Instructors

• Nieves Castro

• Antonio Giraldo

• Miguel Reyes

• María Asunción Sastre

Resources for the course

• Dynamical Systems and Chaos:
  • General references:
    • OCW Introducción a los Sistemas Dinámicos
    • Encyclopedia of dynamical systems
  • Slides:
    • Unit 1.1: Dynamical systems
    • Unit 1.2: Chaos
    • Unit 1.3: Strange attractors
    • Unit 1.4: Julia sets
    • Unit 1.5: Mandelbrot set
  • 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:
    • The logistic map
    • Chaos in shift (doubling), tent and logistic maps
    • 2-d dynamical systems
    • Graphical data analysis
    • Lorenz attractor
  • Software:
    • Ultrafractal