On the Invariant Manifolds of the Fixed Point of a Second-Order Nonlinear Difference Equation
Author:
Publisher
Springer Science and Business Media LLC
Subject
Control and Optimization,Numerical Analysis,Algebra and Number Theory,Control and Systems Engineering
Link
http://link.springer.com/content/pdf/10.1007/s10883-019-09472-3.pdf
Reference18 articles.
1. Agarwal RP. Difference equations and inequalities: Theory, methods, and applications. New York: Marcel Dekker Inc; 2000.
2. Aksoy A, Turan M. On the dynamics of the non-linear difference equation $x_{n+1={\alpha }+{\beta } x_{n-1}+ x_{n-1}/x_{n}}$. Sci Asia 2015;41(5):350–356.
3. Amleh AM, Grove EA, Ladas G, Georgiou DA. On the recursive sequence $x_{n+1={\alpha }+x_{n-1}/x_{n}}$. J Math Anal Appl 1999;233:790–798.
4. Burgić D, Kalabušić S, Kulenović MRS. Non-hyperbolic dynamics for competitive systems in the plane and global period-doubling bifurcations. Adv Dyn Syst Appl 2008;3:229–249.
5. Carr J. Applications of center manifold theory. New York: Springer-Verlag; 1981.
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