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
Similar Articles
- Liancheng Wang, Bo Yang, New upper estimate for positive solutions to a second order boundary value problem with a parameter , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- Sepide Hajighasemi, Shirin Hejazian, Surjective maps preserving the reduced minimum modulus of products , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- Fatima Fennour, Soumia Saïdi, On a class of evolution problems driven by maximal monotone operators with integral perturbation , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
- Fethi Soltani, Extremal functions and best approximate formulas for the Hankel-type Fock space , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
- Baharak Moosavi, Mohsen Shah Hosseini, Some norm inequalities for accretive Hilbert space operators , CUBO, A Mathematical Journal: Vol. 26 No. 2 (2024)
- Rubí E. Rodríguez, Anita M. Rojas, Matías Saavedra-Lagos, Representaciones lineales irreducibles de grupos finitos en cuerpos de números , CUBO, A Mathematical Journal: Vol. 27 No. 2 (2025): Spanish Edition (40th Anniversary)
- Adrián Esparza-Amador, Parámetros especiales y deformaciones lineales de la familia \( (\wp(z))^2 + c \) , CUBO, A Mathematical Journal: Vol. 27 No. 2 (2025): Spanish Edition (40th Anniversary)
- Aníbal Coronel, Fernando Huancas, Esperanza Lozada, Jorge Torres, Análisis matemático de un problema inverso para un sistema de reacción-difusión originado en epidemiología , CUBO, A Mathematical Journal: Vol. 27 No. 2 (2025): Spanish Edition (40th Anniversary)
- A. Bacelo, J. J. Etayo, E. Martínez, Comparing the real genus and the symmetric crosscap number of a group , CUBO, A Mathematical Journal: Vol. 27 No. 3 (2025)
- Erhan Pişkin, Ayşe Fidan, Jorge Ferreira, Mohammad Shahrouzi, Blow-up and global existence of solutions for a higher-order reaction diffusion equation with singular potential , CUBO, A Mathematical Journal: Vol. 28 No. 1 (2026)
<< < 24 25 26 27 28 29 30 31 > >>
You may also start an advanced similarity search for this article.
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
