Periodic and Chaotic Orbits of a Discrete Rational System

被引：0
|
作者：
Lazaryan, N. [1 ]
Sedaghat, H. [1 ]
机构：
[1] Virginia Commonwealth Univ, Dept Math, Richmond, VA 23284 USA
来源：
DISCRETE DYNAMICS IN NATURE AND SOCIETY | 2015年 / 2015卷
关键词：
SNAP-BACK REPELLERS; DIFFERENCE-EQUATIONS; PLANE MAPS; POPULATION-MODEL; QUADRATIC TERMS; GLOBAL DYNAMICS; FOCAL POINTS; DENOMINATOR; BEHAVIOR;
D O I：
10.1155/2015/519598
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study a rational planar system consisting of one linear-affine and one linear-fractional difference equation. If all of the system's parameters are positive (so that the positive quadrant is invariant and the system is continuous), then we show that the unique fixed point of the system in the positive quadrant cannot be repelling and the system does not have a snap-back repeller. By folding the system into a second-order equation, we find special cases of the system with some negative parameter values that do exhibit chaos in the sense of Li and Yorke within the positive quadrant of the plane.
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页数：8
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