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Spatial discretization of discrete dynamical systems

thesis
posted on 2001-01-01, 00:00 authored by Jamie. Mustard
Investigates what can go wrong when dynamical systems are modelled with a computer. Number theoretic techniques were used to detail the effects "discretization" errors caused by computer round-off had on characteristics of a system. In particular, a relationship was established between the occurrence of long cycles in a system and the classical result known as Artin's conjecture. Algorithms were then developed which eliminated discretization errors.

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iv, 184 leaves ; 30 cm.

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thesis

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thesis

Language

eng

Notes

Thesis (Ph.D.)--Deakin University, Victoria, 2001.

Degree name

Ph.D.

Faculty

Faculty of Business and Law

School

School of Information and Business Analytics

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