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complex systems

complex systems

introduction to complex systems and cities analysis for a keynote competition in Fudan University

Fabien Pfaender

August 02, 2015
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  1. xn+1 = xn cos(a) - (yn - xn 2) sin(a)

    yn+1 = xn sin(a) + (yn - xn 2) cos(a) Henon phase strange attractor
  2. xn+1 = xn cos(a) - (yn - xn 2) sin(a)

    yn+1 = xn sin(a) + (yn - xn 2) cos(a) Henon phase strange attractor
  3. Disorder Torus Flock alignment cohesion separation 0.2 1.5 3.0 1.5

    1.5 3.0 3 1.5 3.0 Experiment developed in processing.org based on Craig Reynolds’s Boids (1986)
  4. Disorder Torus Flock alignment cohesion separation 0.2 1.5 3.0 1.5

    1.5 3.0 3 1.5 3.0 Experiment developed in processing.org based on Craig Reynolds’s Boids (1986)
  5. Hypothesis on System Elements Algorithm Based Simulation Human Based Simulation

    Data Exploration and Hypothesis Generation Complex System Good Fitted model of the structure Weak Emergence Low-Level First Weak Emergence High Level First Hypothesis Validation Extract Significants Elements Exploration Modelization Optimization