New algorithms for the evaluation of complex bifurcation points in ordinary differential equations. A comparative numerical study

DOI10.1016/0096-3003(84)90005-5zbMath0566.65069OpenAlexW2069913441MaRDI QIDQ1059377

Martin Holodniok, Milan Kubiček

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0096-3003(84)90005-5

zbMATH Keywords

multiplicity of solutionsiterative methodsNumerical experimentsHopf bifurcation pointschemical reaction engineering

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Chemically reacting flows (80A32) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Ordinary differential operators (34L99)

Related Items (6)

Analytical search for bifurcation surfaces in parameter space ⋮ Algorithms for determination of period-doubling bifurcation points in ordinary differential equations ⋮ Determination of invariant tori bifurcation points ⋮ A method for the numerical computation of Hopf bifurcation ⋮ Numerical computation of periodic orbits that bifurcate from stationary solutions of ordinary differential equations ⋮ Nonlinear/chaotic behaviour in thermo-acoustic instability

Cites Work

• Unnamed Item
• Unnamed Item
• Numerical computation of periodic orbits that bifurcate from stationary solutions of ordinary differential equations
• Numerical solution of bifurcation problems for ordinary differential equations
• 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
• Numerical solution of Hopf bifurcation problems
• Algorithm for Evaluation of Complex Bifurcation Points in Ordinary Differential Equations
• Numerical computation of branch points in ordinary differential equations

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