Basins of attraction of equilibrium and boundary points of second-order difference equations

DOI10.1080/10236198.2013.855733zbMath1293.39006OpenAlexW2085205105MaRDI QIDQ4979817

S. Jašarević, Mustafa R. S. Kulenović

Publication date: 19 June 2014

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

Full work available at URL: https://doi.org/10.1080/10236198.2013.855733

zbMATH Keywords

stabilityconvergencebifurcationinvariant manifoldattractivityequilibrium pointbasinrational difference equationbasin manifold

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28)

Related Items (5)

Global dynamics of cubic second order difference equation in the first quadrant ⋮ Global asymptotic stability for quadratic fractional difference equation ⋮ Global dynamics and bifurcations of certain second order rational difference equation with quadratic terms ⋮ 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 \(y_{n + 1} = \left(y_n + y_{n - 1}\right) / \left(p + x_n x_{n - 1}\right)\) ⋮ Global dynamics and bifurcation of a perturbed Sigmoid Beverton–Holt difference equation

Cites Work

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