Global dynamics and bifurcations of certain second order rational difference equation with quadratic terms
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Publication:290318
DOI10.1007/s12346-015-0148-xzbMath1338.39008OpenAlexW600625292MaRDI QIDQ290318
Mustafa R. S. Kulenović, Sabina Jašarević Hrustić, Mehmed Nurkanović
Publication date: 1 June 2016
Published in: Qualitative Theory of Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12346-015-0148-x
Additive difference equations (39A10) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28)
Related Items (14)
Unnamed Item ⋮ Unnamed Item ⋮ Global dynamics of certain mix monotone difference equation ⋮ Global dynamics of rational difference equations \(x_{n + 1} = \left(x_n + x_{n - 1}\right) / \left(q + y_n y_{n - 1}\right)\) and \(y_{n + 1} = \left(y_n + y_{n - 1}\right) / \left(p + x_n x_{n - 1}\right)\) ⋮ 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 ⋮ Local dynamics and global stability of certain second-order rational difference equation with quadratic terms ⋮ Global asymptotic stability and Naimark-Sacker bifurcation of certain mix monotone difference equation ⋮ Dynamics and solutions of a fifth-order nonlinear 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 ⋮ The Neimark-Sacker bifurcation and global stability of perturbation of sigmoid Beverton-Holt difference equation ⋮ Global dynamics of delayed sigmoid Beverton-Holt equation ⋮ Bifurcation analysis and chaos control of a second-order exponential difference equation
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