Numerical analysis of subspace-breaking Takens-Bogdanov points

DOI10.1093/IMANUM/15.2.265zbMath0826.65065OpenAlexW2077153301MaRDI QIDQ4838019

Petr Plecháč, Vladimir Janovský

Publication date: 26 November 1995

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/15.2.265

zbMATH Keywords

linear stabilityinvariant subspacenonhyperbolic equilibriadouble zero eigenvalueHopf pointsHopf curveLyapunov-Schmidt type reductionsnonlinear two-parameter systemssubspace breaking bifurcation pointsTakens-Bogdanov singularities

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17) Local and nonlocal bifurcation theory for dynamical systems (37G99)

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