Martellijev kaos u dinamičkim sustavima na inverznim limesima i na hiperprostorima

Trpčić, Maja (2014) Martellijev kaos u dinamičkim sustavima na inverznim limesima i na hiperprostorima. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

At the very beginning of this paper we introduce some basic definitions and concepts, which we will need in sequel. We define different definitions of chaos, and observe the relationship between them. We define some familiar mappings and show that they are chaotic. In the second chapter we investigate Martelli’s chaos of inverse limit dynamical systems. We give definitions, and through a few theorems we prove that inverse limit dynamical system is Martelli’s chaos if and only if so is original system. Here are two examples that illustrate listed properties. Finally, we investigate Martelli’s chaos of hyperspace dynamical systems. As in the previous chapter we give some definitions, and through a few theorems we prove that hyperspace dynamical system is Martelli’s chaos implies original system is Martelli’s chaos if the orbit of every single point set of original system is unstable in hyperspace.

Item Type: Thesis (Diploma thesis)
Supervisor: Štimac, Sonja
Date: 2014
Number of Pages: 28
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 28 Aug 2015 11:50
Last Modified: 28 Aug 2015 11:50
URI: http://digre.pmf.unizg.hr/id/eprint/4199

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