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

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Fatehi Nia Mehdi

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Journal: MATHEMATICAL RESEARCHES Year:2017 | Volume:3 | Issue:2 Page(s): 129-146

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Information Journal Paper

Title

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

Author(s)

Fatehi Nia Mehdi | Issue Writer Certificate

Keywords

ROTATION NUMBERQ1

ROTATION ENTROPYQ1

ROTATION SHADOWINGQ1

LIFT FUNCTIONQ1

NONAUTONOMOUS SYSTEMSQ1

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.

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APA: Copy

Fatehi Nia, Mehdi. (2017). ROTATION NUMBER AND ITS PROPERTIES FOR ITERATED FUNCTION AND NON-AUTONOMOUS SYSTEMS. MATHEMATICAL RESEARCHES, 3(2 ), 129-146. SID. https://sid.ir/paper/260775/en

Vancouver: Copy

Fatehi Nia Mehdi. ROTATION NUMBER AND ITS PROPERTIES FOR ITERATED FUNCTION AND NON-AUTONOMOUS SYSTEMS. MATHEMATICAL RESEARCHES[Internet]. 2017;3(2 ):129-146. Available from: https://sid.ir/paper/260775/en

IEEE: Copy

Mehdi Fatehi Nia, “ROTATION NUMBER AND ITS PROPERTIES FOR ITERATED FUNCTION AND NON-AUTONOMOUS SYSTEMS,” MATHEMATICAL RESEARCHES, vol. 3, no. 2 , pp. 129–146, 2017, [Online]. Available: https://sid.ir/paper/260775/en

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