On the global behaviour of a system of piecewise linear difference equations
by Evelina Lapierre; Wirot Tikjha
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 11, No. 3/4, 2021

Abstract: In a previous paper we considered the system x_n+1 = 'x_n' − y_n - 1 and y_n+1 = x_n + 'y_n' − 1 and showed by mathematical induction 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. In this paper we complete the study of the global behaviour of the system. We show that when the initial condition is an element of ℝ² then the solution is the equilibrium point, one of two prime period-3 solutions, or one of two prime period-4 solutions.

Online publication date: Wed, 01-Sep-2021

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Dynamical Systems and Differential Equations (IJDSDE):
Login with your Inderscience username and password:

Username:        Password:          Forgotten your password?

Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com