Computation of Hopf Bifurcation with Bordered Matrices

DOI10.1137/0733023zbMath0856.65092OpenAlexW2056702564MaRDI QIDQ4880218

Bodo Werner

Publication date: 24 February 1997

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

Full work available at URL: https://doi.org/10.1137/0733023

zbMATH Keywords

dynamical systemsnumerical examplesHopf bifurcationNewton-like methodreaction-diffusion equationssteady-state bifurcationsHopf pointprey-predator systemHopf numbereutrophication modelHopf curveHopf eigenvaluesHopf matrixTakens-Bogdanov matrices

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17) Numerical solution of eigenvalue problems involving ordinary differential equations (65L15) Dynamical systems with hyperbolic behavior (37D99)

Related Items (7)

Analytical search for bifurcation surfaces in parameter space ⋮ Rank-deficient matrices as a computational tool ⋮ Analysis of Takens-Bogdanov bifurcation by characteristic functions ⋮ Various closeness results in discretized bifurcations ⋮ Discretizing dynamical systems with generalized Hopf bifurcations ⋮ Revealing instabilities in a generalized triadic supply network: A bifurcation analysis ⋮ A numerical approach to hopf bifurcation points

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