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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. Where was Mitchell Feigenbaum born?**
**(a)** Biloxi, Mississippi. **(b)** Hartford, Connecticut. **(c)** Frankfort, Kentucky. **(d)** New York, New York.

**2. What book did Michael Barnsley publish in 1988?**
**(a)** Physical Review Letters. **(b)** Deterministic Nonperiodic Flow. **(c)** Fractals Everywhere. **(d)** The Structure of Scientific Revolutions.

**3. What refers to a rough or fragmented geometric shape that can be split into parts, each of which is a reduced-size copy of the whole?**
**(a)** Gradient. **(b)** Oscillation. **(c)** Fractal. **(d)** Revolutions.

**4. What will drain rapidly from large-scale motions to small-scale motions?**
**(a)** Viscosity. **(b)** Fractal. **(c)** Turbulence. **(d)** Energy.

**5. What mathematical term refers to a bifurcation in which the system switches to a new behavior with twice the period of the original system in a discrete dynamical system?**
**(a)** Period doubling bifurcation. **(b)** The Navier-Stokes equation. **(c)** Software visualization. **(d)** Dynamic equilibrium.

## Short Answer Questions

**1.** From what institution did Albert Libchaber earn his Ph.D.?

**2.** Through this work on the study of quantum behavior of superfluid helium, Albert Libchaber invented what?

**3.** How old was Mitchell Feigenbaum when he was offered a post at the Los Alamos National Laboratory?

**4.** Albert Libchaber made the first experimental observation of the _____ that leads to chaos and turbulence in convective Rayleigh-Benard systems.

**5.** In what year did Mitchell Feigenbaum complete his doctorate with a thesis on dispersion relations?

## Short Essay Questions

**1.** How is the Taylor-Couette flow defined?

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

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

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

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

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

**7.** Describe the Mandelbrot set. To what it is closely related?

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

**9.** How are Feigenbaum constants defined?

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

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