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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. 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?
(a) Period doubling bifurcation.
(b) Limit-cycle.
(c) Fractal basin boundaries.
(d) Fractal compression.

2. When was Albert Libchaber born?
(a) 1916.
(b) 1927.
(c) 1934.
(d) 1922.

3. In control theory, a system is _____ if any of the roots of its characteristic equation has real part greater than zero.
(a) Stable.
(b) Unstable.
(c) Unchanging.
(d) Changing.

4. In physics and systems theory, what states that, for all linear systems, the net response at a given place and time caused by two or more stimuli is the sum of the responses which would have been caused by each stimulus individually?
(a) Pattern formation.
(b) The superposition principle.
(c) Bifurcation cascade.
(d) Bifurcation theory.

5. When was Mitchell Feigenbaum born?
(a) 1959.
(b) 1947.
(c) 1944.
(d) 1949.

Short Answer Questions

1. What refers to the spread of momentum between particles of matter, usually in the liquid state?

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?

3. Where was Mitchell Feigenbaum born?

4. When did Albert Libchaber join the faculty at The Rockefeller University?

5. Albert Libchaber's results in his work with helium paralleled what equation that relates the pressure, viscosity, velocity, density of a fluid?

Short Essay Questions

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

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

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

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

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

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

7. What interests in art and culture are described of Mitchell Feigenbaum in Chapter 6, "Universality"?

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

9. To whom does the author compare the background of Albert Libchaber in Chapter 7, "The Experimenter"? When was Albert Libchaber born?

10. What was Harry Swinney known for in Chapter 5, "Strange Attractors"? Where did his interests lie?

(see the answer keys)

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