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Details for article 13 of 37 found articles
| Title: |
Convergence, Periodicity and Bifurcations for the Two-parameter Absolute-Difference Equation |
| Author: |
Kent, C. M. Sedaghat, H. |
| Appeared in: |
Journal of difference equations and applications |
| Paging: | Volume 10 (2004) nr. 9 pages 817-841 |
| Year: |
2004-08 |
| Contents: |
The two-parameter absolute-difference equation xn+1=|axn-bxn-1| is studied. Based on the parameter values a, b and a pair of initial values, we consider the existence and bifurcations of solutions having one or more of the following properties: (i) unbounded, (ii) convergent (to zero or to a positive constant), (iii) monotonic, (iv) periodic and (v) non-periodic oscillatory. The semiconjugate first order equation satisfied by the ratios {xn/xn-1} is used to significant advantage for points (a,b) in certain regions of the parameter plane. Some open problems and conjectures are presented. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 13 of 37 found articles
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