Essays about: "linear recurrence sequence"

Found 2 essays containing the words linear recurrence sequence.

1. 1. Tribonacci Cat Map : A discrete chaotic mapping with Tribonacci matrix

   University essay from Linnéuniversitetet/Institutionen för matematik (MA)

   Author : Linnea Fransson; [2021]
   Keywords : Arnold s cat map; Tribonacci matrix; chaotic map; discrete dynamical system; linear recurrence sequence; Trisano period; 3D image encryption; colour encryption;

   Abstract : 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. READ MORE

3. 2. Properties of a generalized Arnold’s discrete cat map

   University essay from Linnéuniversitetet/Institutionen för matematik (MA)

   Author : Fredrik Svanström; [2014]
   Keywords : Arnold’s discrete cat map; Hyperbolic toral automorphism; Discrete-time dynamical systems; Poincaré recurrence theorem; Number theory; Linear algebra; Fibonacci numbers; Pell numbers; Cryptography;

   Abstract : After reviewing some properties of the two dimensional hyperbolic toral automorphism called Arnold's discrete cat map, including its generalizations with matrices having positive unit determinant, this thesis contains a definition of a novel cat map where the elements of the matrix are found in the sequence of Pell numbers. This mapping is therefore denoted as Pell's cat map. READ MORE