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This test consists of 5 short answer questions, 10 short essay questions, and 1 (of 3) essay topics.

Short Answer Questions

1. When was Harry L. Swinney born?

2. Albert Libchaber graduated with a bachelor degree in mathematics from what institution?

3. What occurs at higher velocities where eddies or small packets of fluid particles form leading to lateral mixing?

4. In what year was Mitchell Feigenbaum awarded the Wolf Prize in Physics?

5. When was Michael Barnsley's book SuperFractals published?

Short Essay Questions

1. How are Feigenbaum constants defined?

2. Who was Johann Wolfgang von Goethe? For what great work is he most well known?

3. How did Barnsley's approach differ from that of Richter and Peitgen in Chapter 8, "Images of Chaos"?

4. How are the Navier-Stokes equations defined? For whom are they named?

5. What is the Taylor vortex flow and when does it emerge?

6. How had Albert Libchaber gained fame in his career, according to the author in Chapter 7, "The Experimenter"?

7. Who is Michael Barnsley? How is his early career described in Chapter 8, "Images of Chaos"?

8. Where did Mitchell Feigenbaum meet Michael Barnsley in Chapter 8, "Images of Chaos"? What did their discussions lead to?

9. What is the definition of a bifurcation diagram?

10. Whose results did Albert Libchaber inadvertently recreate in Chapter 7, "The Experimenter"?

Essay Topics

Write an essay for ONE of the following topics:

Essay Topic 1

Discuss the history of chaos theory as it relates to the biological and ecological sciences. When and how did ecologists come to use chaos in their theories?

Essay Topic 2

Discuss the life and work of Thomas S. Kuhn and the scientific revolution he originated. What book did Kuhn publish and what was its impact on science?

Essay Topic 3

Define and discuss fractals, peano curves, Sierpinski carpets and Sierpinski gaskets. When were Sierpinski carpets first discovered?

(see the answer keys)

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