Directory of Chaos Resources

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Chaos theory, in mathematics and physics, deals with the behavior of certain nonlinear dynamical systems that (under certain conditions) exhibit the phenomenon known as chaos, most famously characterised by sensitivity to initial conditions. Systems that exhibit mathematical chaos are deterministic and thus orderly in some sense; this technical use of the word chaos is at odds with common parlance, which suggests complete disorder.

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Resources in This Category

• Chaos

  http://www.cmp.caltech.edu/~mcc/Chaos_Course/Outline.html
  Introduction To Chaos by Michael Cross. An online course at Caltech.

• Chaos and the Solar System

  http://ptrow.com/articles/ChaosandSolarSystem5.htm
  Article by Paul Trow about the development of the theory and its astronomic insights.

• Chaos at Maryland

  http://www.chaos.umd.edu/
  Research group at the University of Maryland. Includes papers, gallery, database, abstracts, software, bibliography and contact.

• Chaos Demonstrations

  http://www.cmp.caltech.edu/~mcc/chaos_new/Chaos_demos.html
  Introductory course on chaos from the California Institute of Technology, addressing basics, Lorenz attractor and Chua's Circuit. Includes program source code and bibliography.

• Chaos Research Group

  http://www-chaos.engr.utk.edu/
  Interdisciplinary research group at the University of Tennessee concerned with deterministic nonlinear dynamic aspects. Includes overview, publications, bibliography, monographs, glossary and project information.

• Chaos Theory for Beginners; an Introduction

  http://www.abarim-publications.com/ChaosTheoryIntroduction.html
  Brief introduction on attractors and disturbances, addressing the basics with examples.

• Chaos: Making a New Science

  http://www.around.com/chaos.html
  Excerpt from the bestseller that brought the forefront of research to public eye. Includes illustrations and links.

• CompLexicon

  http://www.exploratorium.edu/complexity/CompLexicon.html
  Terminology glossary about complex systems and chaotic dynamics.

• Continued Fractions and Chaos

  http://www.cecm.sfu.ca/organics/papers/corless/index.html
  Scientific paper exploring some results of the theory of chaotic dynamical systems. Includes abstract, proceeding and references.

• Emergence of Chaos

  http://www.cut-the-knot.org/blue/chaos.shtml
  Demonstrates how chaos emerges following a change in a parameter. Includes mathematical formulations and diagrams.

• In the Wake of Chaos

  http://dannyreviews.com/h/Wake_of_Chaos.html
  Short review of book exposing the actual philosophical implications of chaos theory.

• Nonlinear Science Group

  http://complex.gmu.edu/
  Research group on nonlinear dynamics and chaos at the George Mason University, U.S. Includes publications, activities and contact information.

• Online Chaos Course

  http://order.ph.utexas.edu/chaos/
  Interactive, nontechnical introduction to chaos physics and chaotic motion in classical and quantum mechanics.

• Quantum-like Chaos in Prime Number Distribution and in Turbulent Fluid Flows

  http://redshift.vif.com/JournalFiles/V08NO3PDF/V08N3SEL.PDF
  Paper concerned with the chaotic behavior of prime number distribution, by A. M. Selvam of the Indian Institute of Tropical Meteorology.

• Quatuor

  http://perso.numericable.fr/~cricordeau41/quatuor/home.htm
  Discusses the order of deterministic chaos. Includes pictures and background about fractal dimensions.

• Sci.nonlinear FAQ

  http://amath.colorado.edu/faculty/jdm/faq.html
  FAQs collection from the sci.nonlinear newsgroup. Addresses basics, tutorial, applications and computational resources.

• Society for Chaos Theory in Psychology and Life Sciences

  http://www.societyforchaostheory.org/
  Brings together researchers, theoreticians and practitioners interested in applying dynamical systems theory. Includes membership information, publications, meetings, tutorials and other resources.

• The Chaos Game

  http://www.jcu.edu/math/vignettes/ChaosGame.htm
  Outlines Barnsley's chaos game, in which a random number generator is used to produce various fractals.

• The Chaos Hypertextbook

  http://hypertextbook.com/chaos/
  Covering several aspects of the theory by topics, including nonlinear dynamics. Includes experiments for programmable calculators and definitions.

• Wikipedia: Chaos Theory

  http://en.wikipedia.org/wiki/Chaos_theory
  Free encyclopedia article describing the basics of the theory. Addresses mathematical, physical and historical aspects.

• Yahoo Groups: Caostheory

  http://groups.yahoo.com/group/caostheory/
  Discusses the theory and its applications in various fields, such as medicine, astronomy and art.

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