An indirect method for computing origins for Hopf bifurcation in two- parameter problems

DOI10.1007/BF02257776zbMath0737.65044MaRDI QIDQ1179550

Gerd Poenisch

Publication date: 26 June 1992

Published in: Computing (Search for Journal in Brave)

zbMATH Keywords

algorithmnumerical examplesHopf bifurcationNewton-like methodturning pointssuperlinear convergenceindirect methodBT-pointchemical exothermic reactiontwo-parameter problem

Mathematics Subject Classification ID

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

Related Items (2)

Finding nondegenerate Hopf bifurcation points for four-dimensional two-parametric systems ⋮ Hopf Bifurcations of Bi-Parameter Ordinary Differential Systems

Cites Work

• Interaction between fold and Hopf curves leads to new bifurcation phenomena
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Zur Lösung parameterabhängiger nichtlinearer Gleichungen mit singulären Jacobi-Matrizen
• Computing turning points of curves implicitly defined by nonlinear equations depending on a parameter
• A locally parameterized continuation process
• Folds in Solutions of Two Parameter Systems and Their Calculation. Part I
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