Analytic solution of the stochastic system of rational difference equations xn = a/yn-p, yn = b/xn+p-2

Seifedine Kadry

doi:10.1063/1.3636770

Analytic solution of the stochastic system of rational difference equations x_n = a/y_n-p, y_n = b/x_n+p-2

Seifedine Kadry

American University of the Middle East

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

In this paper, we investigate the periodicity of the solutions of the stochastic system of rational difference equations x_n= a/y _n-p, y_n = b/x_n+p-2(p≥1), and we develop a new analytic technique to solve it, where a, b, x₀ = N y₀ = M are independent random variables.

Original language	English
Title of host publication	Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics
Pages	486-489
Number of pages	4
DOIs	https://doi.org/10.1063/1.3636770
State	Published - 2011
Externally published	Yes
Event	International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011 - Halkidiki, Greece Duration: 19 Sep 2011 → 25 Sep 2011

Publication series

Name	AIP Conference Proceedings
Volume	1389
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011
Country/Territory	Greece
City	Halkidiki
Period	19/09/11 → 25/09/11

Keywords

linearization
periodicity
rational difference equations system
stochastic system
transformation of random variables

Access to Document

10.1063/1.3636770

Cite this

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title = "Analytic solution of the stochastic system of rational difference equations xn = a/yn-p, yn = b/xn+p-2",

abstract = "In this paper, we investigate the periodicity of the solutions of the stochastic system of rational difference equations xn= a/y n-p, yn = b/xn+p-2(p≥1), and we develop a new analytic technique to solve it, where a, b, x0 = N y0 = M are independent random variables.",

keywords = "linearization, periodicity, rational difference equations system, stochastic system, transformation of random variables",

author = "Seifedine Kadry",

year = "2011",

doi = "10.1063/1.3636770",

language = "English",

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series = "AIP Conference Proceedings",

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booktitle = "Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics",

note = "International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011 ; Conference date: 19-09-2011 Through 25-09-2011",

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Kadry, S 2011, Analytic solution of the stochastic system of rational difference equations x_n = a/y_n-p, y_n = b/x_n+p-2. in Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics. AIP Conference Proceedings, vol. 1389, pp. 486-489, International Conference on Numerical Analysis and Applied Mathematics: Numerical Analysis and Applied Mathematics, ICNAAM 2011, Halkidiki, Greece, 19/09/11. https://doi.org/10.1063/1.3636770

Analytic solution of the stochastic system of rational difference equations x_n = a/y_n-p, y_n = b/x_n+p-2. / Kadry, Seifedine.
Numerical Analysis and Applied Mathematics, ICNAAM 2011 - International Conference on Numerical Analysis and Applied Mathematics. 2011. p. 486-489 (AIP Conference Proceedings; Vol. 1389).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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KW - stochastic system

KW - transformation of random variables

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