Discretizing the transcritical and pitchfork bifurcations – conjugacy results

DOI10.1080/10236198.2014.992786zbMath1315.65104arXiv1411.6252OpenAlexW2032096268MaRDI QIDQ5247368

Lajos Lóczi

Publication date: 24 April 2015

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1411.6252

zbMATH Keywords

conjugacystructural stabilityRunge-Kutta methodtranscritical bifurcationtopological equivalencepitchfork bifurcationone-step schemesdiscrete bifurcationsone-dimensional ODE

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical bifurcation problems (65P30)

Related Items (2)

Discretizing the fold bifurcation - a conjugacy result ⋮ Various closeness results in discretized bifurcations

Cites Work

• Various closeness results in discretized bifurcations
• Stability of a saddle node bifurcation under numerical approximations
• A model function for polynomial rates in discrete dynamical systems
• Conjugacy in the discretized fold bifurcation
• Discretizing the fold bifurcation - a conjugacy result
• TRANSFORMATION OF LOCAL BIFURCATIONS UNDER COLLOCATION METHODS
• On the Numerical Approximation of Phase Portraits Near Stationary Points
• Stability, Instability and Chaos
• Introduction to Applied Nonlinear Dynamical Systems and Chaos

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