Iterated Maps in 1D


We discussed the basic concepts of chaos theory in the 1D map context:
  • functions, endomorphisms
  • state space, initial point, trajectory, orbit
  • KL process
  • limit sets
  • fixed point (FP), 2-periodic point (P2),...
  • attractors, basins, and boundaries
For explanations, please consult the text, JPX where the frontmatter, introduction (chapter 1), and 1D maps (chapter 2) are posted as PDF.
Revised by Ralph Abraham, 04 Sept 2002