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INVESTIGATING DYNAMICS OF THE RATIONAL DIFFERENCE EQUATION xn+1 =xn-1/A + Bxnxn-1.
- Source :
-
Journal of Computational Analysis & Applications . Jul2019, Vol. 27 Issue 1, p85-103. 19p. 6 Graphs, 1 Map. - Publication Year :
- 2019
-
Abstract
- This paper is devoted to investigate the dynamics of the rational difference equation xn+1 =xn-1/A + Bxnxn-1 with arbitrary initial conditions A and B as nonzero real numbers. The solution is obtained and analytical study and asymptotic behavior are investigated. The forbidden set is determined. The existence of periodic and oscillatory solutions are discussed. Our results are illustrated with numerical simulations. [ABSTRACT FROM AUTHOR]
- Subjects :
- *DIFFERENCE equations
*EQUATIONS
*REAL numbers
*COMPUTER simulation
*DIFFERENCE sets
Subjects
Details
- Language :
- English
- ISSN :
- 15211398
- Volume :
- 27
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Computational Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 129015360