On periodicity of systems of rational difference equations
A. E. Hamza
- Department of Mathematics, College of Science, University of Jeddah, Jeddah 21589, Saudi Arabia.
- Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt.
In this paper, we investigate the periodicity of two systems of rational sequences of second and third order, respectively. The systems include a permutation that gives the ability of changing the appearance of components of solutions in the equations of the systems.
We find periods of systems in terms of the order of the permutation.
The periodicity of two more systems of maximum type are studied.
Finally, many illustrative examples are given.
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A. E. Hamza, N. Alsulami, On periodicity of systems of rational difference equations, Journal of Mathematics and Computer Science, 25 (2022), no. 4, 381--390
Hamza A. E., Alsulami N., On periodicity of systems of rational difference equations. J Math Comput SCI-JM. (2022); 25(4):381--390
Hamza, A. E., Alsulami, N.. "On periodicity of systems of rational difference equations." Journal of Mathematics and Computer Science, 25, no. 4 (2022): 381--390
- Systems of difference equations
- permutation groups
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