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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?**
**(a)** 2001. **(b)** 1998. **(c)** 2006. **(d)** 1995.

**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)** Limit-cycle. **(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. **(b)** Viscosity. **(c)** Gradient. **(d)** Physiology.

**5. When was Mitchell Feigenbaum offered a post at the Los Alamos National Laboratory in New Mexico to study turbulence in fluids?**
**(a)** 1973. **(b)** 1977. **(c)** 1976. **(d)** 1974.

## 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"?

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