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- Title
Global Dynamics of Nonlinear Difference Equation x<sub>n+1</sub> = A + x<sub>n</sub>/x<sub>n-1</sub>x<sub>n-2</sub>.
- Authors
Keying Liu; Peng Li; Fei Han; Weizhou Zhong
- Abstract
In this paper, global dynamics of a kind of nonlinear difference equation was investigated, which had only one positive equilibrium. Every positive solution of the equation either converges to its positive equilibrium if it is locally asymptotically stable or nonhyperbolic or oscillates about its positive equilibrium if it is a saddle point. For the latter case, the length of positive or negative semicycles is no more than four.
- Publication
Journal of Computational Analysis & Applications, 2018, Vol 24, Issue 6, p1125
- ISSN
1521-1398
- Publication type
Academic Journal