A Hopf bifurcation theorem for difference equations approximating a differential equation

DOI10.1007/BF01637279zbMath0542.58018WikidataQ115393292 ScholiaQ115393292MaRDI QIDQ5896374

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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

limit cyclesRunge-Kutta methodshypercycletwo loci-two alleles

Mathematics Subject Classification ID

Numerical investigation of stability of solutions to ordinary differential equations (65L07) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Genetics and epigenetics (92D10) Local and nonlocal bifurcation theory for dynamical systems (37G99) Physiological, cellular and medical topics (92Cxx)

Related Items (7)

The ``battle of the sexes: A genetic model with limit cycle behavior ⋮ Multilocus population-genetic theory ⋮ Evolution under the multilocus Levene model without epistasis ⋮ Evolution under multiallelic migration-selection models ⋮ Preservation of Takens-Bogdanov bifurcations for delay differential equations by Euler discretization ⋮ Stable cycling in quasi-linkage equilibrium: fluctuating dynamics under gene conversion and selection ⋮ Bifurcation properties for a sequence of approximation of delay equations

Cites Work

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