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Dimensions of attractors

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Dimensions of attractors

Mishra, Shashi Kant (1990) Dimensions of attractors. Masters thesis, Concordia University.

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Abstract

This thesis studies different types of dimensions of attractors in low dimensional dissipative dynamical systems. Some of them can be calculated by looking directly at the attractor, other by looking at the system, taking or not into account a probability distribution. We give some simple examples to make the ideas clear, but the generalized baker's transformation is taken as a model for such studies. This transformation is used to illustrate some conjectures about typical chaotic attractor. This thesis may be considered as a partial report of the seminal article of Farmer et al (12)

Divisions:Concordia University > Faculty of Arts and Science > Mathematics and Statistics
Item Type:Thesis (Masters)
Authors:Mishra, Shashi Kant
Pagination:vii, 55 leaves : ill. ; 29 cm.
Institution:Concordia University
Degree Name:Theses (M.Sc.)
Program:Mathematics and Statistics
Date:1990
Thesis Supervisor(s):Joyal, Pierre
ID Code:3032
Deposited By:Concordia University Libraries
Deposited On:27 Aug 2009 15:23
Last Modified:08 Dec 2010 10:30
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