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Paper Information

Journal:   MATHEMATICAL RESEARCHES   FALL 2016-WINTER 2017 , Volume 3 , Number 2 ; Page(s) 129 To 146.
 
Paper: 

ROTATION NUMBER AND ITS PROPERTIES FOR ITERATED FUNCTION AND NON-AUTONOMOUS SYSTEMS

 
 
Author(s):  FATEHI NIA MEHDI*
 
* YAZD UNIVERSITY
 
Abstract: 

The main purpose of this paper is to introduce the rotation number for non-autonomous and iterated function systems. First, we define iterated function systems and the lift of these types of systems on the unit circle. In the following, we define the rotation number and investigate the conditions of existence and uniqueness of this number for our systems. Then, the notions rotational entropy and rotational shadowing have been considered and some basic properties of these notions in the iterated function and non-autonomous systems have been investigated.

 
Keyword(s): ROTATION NUMBER, ROTATION ENTROPY, ROTATION SHADOWING, LIFT FUNCTION, NONAUTONOMOUS SYSTEMS
 
 
References: 
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Click to Cite.
APA: Copy

Fatehi Nia, M. (2017). ROTATION NUMBER AND ITS PROPERTIES FOR ITERATED FUNCTION AND NON-AUTONOMOUS SYSTEMS. MATHEMATICAL RESEARCHES, 3(2 ), 129-146. https://www.sid.ir/en/journal/ViewPaper.aspx?id=569474



Vancouver: Copy

Fatehi Nia Mehdi. ROTATION NUMBER AND ITS PROPERTIES FOR ITERATED FUNCTION AND NON-AUTONOMOUS SYSTEMS. MATHEMATICAL RESEARCHES. 2017 [cited 2021May11];3(2 ):129-146. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=569474



IEEE: Copy

Fatehi Nia, M., 2017. ROTATION NUMBER AND ITS PROPERTIES FOR ITERATED FUNCTION AND NON-AUTONOMOUS SYSTEMS. MATHEMATICAL RESEARCHES, [online] 3(2 ), pp.129-146. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=569474.



 
 
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