A general method for studying quadratic perturbations of the third-order Lyness difference equation
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Link
http://link.springer.com/content/pdf/10.1186/1687-1847-2013-193.pdf
Reference18 articles.
1. Lyness RC: Note 1581. Math. Gaz. 1942, 26: 62.
2. Lyness RC: Note 1847. Math. Gaz. 1945, 29: 231. 10.2307/3609268
3. Lyness RC: Note 2952. Math. Gaz. 1961, 45: 201.
4. Zeeman, EC: Geometric unfolding of a difference equation. Unpublished paper. Hertford College, Oxford (1996)
5. Bastien G, Rogalski M: Global behaviour of the solutions of Lyness’ difference equations u n + 2 u n = u n + 1 + a . J. Differ. Equ. Appl. 2004, 10(11):977-1003. 10.1080/10236190410001728104
Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Global stability and bifurcations of perturbed Gumowski–Mira difference equation;Journal of Difference Equations and Applications;2015-09-02
2. Global behavior of solutions of the generalized Lyness difference equations under quadratic perturbations;Applied Mathematics and Computation;2015-05
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