Neimark–Sacker bifurcation of a third-order rational difference equation

DOI10.1080/10236198.2013.764998zbMath1274.39034OpenAlexW2048085582MaRDI QIDQ2855203

Jia Qiu, Zhi Min He

Publication date: 24 October 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2013.764998

zbMATH Keywords

stabilityfixed pointNeimark-Sacker bifurcationrational difference equation

Mathematics Subject Classification ID

Bifurcation theory for difference equations (39A28)

Related Items (6)

Degenerate Neimark–Sacker bifurcation of a second-order rational difference equation ⋮ Qualitative study of a second order difference equation ⋮ Bifurcation analysis and chaos control in a second-order rational difference equation ⋮ Stability and bifurcation analysis in a host-parasitoid model with Hassell growth function ⋮ \(1:3\) resonance and chaos in a discrete Hindmarsh-Rose model ⋮ Bifurcation analysis and chaos control of a second-order exponential difference equation

Cites Work

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• Multiple bifurcations and periodic ``bubbling in a delay population model
• On the boundedness of some rational difference equations
• On the boundedness character of some rational difference equations
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• Global Asymptotic Stability in a Rational Equation*
• Introduction to the 2009 re-publication of the ‘Neimark–Sacker bifurcation theorem’
• The Neimark-Sacker bifurcation ofx_n+1=δx_n-2+x_n-3A+x_n-3
• On creation of Hopf bifurcations in discrete-time nonlinear systems

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