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Transition to chaos : the orbit diagram and the Mandelbrot set

Author: Gary Welz; Robert L Devaney; Science Television Co.
Publisher: New York : The Co., 1990.
Edition/Format:   VHS video : VHS tape : NTSC color broadcast system   Visual material : EnglishView all editions and formats
Database:WorldCat
Summary:
In this lecture Prof. Robert L. Devaney explores and explains two of the more fascinating images that arise in the study of Dynamical Systems, namely the orbit (or bifurcation) diagram and the Mandelbrot Set. Both of these images arise when a quadratic function is iterated, so the level of mathematical sophistication necessary to understand the lecture is minimal. The main goal of the lecture is to describe the  Read more...
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Material Type: Videorecording
Document Type: Visual material
All Authors / Contributors: Gary Welz; Robert L Devaney; Science Television Co.
OCLC Number: 731792444
Description: 1 videocassette (VHS NTSC) (64 min.) : sd., col. ; 1/2 in.
Responsibility: Science Television Company ; produced and directed by Gary Welz.

Abstract:

In this lecture Prof. Robert L. Devaney explores and explains two of the more fascinating images that arise in the study of Dynamical Systems, namely the orbit (or bifurcation) diagram and the Mandelbrot Set. Both of these images arise when a quadratic function is iterated, so the level of mathematical sophistication necessary to understand the lecture is minimal. The main goal of the lecture is to describe the relationship between these two images, how they are generated as well as what they mean mathematically.

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