Global asymptotic stability and Naimark-Sacker bifurcation of certain mix monotone difference equation

DOI10.1155/2018/7052935zbMath1417.39052OpenAlexW2899740536MaRDI QIDQ1727208

Abdul Qadeer Khan, Mustafa R. S. Kulenović, Samra Moranjkić, Zehra Nurkanović, Mehmed Nurkanović

Publication date: 20 February 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/7052935

Mathematics Subject Classification ID

Bifurcation theory for difference equations (39A28)

Related Items (6)

Qualitative study of a second order difference equation ⋮ Unnamed Item ⋮ Stability, Neimark-Sacker bifurcation, and approximation of the invariant curve of certain homogeneous second-order fractional difference equation ⋮ Stability and Neimark-Sacker bifurcation of certain mixed monotone rational second-order difference equation ⋮ Unnamed Item ⋮ Global dynamics of perturbation of certain rational difference equation

Cites Work

• Unnamed Item
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• Unnamed Item
• Unnamed Item
• Global dynamics and bifurcations of certain second order rational difference equation with quadratic terms
• Elements of applied bifurcation theory.
• Global dynamics of certain mix monotone difference equation
• Periodic and chaotic orbits of a discrete rational system
• A global attractivity result for maps with invariant boxes
• Nonmonotone systems decomposable into monotone systems with negative feedback
• Global behavior of a three-dimensional linear fractional system of difference equations
• Stability, periodicity, and symmetries of certain second-order fractional difference equation with quadratic terms via KAM theory
• Global attractivity in a rational delay difference equation with quadratic terms
• Global behavior of solutions of a periodically forced Sigmoid Beverton–Holt model
• Backward bifurcations and strong Allee effects in matrix models for the dynamics of structured populations
• 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
• Planar competitive and cooperative difference equations
• Naimark-Sacker bifurcation of second order rational difference equation with quadratic terms
• Folding, cycles and chaos in planar systems
• Dynamics of rational difference equations containing quadratic terms
• On second-order rational difference equations, Part 2
• When does local asymptotic stability imply global attractivity in rational equations?
• Global dynamics and bifurcation of a perturbed Sigmoid Beverton–Holt difference equation

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