Dynamics of rational difference equations containing quadratic terms

被引：28

作者：

Dehghan, M. ^{[1
]}

Kent, C. M. ^{[2
]}

Mazrooei-Sebdani, R. ^{[1
]}

Ortiz, N. L. ^{[2
]}

Sedaghat, H. ^{[2
]}

机构：

[1] Amir Kabir Univ Technol, Dept Appl Math, Tehran, Iran

[2] Virginia Commonwealth Univ, Dept Math, Richmond, VA 23284 USA

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2008年 / 14卷 / 02期

关键词：

rational; quadratic; global attractivity; periodicity; chaos; semiconjugate;

D O I：

10.1080/10236190701565636

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Second order rational difference equations with quadratic terms in their numerators and linear terms in their denominators exhibit a rich variety of dynamic behaviors. It is demonstrated that depending on the parameters and initial values, there can be globally attracting fixed points, coexisting periodic solutions or chaotic trajectories.

引用

页码：191 / 208

页数：18

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