The Neimark-Sacker bifurcation ofxn+1=δxn-2+xn-3A+xn-3

DOI10.1080/10236190802357669zbMath1170.39001OpenAlexW2140527313MaRDI QIDQ5192330

Rongyan Zhang, Xiao-Hua Ding

Publication date: 4 August 2009

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

Full work available at URL: https://doi.org/10.1080/10236190802357669

zbMATH Keywords

stabilitynormal formNaimark-Sacker bifurcationrational difference equation

Mathematics Subject Classification ID

Additive difference equations (39A10)

Related Items (4)

Degenerate Neimark–Sacker bifurcation of a second-order rational difference equation ⋮ Bifurcation analysis and chaos control in a second-order rational difference equation ⋮ Neimark–Sacker bifurcation of a third-order rational difference equation ⋮ Bifurcation analysis and chaos control of a second-order exponential difference equation

Cites Work

• Unnamed Item
• On the dynamics of \(x_{n+1}= \frac {\delta x-{n-2}+x_{n-3}}{A+x_{n-3}}\)
• Elements of applied bifurcation theory.
• A New Approach to Cycling in a 2-locus 2-allele Genetic Model

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