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Title: Periodic solutions of a generalized system of piecewise linear difference equations
Authors: Wirot Tikjha
Evelina Lapierre
Yongwimon Lenbury
Pibulsongkram Rajabhat University
Thailand Ministry of Education
Johnson and Wales University
Mahidol University
Keywords: Mathematics
Issue Date: 12-Dec-2015
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.
ISSN: 16871847
Appears in Collections:Scopus 2011-2015

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