PERIODIC WITH PERIOD 4 OF A PIECEWISE LINEAR SYSTEM OF DIFFERENCE EQUATIONS WITH INITIAL CONDITIONS BEING SOME POINTS ON POSITIVE Y AXIS

  • วิโรจน์ ติ๊กจ๊ะ คณะวิทยาศาสตร์และเทคโนโลยี มรพส.
  • ฐิติกานต์ หน่อใหม่
  • อุไรวรรณ จิตต์บุรุษ
  • อรรถพล ภูมิลา
Keywords: difference equation, periodic solution, periodic cycle

Abstract

  This article presents a study of solution to a piecewise linear system of difference equations gif.latex?\inline&space;x_{n+1}&space;=&space;|x_n|-y_n-3 and  gif.latex?\inline&space;y_{n+1}=x_n&space;-&space;|y_n|&space;+&space;1 with initial condition  gif.latex?\inline&space;x_0&space;=&space;0 and gif.latex?\inline&space;y_0&space;\geq&space;1 . After investigations, we found some periodic with period 4 solutions and we proved that solutions with the initial condition are attracted by either one of two period 4 cycles. We explain behavior of solutions to the system via a mathematical inductive statement.   

 

 

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Published
2018-08-29
How to Cite
ติ๊กจ๊ะว., หน่อใหม่ฐ., จิตต์บุรุษอ., & ภูมิลาอ. (2018). PERIODIC WITH PERIOD 4 OF A PIECEWISE LINEAR SYSTEM OF DIFFERENCE EQUATIONS WITH INITIAL CONDITIONS BEING SOME POINTS ON POSITIVE Y AXIS. SRU ournal of cience and echnology, 3(2), 26-34. etrieved from https://ph01.tci-thaijo.org/index.php/Scipsru/article/view/125217
Section
Research Articles