Epistemological Implications

18. Introduction to Chaos Theory

  • Sensitive dependence on initial conditions (a small change in the initial conditions can drastically change the long-term behavior of a system).
    • In a complex system, there is never the same context twice.
  • That which appears to be small scale disorder is often actually large scale patterning.
  • Systems that appear chaotic, but aren't, produce self-similarities, exact copies of parts of themselves, hidden deep inside their chaotic appearances.
    • Chaotic systems feature moments/aspects of order that surround areas of attraction
  • Small variation events often cascade into large scale patterns of change.
    • Chaotic systems often bifurcate when a variable changes.
  • Scale is relative to point of view: a wider view will often show patterns which look random up close.
  • Chaos, then, folds back on Oscillation/Resolution/Point of View/Information

Notes on Chaos Theory
University of Alabama Institute for Interactive Technology

Greg Rae on Chaos Theory