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Introduction to the Study of Complexity
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Properties Common to Complex Systems
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Core Disciplines, Goals, and Methodologies of the Sciences of Complexity
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Definitions of Complexity
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What are Complex Systems? The Experts Weigh In
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Introduction to NetLogo
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Our First NetLogo Model (Optional Introduction to NetLogo programming)
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Our Second NetLogo Model (Optional Introduction to NetLogo programming, part 2)
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Unit 1 Homework (Optional)
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No Test for Unit 1
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Introduction to Dynamics
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Iteration
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Linear versus Nonlinear Systems
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Logistic Map
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Period Doubling Route to Chaos
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Universality in Chaos
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Guest Spot: Liz Bradley, University of Colorado and SFI
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Unit 2 Homework
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Unit 2 Homework Solutions
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Take Unit 2 Test
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Introduction
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The Koch Curve
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Fractal Dimension
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Guest Spot: John Rundle
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Examples of Fractal Dimension
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Box-Counting Dimension
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Unit 3 Homework
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Take Unit 3 Test
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Introduction
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Maxwell's Demon
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Entropy and Statistical Mechanics
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Shannon Information
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Models Illustrating Shannon Information Content
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Guest Spot: Jim Crutchfield
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Unit 4 Homework
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Take Unit 4 Test
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Introduction
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Evolving Control Programs for Robby the Robot
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Genetic Programming and Genetic Art
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Evolving Virtual Creatures
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Guest Spot: Stephanie Forrest
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Unit 5 Homework
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Take Unit 5 Test
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Introduction
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Game of Life
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Elementary Cellular Automata
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Cellular Automata as Dynamical Systems
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Cellular Automata as Computers
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Evolving CAs with GAs
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Unit 6 Homework
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Take Unit 6 Test
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Introduction
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Flocking and Schooling
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Synchronization
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Ant Foraging and Task Allocation
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Information Processing in Biological Systems
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Guest Spot: David Krakauer
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Guest Spot: Doyne Farmer
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Unit 7 Homework
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Take Unit 7 Test
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Introduction
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The Prisoner's Dilemma
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The El Farol Problem
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Guest Spot: Brian Arthur
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Unit 8 Homework
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Take Unit 8 Test
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Introduction
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Network Terminology
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Small-World Networks
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Scale-Free and Long-Tailed Degree Distributions
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Guest Spot: Mark Newman
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Take Unit 9 Test
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What is Scaling?
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Metabolic Scaling
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Scaling in Cities
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Guest Spot: Luis Bettencourt
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Wrapping Up
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Take Unit 10 Test
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3.6 Box-Counting Dimension » Exercise 1
Download BoxCountingDimension.nlogo. For each fractal example, compute the box counting dimension, starting with three different initial box lengths, and continuing for at least 30 iterations of box counting. Compare the box counting dimension with the Hausdorff dimension. How is the difference between the two affected by different initial box lengths?