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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. When was Michael Barnsley's book SuperFractals published?
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?
(b) Fractal basin boundaries.
(c) Period doubling bifurcation.
(d) Fractal compression.
3. Albert Libchaber made the first experimental observation of the _____ that leads to chaos and turbulence in convective Rayleigh-Benard systems.
(a) No-slip condition.
(b) Poincare conjecture.
(c) Fractal basin boundaries.
(d) Bifurcation cascade.
4. What is a measure of the resistance of a fluid which is being deformed by either shear stress or tensile stress?
(a) Cosmic arrhythmias.
5. When was Mitchell Feigenbaum offered a post at the Los Alamos National Laboratory in New Mexico to study turbulence in fluids?
Short Answer Questions
1. What occurs when a fluid flows in parallel layers, with no disruption between the layers?
2. According to Gleick, Albert Libchaber had a similar background to who, living as a refugee during World War II?
3. With whom did Harry Swinney perform experiments on the onset of turbulence for water in rotating cylinders?
4. In control theory, a system is _____ if any of the roots of its characteristic equation has real part greater than zero.
5. Where did Albert Libchaber earn a M.S. degree in physics?
Short Essay Questions
1. Who is Michael Barnsley? How is his early career described in Chapter 8, "Images of Chaos"?
2. Describe the Julia set. How is it related to the Fatou set?
3. What is the definition of a bifurcation diagram?
4. How are Feigenbaum constants defined?
5. Describe the Mandelbrot set. To what it is closely related?
6. What is the Taylor vortex flow and when does it emerge?
7. How are the Navier-Stokes equations defined? For whom are they named?
8. What was Harry Swinney known for in Chapter 5, "Strange Attractors"? Where did his interests lie?
9. What did Mitchell Feigenbaum determine needed to happen in Chapter 6, "Universality"? Where was he working?
10. How does the author differentiate between theorists and experimentalists in Chapter 5, "Strange Attractors"?
This section contains 825 words
(approx. 3 pages at 300 words per page)