Spatial discretization of discrete dynamical systems

Mustard, Jamie. 2001, Spatial discretization of discrete dynamical systems, Ph.D. thesis, School of Management Information Systems, Deakin University.

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Title Spatial discretization of discrete dynamical systems
Author Mustard, Jamie.
Institution Deakin University
School School of Management Information Systems
Faculty Faculty of Business and Law
Degree name Ph.D.
Date submitted 2001
Keyword(s) Differentiable dynamical systems - Computer simulation
Number theory
Discriminant analysis
Artin's conjecture
Summary 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.
Language eng
Description of original iv, 184 leaves ; 30 cm.
Dewey Decimal Classification 515.3520113
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