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This test consists of 15 multiple choice questions and 5 short answer questions.

Multiple Choice Questions

1. 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) Software visualization.
(b) The Navier-Stokes equation.
(c) Dynamic equilibrium.
(d) Period doubling bifurcation.

2. Albert Libchaber made the first experimental observation of the _____ that leads to chaos and turbulence in convective Rayleigh-Benard systems.
(a) Poincare conjecture.
(b) Fractal basin boundaries.
(c) Bifurcation cascade.
(d) No-slip condition.

3. From what institution did Harry L. Swinney earn his Ph.D.?
(a) Johns Hopkins University.
(b) The University of Illinois.
(c) The University of Bonn.
(d) Caltech.

4. What is a sub-discipline of fluid mechanics that deals with the natural science of fluids (liquids and gases) in motion?
(a) Fractal basin boundaries.
(b) Theoretical physics.
(c) Poincare conjecture.
(d) Fluid dynamics.

5. In mathematics, what refers to a map that exhibits some sort of chaotic behavior?
(a) Chaotic maps.
(b) Space-time maps.
(c) Behavioral maps.
(d) Stability maps.

6. When was Mitchell Feigenbaum born?
(a) 1947.
(b) 1949.
(c) 1959.
(d) 1944.

7. Albert Libchaber graduated with a bachelor degree in mathematics from what institution?
(a) The University of Paris.
(b) The University of Chicago.
(c) Harvard University.
(d) Johns Hopkins University.

8. Who is attributed with the following quote in Chapter 5, "Strange Attractors": "Big whorls have little whorls which feed on their velocity, and little whorls have lesser whorls and so on to viscosity"?
(a) Harry L. Swinney.
(b) Mitchell Feigenbaum.
(c) Lewis F. Richardson.
(d) Johann Wolfgang von Goethe.

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

10. What is the atomic number of helium?
(a) 2.
(b) 14.
(c) 7.
(d) 21.

11. What refers to systems whose behavior is intrinsically non-deterministic?
(a) Fractal.
(b) Stochastic.
(c) Incongruity.
(d) Oscillation.

12. When did Albert Libchaber win the Wolf Prize in Physics?
(a) 1971.
(b) 1955.
(c) 1952.
(d) 1986.

13. When was Michael Barnsley's book SuperFractals published?
(a) 2006.
(b) 1998.
(c) 1995.
(d) 2001.

14. Albert Libchaber's results in his work with helium paralleled what equation that relates the pressure, viscosity, velocity, density of a fluid?
(a) Chaos theory.
(b) The Navier-Stokes equation.
(c) Bifurcation theory.
(d) Cosmic arrhythmias.

15. Albert Libchaber was a professor at what institution from 1983 to 1991?
(a) The University of Bonn.
(b) The University of Illinois.
(c) The Ecole Normale Supérieure.
(d) The University of Chicago.

Short Answer Questions

1. Where did Michael Barnsley earn his Ph.D.?

2. In physics and systems theory, what states that, for all linear systems, the net response at a given place and time caused by two or more stimuli is the sum of the responses which would have been caused by each stimulus individually?

3. What book did Michael Barnsley publish in 1988?

4. Who is attributed with the following quote from Chapter 6, "Universality": "The iterating of these lines brings gold; the framing of this circle on the ground brings whirlwinds, tempests, thunder and lightning"?

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

(see the answer keys)

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