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|Title:||Periodic solutions of a generalized system of piecewise linear difference equations|
Pibulsongkram Rajabhat University
Thailand Ministry of Education
Johnson and Wales University
|Citation:||Advances in Difference Equations. Vol.2015, No.1 (2015)|
|Abstract:||© 2015, Tikjha et al. In this article we consider the global behavior of the following system of piecewise linear difference equations: (Formula presented.) where b is any positive real number and the initial condition (Formula presented.) is an element of <sup>R2</sup>. By mathematical induction and direct computations we show that the solution to the system is eventually one of two particular prime period 3 solutions or the unique equilibrium solution.|
|Appears in Collections:||Scopus 2011-2015|
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