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1	Tribonacci Cat Map : A discrete chaotic mapping with Tribonacci matrix Fransson, Linnea January 2021 (has links) Based on the generating matrix to the Tribonacci sequence, the Tribonacci cat map is a discrete chaotic dynamical system, similar to Arnold's discrete cat map, but on three dimensional space. In this thesis, this new mapping is introduced and the properties of its matrix are presented. The main results of the investigation prove how the size of the domain of the map affects its period and explore the orbit lengths of non-trivial points. Different upper bounds to the map are studied and proved, and a conjecture based on numerical calculations is proposed. The Tribonacci cat map is used for applications such as 3D image encryption and colour encryption. In the latter case, the results provided by the mapping are compared to those from a generalised form of the map. Arnold's cat map Tribonacci matrix chaotic map discrete dynamical system linear recurrence sequence Trisano period 3D image encryption colour encryption Mathematics Matematik Discrete Mathematics Diskret matematik