On the global behavior of ð‘¥áµ¤â‚Šâ‚ = |ð‘¥áµ¤|− ð‘¦áµ¤ − 1 and ð‘¦áµ¤â‚Šâ‚ = ð‘¥áµ¤ +|ð‘¦áµ¤|
- E. A. Grove grove@math.uri.edu
- E. Lapierre elapierre@jwu.edu
- W. Tikjha wirot_tik@yahoo.com
Downloads
DOI:
https://doi.org/10.4067/S0719-06462012000200007Abstract
In this paper we consider the system of piecewise linear difference equations in the title, where the initial conditions x0 and y0 are real numbers. We show that there exists a unique equilibrium solution and exactly two prime period-3 solutions, and that except for the unique equilibrium solution, every solution of the system is eventually one of the two prime period-3 solutions.
Keywords
Most read articles by the same author(s)
- E. A. Grove, G. Ladas, Periodicity in Nonlinear Difference Equations , CUBO, A Mathematical Journal: Vol. 4 No. 1 (2002): CUBO, Matemática Educacional
Downloads
Download data is not yet available.
Published
2012-06-01
How to Cite
[1]
E. A. Grove, E. Lapierre, and W. Tikjha, “On the global behavior of ð‘¥áµ¤â‚Šâ‚ = |ð‘¥áµ¤|− ð‘¦áµ¤ − 1 and ð‘¦áµ¤â‚Šâ‚ = ð‘¥áµ¤ +|ð‘¦áµ¤|”, CUBO, vol. 14, no. 2, pp. 111–152, Jun. 2012.
Issue
Section
Articles