Conjugacy in the discretized fold bifurcation

DOI10.1016/S0898-1221(02)80011-6zbMath1050.65130MaRDI QIDQ1876475

Gyula Farkas

Publication date: 20 August 2004

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

zbMATH Keywords

FlowCenter manifoldConjugacyDiscretizationFold bifurcationGeneralized Hartman-Grobman theorem

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Periodic orbits of vector fields and flows (37C27) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30)

Related Items (4)

Discretizing the fold bifurcation - a conjugacy result ⋮ Various closeness results in discretized bifurcations ⋮ Discretizing the transcritical and pitchfork bifurcations – conjugacy results ⋮ Stability of a saddle node bifurcation under numerical approximations

Cites Work

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• Center manifolds of dynamical systems under discretization
• On C^j-closeness between the solution flow and its numerical approximation
• Polynomial estimates and discrete saddle-node homoclinic orbits
• A Hartman-Grobman result for retarded functional differential equations with an application to the numerics around hyperbolic equilibria

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