at a bifurcation point. Determination of starting points for a continuation algorithm

DOI10.1016/0096-3003(83)90034-6zbMath0536.65032OpenAlexW2084334224MaRDI QIDQ792065

Milan Kubiček, Alois Klíč

Publication date: 1983

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(83)90034-6

zbMATH Keywords

parametercontinuation algorithmbifurcation pointdetermination of starting pointsdirection of branchesequilibrium phenomena

Mathematics Subject Classification ID

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

Related Items (2)

A numerical method for branch points of a system of nonlinear algebraic equations ⋮ DERPER - An algorithm for the continuation of periodic solutions in ordinary differential equations

Cites Work

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• Evaluation of branching points for nonlinear boundary-value problems based on the GPM technique
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• Evaluation of limit and bifurcation points for algebraic equations and nonlinear boundary-value problems
• Algorithm 502: Dependence of Solution of Nonlinear Systems on a Parameter [C5]
• Branching of Solutions of Nonlinear Equations

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