Chaos Chaos and Fractals Math

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.

• Quatuor - Discusses the order of deterministic chaos. Includes pictures and background about fractal dimensions.
  
• A Beginner's Guide to Chaos - Covers the geometric and complex iterative framework by comparing chaos to randomness. Includes illustrations and programs.
  
• Nonlinear Science Group - Research group on nonlinear dynamics and chaos at the George Mason University, U.S. Includes publications, activities and contact information.
  
• 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.
  
• A Route into Chaos: The Logistic Equation - Introduction to sequence related functions. Addresses basics, logistic equation and Lyapunov exponents. [English, German]
  
• Chaos at Maryland - Research group at the University of Maryland. Includes papers, gallery, database, abstracts, software, bibliography and contact.
  
• Chaos: A Pictorial Introduction - Illustrates some essential features of the theory which have received media attention in recent years. Includes animated pictures.
  
• In the Wake of Chaos - Short review of book exposing the actual philosophical implications of chaos theory.
  
• Wikipedia: Chaos Theory - Free encyclopedia article describing the basics of the theory. Addresses mathematical, physical and historical aspects.
  
• Online Chaos Course - 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 - Paper concerned with the chaotic behavior of prime number distribution from the Indian Institute of Tropical Meteorology.
  
• Chaos Demonstrations - 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 Theory: A Brief Intro - Brief introduction to the theory. Includes an essay describing fractional dimensions.
  
• The Chaos Game - Outlines Barnsley's chaos game, in which a random number generator is used to produce various fractals. Includes fractal screensavers.
  
• Emergence of Chaos - Demonstrates how chaos emerges following a change in a parameter. Includes mathematical formulations and diagrams.
  
• 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.
  
• CompLexicon - Terminology glossary about complex systems and chaotic dynamics.
  
• Chaos Theory for Beginners; an Introduction - Brief introduction on attractors and disturbances, addressing the basics with examples.
  
• 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.
  
• Sci.nonlinear FAQ - FAQs collection from the sci.nonlinear newsgroup. Addresses basics, tutorial, applications and computational resources.
  
• Chaos - Introduction To Chaos by Michael Cross. An online course at Caltech.
  
• Chaos: Making a New Science - Excerpt from the bestseller that brought the forefront of research to public eye. Includes illustrations and links.
  
• Chaos and the Solar System - Article about the development of the theory and its astronomic insights.
  
• The Chaos Hypertextbook - Covering several aspects of the theory by topics, including nonlinear dynamics. Includes experiments for programmable calculators and definitions.
  
• Continued Fractions and Chaos - Scientific paper exploring some results of the theory of chaotic dynamical systems. Includes abstract, proceeding and references.
  
• An Introduction to Lindenmayer Systems - Discusses the modeling of fractal plants with L-systems. Includes theoretical background, references and code.
  
• Yahoo Groups: Caostheory - Discusses the theory and its applications in various fields, such as medicine, astronomy and art.
  
  

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