Docencia \ Máster Universitario en Computación Avanzada para Ciencias e Ingenierías (en extinción) \ Complex Systems Simulation

Dynamical Systems and Chaos

General references

Slides

Labs

Other resources

Java applets

  • Analysis of the logistic system f(x)=cx(1-x)
    • Graphical Analysis
    • Feigenbaum Diagram
    • Histogram
    • Time series
  • Graphical Analysis of any quadratic polynomial
  • Chaos in shift (doubling), tent and logistic maps
    • Cycles
    • Chaos
  • Julia and Mandelbrot sets
    • Behavior of f(z)=z2
    • Julia sets
    • Mandelbrot set
    • Julia sets in Mandelbrot set
    • Feigenbaum vs mandelbrot

Maple worksheets

Software