A Hopf bifurcation theorem for difference equations approximating a differential equation

DOI10.1007/BF01637279zbMath0546.58037WikidataQ115393292 ScholiaQ115393292MaRDI QIDQ5966238

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Publication date: 1984

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178194

zbMATH Keywords

Hopf bifurcationordinary differential equationEuler's method

Mathematics Subject Classification ID

Numerical investigation of stability of solutions to ordinary differential equations (65L07) Genetics and epigenetics (92D10) Local and nonlocal bifurcation theory for dynamical systems (37G99) Physiological, cellular and medical topics (92Cxx)

Related Items (13)

Multilocus selection in subdivided populations. I: Convergence properties for weak or strong migration ⋮ On the stability of numerical methods of Hopf points using backward error analysis ⋮ Discretizing the fold bifurcation - a conjugacy result ⋮ Neimark–Sacker bifurcations in a non-standard numerical scheme for a class of positivity-preserving ODEs ⋮ Evolutionary dynamics in the two-locus two-allele model with weak selection ⋮ A survey of migration-selection models in population genetics ⋮ Stability Investigation of Biosensor Model Based on Finite Lattice Difference Equations ⋮ Stable long-period cycling and complex dynamics in a single-locus fertility model with genomic imprinting ⋮ Discretized best-response dynamics for the Rock-Paper-Scissors game ⋮ Various closeness results in discretized bifurcations ⋮ Discretizing dynamical systems with generalized Hopf bifurcations ⋮ The selection mutation equation ⋮ Dynamical effects of loss of cooperation in discrete-time hypercycles

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