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Strange attractors.

Spear, Daniel.

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Strange attractors.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Strange attractors./
作者:	Spear, Daniel.
面頁冊數:	99 p.
附註:	Adviser: Newton Greenberg.
Contained By:	Masters Abstracts International45-06.
標題:	Physics, Theory. -
電子資源:	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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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.
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