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- J. C. Sprott
- Department of Physics
- University of Wisconsin – Madison
- (USA)
- Presented for
- Wednesday Night @ the Lab
- in Madison, WI
- on July 10, 2013
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- Randomness conceals our ignorance
- Simplicity can produce complexity
- Chaos requires determinism
- The rules provide insight
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- Populations of cities
- Size of moon craters
- Size of solar flares
- Size of computer files
- Casualties in wars
- Occurrence of personal names
- Number of papers scientists write
- Number of citations received
- Sales of books, music, …
- Individual wealth, personal income
- Many others …
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- Chaos is the unpredictable behavior of deterministic systems
- It is sensitive to initial conditions (the “butterfly effect”)
- It produces erratic fluctuations and never repeats
- Systems that produce fractal spatial patterns usually exhibit temporal
chaos
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- You tend to befriend friends of your friends
- You tend to mirror others’ friendliness toward you
- You have a limited capacity for maintaining friendships
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- Many simple models exhibit self-organization (the spontaneous
development of complex structures).
- Models with symmetric rules can have highly asymmetric behavior
(symmetry breaking).
- Some effects may not have easily identifiable causes.
- The 2nd law of thermodynamics (increasing disorder) is not violated
since these systems are far from equilibrium (driven by energy flow).
- If there is intelligent design in nature, it is at a more fundamental
level (the underlying laws of nature) than its proponents commonly
suppose.
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- http://sprott.physics.wisc.edu/ lectures/selforg.ppt (this talk)
- http://sprott.physics.wisc.edu/
- chaostsa/ (my book on Chaos)
- sprott@physics.wisc.edu (contact me)
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