Publication:
On the global character of the system of piecewise linear difference equations x n+1 =|x n|- y n -1 and y n+1 = x n -|y n|

Issued Date

2010-12-01

Resource Type

Article

ISSN

16871847
16871839

DOI

10.1155/2010/573281

Other identifier(s)

2-s2.0-79952152306

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Advances in Difference Equations. Vol.2010, (2010)

Suggested Citation

Yongwimon Lenbury, Wirot Tikjha, Evelina Giusti Lapierre On the global character of the system of piecewise linear difference equations x n+1 =|x n|- y n -1 and y n+1 = x n -|y n|. Advances in Difference Equations. Vol.2010, (2010). doi:10.1155/2010/573281 Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/29318

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Title

On the global character of the system of piecewise linear difference equations x n+1 =|x n|- y n -1 and y n+1 = x n -|y n|

Author(s)

Yongwimon Lenbury
 Wirot Tikjha
 Evelina Giusti Lapierre

Other Contributor(s)

Mahidol University
 Commission on Higher Education
 Johnson and Wales University

Abstract

We consider the system in the title where the initial condition (x 0, y 0) ∈ R 2. We show that the system has exactly two prime period-5 solutions and a unique equilibrium point (0, - 1). We also show that every solution of the system is eventually one of the two prime period-5 solutions or else the unique equilibrium point. Copyright © 2010 Wirot Tikjha et al.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/29318

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Scopus 2006-2010