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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. Albert Libchaber made the first experimental observation of the _____ that leads to chaos and turbulence in convective Rayleigh-Benard systems.
(a) Bifurcation cascade.
(b) Fractal basin boundaries.
(c) No-slip condition.
(d) Poincare conjecture.
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?
(a) Fractal basin boundaries.
(b) Fractal compression.
(d) Period doubling bifurcation.
3. From what institution did Harry L. Swinney earn his Ph.D.?
(b) The University of Bonn.
(c) The University of Illinois.
(d) Johns Hopkins University.
4. What will drain rapidly from large-scale motions to small-scale motions?
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) Dynamic equilibrium.
(b) Period doubling bifurcation.
(c) The Navier-Stokes equation.
(d) Software visualization.
Short Answer Questions
1. 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?
2. Albert Libchaber's results in his work with helium paralleled what equation that relates the pressure, viscosity, velocity, density of a fluid?
3. When was Heinz-Otto Peitgen born?
4. What exists when a reversible reaction ceases to change its ratio of reactants/products, but substances move between the chemicals at an equal rate, meaning there is no net change?
5. In what year was Mitchell Feigenbaum awarded the Wolf Prize in Physics?
Short Essay Questions
1. What was Harry Swinney known for in Chapter 5, "Strange Attractors"? Where did his interests lie?
2. How are the Navier-Stokes equations defined? For whom are they named?
3. What is the definition of a bifurcation diagram?
4. What is the Taylor vortex flow and when does it emerge?
5. Describe the career of Heinz-Otto Peitgen. Where is Peitgen from?
6. How are Feigenbaum constants defined?
7. Who is Michael Barnsley? How is his early career described in Chapter 8, "Images of Chaos"?
8. To whom does the author compare the background of Albert Libchaber in Chapter 7, "The Experimenter"? When was Albert Libchaber born?
9. How does the author describe the evolution of chaos in Chapter 8, "Images of Chaos"?
10. Where did Mitchell Feigenbaum meet Michael Barnsley in Chapter 8, "Images of Chaos"? What did their discussions lead to?
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