From Hopf to Neimark-Sacker bifurcation: A computational algorithm

DOI10.1504/IJCSM.2008.019726zbMath1178.65143arXiv0711.1505OpenAlexW2007672126MaRDI QIDQ1040628

Gerald Moore

Publication date: 25 November 2009

Published in: International Journal of Computing Science and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0711.1505

zbMATH Keywords

algorithmnumerical examplesHopf bifurcationnormal formdifferential equationsFloquet theoryinvariant toriNeimark-Sacker bifurcationFourier spectral method

Mathematics Subject Classification ID

Normal forms for dynamical systems (37G05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60) Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30)

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On the Neimark–Sacker bifurcation in a discrete predator–prey system

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