Home > Science > Math > Chaos and Fractals > Chaos
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.
http://www.cmp.caltech.edu/~mcc/Chaos_Course/Outline.html
Introduction To Chaos by Michael Cross. An online course at Caltech.
http://ptrow.com/articles/ChaosandSolarSystem5.htm
Article by Paul Trow about the development of the theory and its astronomic insights.
http://www.chaos.umd.edu/
Research group at the University of Maryland. Includes papers, gallery, database, abstracts, software, bibliography and contact.
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.
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.
http://www.abarim-publications.com/ChaosTheoryIntroduction.html
Brief introduction on attractors and disturbances, addressing the basics with examples.
http://www.around.com/chaos.html
Excerpt from the bestseller that brought the forefront of research to public eye. Includes illustrations and links.
http://www.exploratorium.edu/complexity/CompLexicon.html
Terminology glossary about complex systems and chaotic dynamics.
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.
http://www.cut-the-knot.org/blue/chaos.shtml
Demonstrates how chaos emerges following a change in a parameter. Includes mathematical formulations and diagrams.
http://dannyreviews.com/h/Wake_of_Chaos.html
Short review of book exposing the actual philosophical implications of chaos theory.
http://complex.gmu.edu/
Research group on nonlinear dynamics and chaos at the George Mason University, U.S. Includes publications, activities and contact information.
http://order.ph.utexas.edu/chaos/
Interactive, nontechnical introduction to chaos physics and chaotic motion in classical and quantum mechanics.
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.
http://perso.numericable.fr/~cricordeau41/quatuor/home.htm
Discusses the order of deterministic chaos. Includes pictures and background about fractal dimensions.
http://amath.colorado.edu/faculty/jdm/faq.html
FAQs collection from the sci.nonlinear newsgroup. Addresses basics, tutorial, applications and computational resources.
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.
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.
http://hypertextbook.com/chaos/
Covering several aspects of the theory by topics, including nonlinear dynamics. Includes experiments for programmable calculators and definitions.
http://en.wikipedia.org/wiki/Chaos_theory
Free encyclopedia article describing the basics of the theory. Addresses mathematical, physical and historical aspects.
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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