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Snap-back repellers in one-and two-dimensional maps

Staal, Jasper (2019) Snap-back repellers in one-and two-dimensional maps. Master's Thesis / Essay, Mathematics.

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Abstract

In this thesis we will studysnap-back repellersin one-and two dimensional maps. A repelling fixed point is a snap-back repeller if a point unequal to the fixed point in a repelling neighborhood of the fixed points returns to the fixed point after a finite number of iterations. The main reason to study snap-back repellers is to show chaos. Marotto has proven that a dynamical system is chaotic if a fixed point is a snap-back repeller.We will discuss some examples of one-dimensional maps and we will go to two-dimensional maps using a rotation. Wealsodidnumerical computations to find snap-back repellers in two-dimensional maps, forexamplethe logistic map with a rotation, to show how snap-back repellers can be found.

Item Type: Thesis (Master's Thesis / Essay)
Supervisor:
Supervisor nameSupervisor E mail
Sterk, A.E.A.E.Sterk@rug.nl
Degree programme: Mathematics
Thesis type: Master's Thesis / Essay
Language: English
Date Deposited: 04 Jun 2019
Last Modified: 13 Jun 2019 11:02
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/19582

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