Quadratic Map

 

• Introduction
• Iteration and Differentiation
• Graphical Method
• Fixed Points
• Periodic Orbits
  • Graphical Method
  • Period One Orbits
  • Period Two Orbit
  • Stability Diagram
• Bifurcation Diagram
• Local Bifurcation Theory
  • Saddle-node
  • Period Doubling
  • Transcritical
• Period Doubling Ad Infinitum
• Sarkovskii's Theorem
• Sensitive Dependence
• Fully Developed Chaos
  • Hyperbolic Invariant Sets
  • Symbolic Dynamics
  • Topological Conjugacy
• Symbolic Coordinates
  • What's in a name? Location.
  • Alternating Binary Tree
  • Topological Entropy