Chapter 1: What is complexity?
Chapter 2: Dynamics, Chaos, and Prediction
- How did Galileo's experiments contradict Aristotle's ideas about motion?
- In what way did Newton extend Galileo's ideas about motion?
- How did chaos dash Laplace's dream of complete prediction?
- Who is credited with the first study of chaos? What problem did he study?
- Explain the difference between linear and nonlinear systems? Why is this important?
- What are the possible final states for the logistic map?
Be able to explain what they are.
- What is Feigenbaum's constant? What does it have to do with
phase transitions?
Chapter 3: Information
- Be able to explain Maxwell's thought experiment.
Why was it important?
- Define entropy. How are enropy and information connected?
- What is Boltzmann's big idea in statistical mechanics?
- What is Boltzmann's restatement of the second law of thermodynamics?
- How did Shannon extend these ideas?
Chapter 15: The Science of Networks
- What is network thinking?
- What is the small-world property?
- What are the four "notable" properties of scale-free networks?
- Do you think Google knew that the degree distribution for web
pages followed a power law before instituting their page rank scheme?
Why or why not?
Chapter 16: Applying Network Science to Real-World Networks
- Why would an evolutionary process favor brain networks with a
small-world property?
- Why is a power-law degree distribution essential for gene
regulatory networks?
- What vaccination technique is proposed for an at-risk population?
(assuming that hubs are unknown)
- What reasons does the author give for the widespread presence of
scale-free networks in natural systems?
- Outline the three reasons some scientists are not jumping on the
scale-free network bandwagon.
- Think of an example in which a static network property predicts
a dynamic network feature.
Chapter 17: The Mystery of Scaling
- What is the scaling mystery in biology?
- What is an organism's metabloic rate?
- Explain Kleiber's 3/4ths power law.
- What does the metabolic scaling theory attempt explain?
- What is the connection between power laws and fractals?
- What is the "space-filling" assumption for the circulatory
system?
- What does it mean for our circulatory system to be a fractal
network that approximates a fourth dimension?
- Why do dogs provide a counterexample to the quarter-power
scaling laws?
- What is Zipf's law? (note rank plot)
- What were Mandelbrot and Simon's explanation for Zipf's law?
Chapter 18: Evolution, Complexified
- What is the definition of a gene and how do they operate?
- What is DNA methylation and why is it important?
- What assumption did (do?) biotech companies make about how
genes operate? Was it helpful?
- What does the rock group "Devo" have to say about evolution?
- What are genetic switches? How would Evo-devoists use them
to explain complexity?
- How do the experiments with beaks support the Evo-devoists position?
- Describe Kaufman's random boolean networks?
- What is Kaufman's proposed 4th law? Why is it important?
Chapter 19: The Past and Future of the Science of Complexity
- What are Horgan's two main criticisms of Complexity?
- Give an example of a general principle that is not useful.
- At what is Norbert looking (page 296)?
- Our author summarizes several attempts by prominent scientists
to develop complexity theory (e.g. cybernetics and system theory).
Why did they fail?
- What current academic fields are an outgrowth of attempts to
develop complexity theory?
- What are the most significant contributions (so far) of complex
systems research?
- What branching does the author see in the future of complexity
research?
- What does Strogatz think is needed to move forward in a dramatic
way with complexity research?