Some global bifurcations related to the appearance of closed invariant curves

DOI10.1016/j.matcom.2004.12.003zbMath1070.65132OpenAlexW2044752721MaRDI QIDQ1780455

Anna Agliari, Laura Gardini, Tönu Puu

Publication date: 13 June 2005

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2004.12.003

zbMATH Keywords

numerical examplesDiscrete dynamical systemsinvariant curveDuopoly modelsHomoclinic connectionSubcritical Neimark-Hopf bifurcation

Mathematics Subject Classification ID

Computational methods for bifurcation problems in dynamical systems (37M20) Numerical bifurcation problems (65P30) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

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Cites Work

• Chaos in duopoly pricing
• Exotic phenomena in games and duopoly models
• Elements of applied bifurcation theory.
• Remarks on the economic interpretation of Hopf bifurcations
• Cournot duopoly when the competitors operate under capacity constraints
• The dynamics of a tripoly Cournot game
• GLOBAL BIFURCATIONS IN DUOPOLY WHEN THE COURNOT POINT IS DESTABILIZED VIA A SUBCRITICAL NEIMARK BIFURCATION
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