EQUILIBRIUM POINT AND PERIODIC WITH PERIOD 5 OF A SYSTEM OF DIFFERENCE EQUATIONS

Authors

  • Wirot Tikjha
  • Pratya Phatson

Keywords:

Difference equation, Equilibrium point, Periodic solution

Abstract

In this paper we study a two-dimensional piecewise linear system of difference equations. Initial conditions are negative x axis. We found a unique equilibrium point and two 5 cycles in the system. We separate the axis into intervals and we used direct calculations and single inductive statement in each interval of the axis to describe all behaviors in each interval of initial condition. Behaviors of solution to the system depend on choosing initial condition. It is either eventually equilibrium point or eventually prime period 5. This results could extent to understand global behaviors of family in piecewise linear system of difference equations.

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Published

2020-05-08

How to Cite

Tikjha, W., & Phatson, P. (2020). EQUILIBRIUM POINT AND PERIODIC WITH PERIOD 5 OF A SYSTEM OF DIFFERENCE EQUATIONS . Life Sciences and Environment Journal, 21(1), 1–12. Retrieved from https://ph01.tci-thaijo.org/index.php/psru/article/view/209562

Issue

Vol. 21 No. 1 (2020): January - June

Section

Research Articles

License

Each article is copyrighted © by its author(s) and is published under license from the author(s).