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The Dynamics of the One-Dimensional Tent Map Family and Quadratic Family

van Harten, Marijke (2018) The Dynamics of the One-Dimensional Tent Map Family and Quadratic Family. Bachelor's Thesis, Mathematics.

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Abstract

The goal of this paper is to give an overview of the dynamics of two one dimensional discrete dynamical systems: the Tent map family Tc and the quadratic family Fμ (also known as the logistic map) are investigated. The dynamics for different values of the parameters μ and c are studied. The quadratic family has chaotic regions for μ > 3 and the Tent map family has chaotic regions for c > 1. Furthermore, the Cantor sets that occur as non-wandering sets for μ > 4 and c > 2 are studied.

Item Type: Thesis (Bachelor's Thesis)
Supervisor:
Supervisor nameSupervisor E mail
Broer, H.W.H.W.Broer@rug.nl
Vegter, G.G.Vegter@rug.nl
Degree programme: Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 13 Jul 2018
Last Modified: 20 Jul 2018 12:27
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/17847

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