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Katolog > 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.
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      Links:

      The Feigenbaum Fractal
http://www.stud.ntnu.no/~berland/math/feigenbaum/

      The Feigenbaum Fractal

      Comprehensive analysis of the Feigenbaum set. Addresses mathematical and historical background.
      www.stud.ntnu.no/~berland/math/feigenbaum
      Emergence of Chaos
http://www.cut-the-knot.com/blue/chaos.html

      Emergence of Chaos

      Demonstrates how chaos emerges following a change in a parameter. Includes mathematical formulations and diagrams.
      www.cut-the-knot.com/blue/chaos.html
      Chaos at Maryland
http://www-chaos.umd.edu/

      Chaos at Maryland

      Research group at the University of Maryland. Includes papers, gallery, database, abstracts, software, bibliography and contact.
      www-chaos.umd.edu
      Chaos: Making a New Science
http://www.around.com/chaos.html

      Chaos: Making a New Science

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

      ChaosBook

      Lecture notes on periodic orbits.
      www.nbi.dk/ChaosBook
      Online Chaos Course
http://order.ph.utexas.edu/chaos/

      Online Chaos Course

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

      CompLexicon

      Terminology glossary about complex systems and chaotic dynamics.
      www.exploratorium.edu/complexity/CompLexicon.html
      Sci.nonlinear FAQ
http://amath.colorado.edu/faculty/jdm/faq.html

      Sci.nonlinear FAQ

      FAQs collection from the sci.nonlinear newsgroup. Addresses basics, tutorial, applications and computational resources.
      amath.colorado.edu/faculty/jdm/faq.html
      Chaos Research Group
http://www-chaos.engr.utk.edu/

      Chaos Research Group

      Interdisciplinary research group at the University of Tennessee concerned with deterministic nonlinear dynamic aspects. Includes overview, publications, bibliography, monographs, glossary and project information.
      www-chaos.engr.utk.edu
      Continued Fractions and Chaos
http://www.cecm.sfu.ca/organics/papers/corless/index.html

      Continued Fractions and Chaos

      Scientific paper exploring some results of the theory of chaotic dynamical systems. Includes abstract, proceeding and references.
      www.cecm.sfu.ca/organics/papers/corless/index.html
      Society for Chaos Theory in Psychology and Life Sciences
http://www.societyforchaostheory.org/

      Society for Chaos Theory in Psychology and Life Sciences

      Brings together researchers, theoreticians and practitioners interested in applying dynamical systems theory. Includes membership information, publications, meetings, tutorials and other resources.
      www.societyforchaostheory.org
      Quantum-like Chaos in Prime Number Distribution and in Turbulent Fluid Flows
http://www.geocities.com/CapeCanaveral/Lab/5833/prime3/Prime3.html

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

      Paper concerned with the chaotic behavior of prime number distribution from the Indian Institute of Tropical Meteorology.
      www.geocities.com/CapeCanaveral/Lab/5833/prime3/Prime3.html
      Chaos Metalink
http://www.industrialstreet.net/chaosmetalink/

      Chaos Metalink

      Resource for the scientific and non-scientific communities. Includes bibliography, gallery, tutorials, and softwares.
      www.industrialstreet.net/chaosmetalink
      Chaos Theory and Education
http://www.libraryreference.org/chaos.html

      Chaos Theory and Education

      Article that describes how the theory can be applied to education and teaching. Includes citations.
      www.libraryreference.org/chaos.html
      Chaos Theory: A Brief Intro
http://www.imho.com/grae/chaos/

      Chaos Theory: A Brief Intro

      Brief introduction to the theory. Includes an essay describing fractional dimensions.
      www.imho.com/grae/chaos
      A Route into Chaos: The Logistic Equation
http://library.thinkquest.org/C005375/start.html

      A Route into Chaos: The Logistic Equation

      Introduction to sequence related functions. Addresses basics, logistic equation and Lyapunov exponents. [English, German]
      library.thinkquest.org/C005375/start.html
      A Beginner's Guide to Chaos
http://www.yiin.ca/chaos/

      A Beginner's Guide to Chaos

      Covers the geometric and complex iterative framework by comparing chaos to randomness. Includes illustrations and programs.
      www.yiin.ca/chaos
      Centre for Chaos Control and Synchronization
http://www.ee.cityu.edu.hk/~cccs/

      Centre for Chaos Control and Synchronization

      Research center of the City University of Hong Kong concerned with fundamental research and industrial applications. Includes mission statement, member list, publications, project and contact information.
      www.ee.cityu.edu.hk/~cccs
      The Chaos Game
http://www.geocities.com/ResearchTriangle/System/8956/Fractal/intro.htm

      The Chaos Game

      Outlines Barnsley's chaos game, in which a random number generator is used to produce various fractals. Includes fractal screensavers.
      www.geocities.com/../System/8956/Fractal/intro.htm
      The Macsin Research Group
http://www.cpdee.ufmg.br/~MACSIN/

      The Macsin Research Group

      Research group concerned with various aspects of modeling, analysis and control of nonlinear and chaotic dynamics systems. Includes project and contact information.
      www.cpdee.ufmg.br/~MACSIN
      Quatuor
http://www.quatuor.org/home.htm

      Quatuor

      Discusses the order of deterministic chaos. Includes pictures and background about fractal dimensions.
      www.quatuor.org/home.htm
      The Chaos Hypertextbook
http://hypertextbook.com/chaos/

      The Chaos Hypertextbook

      Covering several aspects of the theory by topics, including nonlinear dynamics. Includes experiments for programmable calculators and definitions.
      hypertextbook.com/chaos
      Yahoo Groups: Caostheory
http://groups.yahoo.com/group/caostheory/

      Yahoo Groups: Caostheory

      Discusses the theory and its applications in various fields, such as medicine, astronomy and art.
      groups.yahoo.com/group/caostheory
      Java Chaos Simulator
http://www.students.bucknell.edu/tgoodman/Chaos/

      Java Chaos Simulator

      Program designed to create and experiment with classical billiard systems and analyze their chaotic properties. Includes animated tutorial and system requirements.
      www.students.bucknell.edu/tgoodman/Chaos
      Experimental Chaos Conference
http://complex.gmu.edu/ecc/

      Experimental Chaos Conference

      Biennial meeting focusing on experimental work in nonlinear dynamics and chaos. Includes proceedings and contact information.
      complex.gmu.edu/ecc

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