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Strange attractors.

Spear, Daniel.

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Strange attractors.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Strange attractors./
Author:	Spear, Daniel.
Description:	99 p.
Notes:	Adviser: Newton Greenberg.
Contained By:	Masters Abstracts International45-06.
Subject:	Physics, Theory. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1444712
ISBN:	9780549064138

Strange attractors.
Spear, Daniel.

Strange attractors. - 99 p.

Adviser: Newton Greenberg.

Thesis (M.S.)--State University of New York at Binghamton, 2007.

This library thesis project explores strange attractors. This includes defining what a strange attractor is, understanding characteristics of attractors such as correlation dimension and Lyapunov exponents, and how to extract a strange attractor from a many variable physical system. In order to gain an understanding of strange attractors, aspects of nonlinear dynamics are first examined. These aspects include fixed points, limit cycles, and bifurcations. The concept of dimension is then explored and it is shown how objects can have non-integer dimension. Common properties of chaotic systems are then introduced through the examination of the double pendulum. Finally, strange attractors are studied. These include the Lorenz Attractor, the Rossler Attractor and a strange attractor produced by an electronic circuit. These attractors are analyzed using computer programs written in Microsoft Visual C++. Actual data taken from the electronic circuit is also analyzed through a method known as attractor reconstruction.

ISBN: 9780549064138Subjects--Topical Terms:

1019422
Physics, Theory.

Strange attractors.
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020 $a 9780549064138
035 $a (UMI)AAI1444712
035 $a AAI1444712
040 $a UMI $c UMI
100 1 $a Spear, Daniel. $3 1266321
245 1 0 $a Strange attractors.
300 $a 99 p.
500 $a Adviser: Newton Greenberg.
500 $a Source: Masters Abstracts International, Volume: 45-06, page: 3181.
502 $a Thesis (M.S.)--State University of New York at Binghamton, 2007.
520 $a This library thesis project explores strange attractors. This includes defining what a strange attractor is, understanding characteristics of attractors such as correlation dimension and Lyapunov exponents, and how to extract a strange attractor from a many variable physical system. In order to gain an understanding of strange attractors, aspects of nonlinear dynamics are first examined. These aspects include fixed points, limit cycles, and bifurcations. The concept of dimension is then explored and it is shown how objects can have non-integer dimension. Common properties of chaotic systems are then introduced through the examination of the double pendulum. Finally, strange attractors are studied. These include the Lorenz Attractor, the Rossler Attractor and a strange attractor produced by an electronic circuit. These attractors are analyzed using computer programs written in Microsoft Visual C++. Actual data taken from the electronic circuit is also analyzed through a method known as attractor reconstruction.
590 $a School code: 0792.
650 4 $a Physics, Theory. $3 1019422
690 $a 0753
710 2 $a State University of New York at Binghamton. $b Physics, Applied Physics, and Astronomy. $3 1266322
773 0 $t Masters Abstracts International $g 45-06.
790 $a 0792
790 1 0 $a Greenberg, Newton, $e advisor
791 $a M.S.
792 $a 2007
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=1444712