Discretizing dynamical systems with generalized Hopf bifurcations

DOI10.1007/s00211-010-0340-5zbMath1219.65155OpenAlexW1991272193MaRDI QIDQ543350

Joseph Páez Chávez

Publication date: 17 June 2011

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-010-0340-5

zbMATH Keywords

numerical exampleHopf bifurcationgeneral one-step methodsgeneralized bifurcationLyapunov coefficientsmodified Van der Pol-Duffing oscillatorNeimark-Sacher bifurcationparameter dependent dynamical systems

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Dynamics induced by flows and semiflows (37C10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30)

Related Items (3)

Global bifurcations of a rotating pendulum with irrational nonlinearity ⋮ Preservation of Takens-Bogdanov bifurcations for delay differential equations by Euler discretization ⋮ Various closeness results in discretized bifurcations

Uses Software

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Cites Work

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