International Journal of Mathematics and Computers in Simulation. Vol.7, No.3 (2013), 323-335
Suggested Citation
Wirot Tikjha, Yongwimon Lenbury, Evelina Giusti Lapierre Equilibriums and periodic solutions of related systems of piecewise linear difference equations. International Journal of Mathematics and Computers in Simulation. Vol.7, No.3 (2013), 323-335. Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/31641
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Equilibriums and periodic solutions of related systems of piecewise linear difference equations
In this paper we consider three systems of piecewise linear difference equations where the initial condition for each system is an arbitrary point on the real plane. For one system we show that there exists exactly two prime period-6 solutions, and that every solution of the system is eventually one of the two prime period-6 solutions except for equilibrium point. For the remaining two systems we show that every solution of each system is the unique equilibrium solution.
