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) |
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| Supervisor name: | Broer, H.W. and Vegter, G. |
| Degree programme: | Mathematics |
| Thesis type: | Bachelor's Thesis |
| Language: | English |
| Date Deposited: | 13 Jul 2018 |
| Last Modified: | 20 Jul 2018 12:27 |
| URI: | https://fse.studenttheses.ub.rug.nl/id/eprint/17847 |
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