Publication:
Periodic behavior of solutions of a certain piecewise linear system of difference equations

Issued Date

2015-01-01

Resource Type

Article

ISSN

16860209

Other identifier(s)

2-s2.0-84946154312

Rights

Mahidol University

Rights Holder(s)

SCOPUS

Bibliographic Citation

Thai Journal of Mathematics. Vol.13, No.1 (2015), 227-236

Suggested Citation

Wirot Tikjha, Somsri Jintanasonti, Yongwimon Lenbury Periodic behavior of solutions of a certain piecewise linear system of difference equations. Thai Journal of Mathematics. Vol.13, No.1 (2015), 227-236. Retrieved from: https://repository.li.mahidol.ac.th/handle/20.500.14594/36207

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Title

Periodic behavior of solutions of a certain piecewise linear system of difference equations

Author(s)

Wirot Tikjha
 Somsri Jintanasonti
 Yongwimon Lenbury

Other Contributor(s)

Pibulsongkram Rajabhat University
 Mahidol University
 South Carolina Commission on Higher Education

Abstract

© 2015 by the Mathematical Association of Thailand. All rights reserved. In this paper, we study the behavior of solutions of piecewise linear system of difference equations xn+1= |xn| − yn− 2 and yn+1= xn+ |yn| with initial condition that (x0, y0) is in R2− {(x, y): x < 0 and y < 0}. After we observe via a computer program and some direct computations, we found that the system has an equilibrium point and periodic solutions. We also show that the solution of the system is eventually periodic with prime period 3 by finding the pattern of solutions and formulating the statements that involve the natural numbers and then proving by mathematical induction.

Keyword(s)

Mathematics

Availability

URI

https://repository.li.mahidol.ac.th/handle/20.500.14594/36207

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Scopus 2011-2015