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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 compression.
(d) Fractal basin boundaries.

2. Who along with Heinz-Otto Peitgen studied phase transitions, nonmagnetization and magnetization in materials and their picture of those boundaries showed the complex beauty that began to seem to natural?
(a) Feigenbaum.
(b) Kadanoff.
(c) Mandelbrot.
(d) Richter.

3. What company did Michael Barnsley found in 1987?
(a) Iterated Systems Incorporated.
(b) Xerox.
(c) IBM.
(d) The Dynamical Systems Collective.

4. 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) Boundary layer.
(b) Gradient.
(c) Euclidean space.
(d) Cantor dust.

5. What refers to the static or animated 2-D or 3-D visual representation of information about software systems based on their structure, size, history or behavior?
(a) Cosmic arrhythmias.
(b) Fractal compression.
(c) Software visualization.
(d) Software metric.

Short Answer Questions

1. Where was Heinz-Otto Peitgen born?

2. Where was Gustav Mahler born?

3. According to the author, "to play the chaos game quickly, you need a computer with a graphics screen and a random number generator, but in principle a sheet of paper and" what will work as well?

4. What will drain rapidly from large-scale motions to small-scale motions?

5. If a system is in what state, then the recently observed behavior of the system will continue into the future?

Short Essay Questions

1. What is the definition of a bifurcation diagram?

2. What did Mitchell Feigenbaum determine needed to happen in Chapter 6, "Universality"? Where was he working?

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

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

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

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

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

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

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

10. How is turbulence defined in Chapter 5, "Strange Attractors"?

(see the answer keys)

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