Dynamics amidst folding and twisting in 2-dimensional maps

Swier Harm Pieter Garst

Research output: ThesisThesis fully internal (DIV)

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Abstract

A predator-prey model from biodynamics was the inspiration for the definition of a ma- thematical toy model that folds and twists the plane. These fold an twist are repeated and repeated, again and again. Then it turns out that a number of mathematical properties, for example chaotic behavior, occurs in both models. But not only in the predator-prey map the fold and twist is a fundamental property this fold and twist occurs also in the Lorenz-63 model which is originated from meteorology. The mathematical properties of this model can also be better understood as it is considered as a fold and twist. So the fold and twist is a fundamental property of maps where different states at one moment leads to the same state in the next one.
Original languageEnglish
QualificationDoctor of Philosophy
Awarding Institution
  • University of Groningen
Supervisors/Advisors
  • Broer, Henk, Supervisor
  • Aarts, Jan, Co-supervisor, External person
  • Sterk, Alef, Co-supervisor
Award date19-Oct-2018
Place of Publication[Groningen]
Publisher
Print ISBNs978-94-034-0945-0
Electronic ISBNs978-94-034-0945-3
Publication statusPublished - 2018

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