Numerical Computation of Hopf Bifurcation Points for Parabolic Diffusion-Reaction Differential Equations

DOI10.1137/0143070zbMath0548.35012OpenAlexW2050565936MaRDI QIDQ3341222

Dirk Roose, Vladimir Hlavacek

Publication date: 1983

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0143070

zbMATH Keywords

Richardson extrapolationcomputationfinite-difference discretizationHopf bifurcation pointsKubicek's methodparabolic diffusion-reaction partial differential equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Applications to the sciences (65Z05) Bifurcations in context of PDEs (35B32) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (5)

CALCULATION OF CRITICAL PARAMETERS FOR SPONTANEOUS COMBUSTION FOR SOME COMPLEX GEOMETRIES USING AN INDIRECT NUMERICAL METHOD ⋮ A projective direct method for the computation of hopf bifurcation points ⋮ Nonlinear/chaotic behaviour in thermo-acoustic instability ⋮ An algorithm for the computation of Hopf bifurcation points in comparison with other methods ⋮ A numerical approach to hopf bifurcation points

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