Introduction
Bimonthly, started in 1957
Administrator
Shanxi Provincial Education Department
Sponsor
Taiyuan University of Technology
Publisher
Ed. Office of Journal of TYUT
Editor-in-Chief
SUN Hongbin
ISSN: 1007-9432
CN: 14-1220/N
Administrator
Shanxi Provincial Education Department
Sponsor
Taiyuan University of Technology
Publisher
Ed. Office of Journal of TYUT
Editor-in-Chief
SUN Hongbin
ISSN: 1007-9432
CN: 14-1220/N
location: home > paper >
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Dynamic Behaviors of A Special Third-Order Rational Difference System
DOI:
10.16355/j.cnki.issn1007-9432tyut.2017.04.031
Received:
Accepted:
| Corresponding author | Institute | |
| SHI Peilin | College of Mathematics, Taiyuan University of Technology |
abstract:
In this paper,a special rational system of third-order difference is discussed.Firstly,we analyze the existence and stability of equilibria.It is showed that the trivial equilibrium is locally stable,and the positive equilibrium is unstable.Further,we consider the existence of prime period-two solutions.And the convergence rate from the solutions to the trivial equilibrium is studied.Finally,the results are verified by numerical simulations. |
Keywords:
rational difference equations;equilibrium;stabilityprime period-two solutions;the rate of convergence