Sökning: "Arnold Svanström"

Hittade 1 uppsats innehållade orden Arnold Svanström.

  1. 1. Properties of a generalized Arnold’s discrete cat map

    Magister-uppsats, Linnéuniversitetet/Institutionen för matematik (MA)

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

    Sammanfattning : 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. LÄS MER