Naimark-Sacker bifurcation of second order rational difference equation with quadratic terms

DOI10.22436/jnsa.010.07.11zbMath1412.39005OpenAlexW2565029313MaRDI QIDQ4631303

Samra Moranjkić, Zehra Nurkanović, Mustafa R. S. Kulenović

Publication date: 24 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.07.11

zbMATH Keywords

bifurcationperiodic solutioninvariantdifference equationattractivityNaimark-Sacker bifurcation

Mathematics Subject Classification ID

Additive difference equations (39A10) Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28)

Related Items (7)

Global dynamics of certain mix monotone difference equation ⋮ Bifurcation analysis and chaos control in a second-order rational difference equation ⋮ Stability, Neimark-Sacker bifurcation, and approximation of the invariant curve of certain homogeneous second-order fractional difference equation ⋮ Global asymptotic stability and Naimark-Sacker bifurcation of certain mix monotone difference equation ⋮ Stability and Neimark-Sacker bifurcation of certain mixed monotone rational second-order difference equation ⋮ Global dynamics of perturbation of certain rational difference equation ⋮ Bifurcation analysis and chaos control of a second-order exponential difference equation

Cites Work

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• Global attractivity in a quadratic-linear rational difference equation with delay
• Global behaviours of rational difference equations of orders two and three with quadratic terms
• Introduction to Applied Nonlinear Dynamical Systems and Chaos
• On second-order rational difference equations, Part 2
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