On the global behavior of ð‘¥áµ¤â‚Šâ‚ = |ð‘¥áµ¤|− ð‘¦áµ¤ − 1 and ð‘¦áµ¤â‚Šâ‚ = ð‘¥áµ¤ +|ð‘¦áµ¤|
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E. A. Grove
grove@math.uri.edu
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E. Lapierre
elapierre@jwu.edu
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W. Tikjha
wirot_tik@yahoo.com
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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.
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Published
2012-06-01
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[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.
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