Kyungpook Mathematical Journal

  • 제60권2호
  • /
  • Pages.401-413
  • /
  • 2020
  • /
  • 1225-6951(pISSN)
  • /
  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Periodic Solutions of a System of Piecewise Linear Difference Equations

  • Tikjha, Wirot (Faculty of Science and Technology, Pibulsongkram Rajabhat University) ;
  • Lapierre, Evelina (Department of Mathematics, Johnson and Wales University)
  • 투고 : 2017.06.28
  • 심사 : 2019.08.27
  • 발행 : 2020.06.30
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초록

In this article we consider the following system of piecewise linear difference equations: xn+1 = |xn| - yn - 1 and yn+1 = xn + |yn| - 1. We show that when the initial condition is an element of the closed second or fourth quadrant the solution to the system is either a prime period-3 solution or one of two prime period-4 solutions.

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참고문헌

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  9. W. Tikjha, E. G. Lapierre, and T. Sitthiwirattham, The stable equilibrium of a system of piecewise linear difference equations, Adv. Difference Equ., (2017), Paper NO. 67, 10 pp.