Computation of Takens–Bogdanov Type Bifurcations with Arbitrary Codimension

DOI10.1137/0730058zbMath0780.65037OpenAlexW2053373157MaRDI QIDQ3136565

Willy Govaerts

Publication date: 18 October 1993

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0730058

zbMATH Keywords

dynamical systemsTakens-Bogdanov type bifurcationtrimolecular Brusselator reaction scheme

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Nonlinear systems in control theory (93C10) Control/observation systems governed by ordinary differential equations (93C15) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

Related Items

Solution of bordered singular systems in numerical continuation and bifurcation ⋮ Defining functions for manifolds of matrices ⋮ Analysis on Takens-Bogdanov points for delay differential equations ⋮ Analysis of Takens-Bogdanov bifurcation by characteristic functions ⋮ Numerical Liapunov-Schmidt spectral method for \(k\)-determined problems ⋮ Various closeness results in discretized bifurcations ⋮ Bifurcations and global dynamics in a predator-prey model with a strong Allee effect on the prey, and a ratio-dependent functional response

Uses Software

• PITCON