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This test consists of 5 multiple choice questions, 5 short answer questions, and 10 short essay questions.

Multiple Choice Questions

1. How old was Mitchell Feigenbaum when he was offered a post at the Los Alamos National Laboratory?
(a) 27.
(b) 29.
(c) 35.
(d) 22.

2. In vector calculus, what refers to a vector field that points in the direction of the greatest rate of increase of the scalar field, and whose magnitude is the greatest rate of change?
(a) Cantor dust.
(b) Gradient.
(c) Euclidean space.
(d) Boundary layer.

3. From what institution did Heinz-Otto Peitgen earn his Ph.D.?
(a) Johns Hopkins University.
(b) The University of Bonn.
(c) The University of Wisconsin-Madison.
(d) The Ecole Normale Supérieure.

4. In fluid dynamics, what condition for viscous fluids states that at a solid boundary, the fluid will have zero velocity relative to the boundary?
(a) No-slip condition.
(b) Chaos theory.
(c) Period doubling bifurcation.
(d) Momentum diffusion.

5. According to Gleick, Albert Libchaber had a similar background to who, living as a refugee during World War II?
(a) Michael Barnsley.
(b) Albert Libchaber.
(c) Benoit Mandelbrot.
(d) Leo Kadanoff.

Short Answer Questions

1. What is the most abundant element in the universe?

2. What refers to a closed trajectory in phase space having the property that at least one other trajectory spirals into it either as time approaches infinity or as time approaches negative infinity?

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

4. What book did Michael Barnsley publish in 1988?

5. Where is the Scripps Research Institute headquartered?

Short Essay Questions

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

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

3. How is Mitchell Feigenbaum described? What was his early life like, according to the author?

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

5. How were fractal basin boundaries used in Chapter 8, "Images of Chaos"? What scientists studied the transitions?

6. Describe the career of Heinz-Otto Peitgen. Where is Peitgen from?

7. How is the Taylor-Couette flow defined?

8. What problems did turbulence cause for physicists and scientists, according to the author in Chapter 5, "Strange Attractors"?

9. What is the definition of a bifurcation diagram?

10. Describe the Julia set. How is it related to the Fatou set?

(see the answer keys)

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