A GENERALIZED SEMICONJUGACY IN DIFFERENCE EQUATIONS

doi:10.1016/S0252-9602(12)60073-3

数学物理学报(英文版) ›› 2012, Vol. 32 ›› Issue (3): 978-988.doi: 10.1016/S0252-9602(12)60073-3

A GENERALIZED SEMICONJUGACY IN DIFFERENCE EQUATIONS

Reza Mazrooei-Sebdani^1*|Mehdi Dehghan²

1.Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran； 2.Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Ave., Tehran, Iran

收稿日期:2010-05-04 修回日期:2010-10-24 出版日期:2012-05-20 发布日期:2012-05-20
通讯作者: Reza Mazrooei-Sebdani,mazrooei@cc.iut.ac.ir; r mazrooei@yahoo.com E-mail:mazrooei@cc.iut.ac.ir; r mazrooei@yahoo.com; mdehghan@aut.ac.ir

A GENERALIZED SEMICONJUGACY IN DIFFERENCE EQUATIONS

Reza Mazrooei-Sebdani^1*|Mehdi Dehghan²

1.Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran； 2.Department of Applied Mathematics, Faculty of Mathematics and Computer Science, Amirkabir University of Technology, No. 424, Hafez Ave., Tehran, Iran

Received:2010-05-04 Revised:2010-10-24 Online:2012-05-20 Published:2012-05-20
Contact: Reza Mazrooei-Sebdani,mazrooei@cc.iut.ac.ir; r mazrooei@yahoo.com E-mail:mazrooei@cc.iut.ac.ir; r mazrooei@yahoo.com; mdehghan@aut.ac.ir

摘要/Abstract

摘要：

Difference equations arise in many fields. This article is concerned to general-ization of semiconjugacy in difference equations. In fact, H. Sedaghat in [7] investigated the semiconjugacy in difference equations where the factor maps are one-dimensional. We gen-eralize the definition of semiconjugacy of maps, where the factor map is multi-dimensional. This generalization is very useful. By this generalization, we can investigate the dynamics of many difference equations especially the dynamics of systems of higher order difference equations. Some systems of difference equations are investigated using the semiconjugacy property.

关键词: Difference equation, generalized semiconjugacy, linked map, factor map

Abstract:

Key words: Difference equation, generalized semiconjugacy, linked map, factor map

中图分类号:

39A10

Reza Mazrooei-Sebdani, Mehdi Dehghan. A GENERALIZED SEMICONJUGACY IN DIFFERENCE EQUATIONS[J]. 数学物理学报(英文版), 2012, 32(3): 978-988.

Reza Mazrooei-Sebdani, Mehdi Dehghan. A GENERALIZED SEMICONJUGACY IN DIFFERENCE EQUATIONS[J]. Acta mathematica scientia,Series B, 2012, 32(3): 978-988.

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A GENERALIZED SEMICONJUGACY IN DIFFERENCE EQUATIONS

A GENERALIZED SEMICONJUGACY IN DIFFERENCE EQUATIONS

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