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http://worldcat.org/entity/work/id/375057533

Transition to chaos the orbit diagram and the Mandelbrot Set

Dr. Devaney explores and explains two of the images that arise in the study of dynamical systems, the orbit diagram and the Mandelbrot Set. 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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  • "Orbit diagram and the Mandelbrot Set"
  • "Orbit diagram and the Mandelbrot Set"@en
  • "Visualization in mathematics"@en

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  • "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."
  • "Sommaire: 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. Several important related concepts in dynamical systems theory are also described, including period doubling bifurcations, Feigenbaum's number, Sarkovskii's theorem and the role of critical orbits. The mathematical concepts are illustrated with colorful slides, films and computer experiments done in real time."
  • "Dr. Devaney explores and explains two of the images that arise in the study of dynamical systems, the orbit diagram and the Mandelbrot Set. 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."
  • "Dr. Devaney explores and explains two of the images that arise in the study of dynamical systems, the orbit diagram and the Mandelbrot Set. 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."@en
  • ""Devaney explores and explains two of the most fascinating images in the study of dynamical systems: the orbit (or bifurcation) diagram, and the Mandlebrot Set ... 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."--Container."

genre

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  • "Educational films"@en
  • "Educational videos"@en
  • "Nonfiction television programs"@en
  • "Science television programs"@en
  • "Television programs"@en

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  • "Transition to chaos : the orbit diagram and the Mandelbrot set"
  • "The Transition to chaos the orbit diagram and the Mandelbrot Set : with Robert L. Devaney"
  • "Transition to chaos the orbit diagram and the Mandelbrot Set"
  • "Transition to chaos the orbit diagram and the Mandelbrot Set"@en
  • "Transition to chaos the orbit diagram and the Mandelbrot set"
  • "Transition to chaos the orbit diagram and the mandelbrot set"

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