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

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

Type: Article

Publication Date: 2017-07-11

Citations: 12

DOI: https://doi.org/10.22436/jnsa.010.07.11

Abstract

We investigate the global asymptotic stability and Naimark-Sacker bifurcation of the difference equationwith non-negative parameters and nonnegative initial conditions x -1 , x 0 such that bx 0 x -1 + cx 2 -1 + f > 0. By using fixed point theorem for monotone maps we find the region of parameters where the unique equilibrium is globally asymptotically stable.

Locations

The Journal of Nonlinear Sciences and Applications - View - PDF

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+	Dynamics and Bifurcations	1991	Jack K. Hale Hüseyin Koçak
+ PDF Chat	Elements of Applied Bifurcation Theory	2004	Yuri A. Kuznetsov
+	Elements of applied bifurcation theory (2nd ed.)	1998	Yuri A. Kuznetsov
+ PDF Chat	A global attractivity result for maps with invariant boxes	2006	M. R. S. Kulenović Orlando Merino
+	Attractivity and global stability for linearizable difference equations	2008	E.J. Janowski M. R. S. Kulenović
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+	Global bifurcation for discrete competitive systems in the plane	2009	M. R. S. Kulenović Orlando Merino
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