Degenerate Hopf bifurcation in two dimensions

DOI10.1016/0362-546X(91)90051-2zbMath0735.34031OpenAlexW2072507792MaRDI QIDQ3980054

Robert E. Kooij, Viktor Kertész

Publication date: 26 June 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(91)90051-2

zbMATH Keywords

algorithmbifurcation analysisdegenerate Hopf bifurcationimplementation in MacsymaPoincaré-Lyapunov coefficientsreaction-kinetic model

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Classical flows, reactions, etc. in chemistry (92E20) Bifurcation theory for ordinary differential equations (34C23)

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Uses Software

• MACSYMA

Cites Work

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• Hopf's bifurcation theorem and the center theorem of Liapunov with resonance cases
• Attractivity and Hopf bifurcation