Chaos Chaos and Fractals Math

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.

• - Excerpt from the bestseller that brought the forefront of research to public eye. Includes illustrations and links.
  
• - 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.
  
• - Introduction to sequence related functions. Addresses basics, logistic equation and Lyapunov exponents. [English, German]
  
• - Lecture notes on periodic orbits.
  
• - Introductory course on chaos from the California Institute of Technology, adressing basics, Lorenz attractor and Chua's Circuit. Includes program source code and bibliography.
  
• - Discusses the order of deterministic chaos. Includes pictures and background about fractal dimensions.
  
• - Interactive, nontechnical introduction to chaos physics and chaotic motion in classical and quantum mechanics.
  
• - Short review of book exposing the actual philosophical implications of chaos theory.
  
• - Resource for the scientific and non-scientific communities. Includes bibliography, gallery, tutorials, and softwares.
  
• - Demonstrates how chaos emerges following a change in a parameter. Includes mathematical formulations and diagrams.
  
• - Program designed to create and experiment with classical billiard systems and analyze their chaotic properties. Includes animated tutorial and system requirements.
  
• - Illustrates some essential features of the theory which have received media attention in recent years. Includes animated pictures.
  
• - Terminology glossary about complex systems and chaotic dynamics.
  
• - Discusses the theory and it's applications in various fields, such as medicine, astronomy and art.
  
• - Brief introduction to the theory. Includes an essay describing fractional dimensions.
  
• - Covers the geometric and complex iterative framework by comparing chaos to randomness. Includes illustrations and programs.
  
• - Comprehensive analysis of the Feigenbaum set. Addresses mathematical and historical background.
  
• - Research group concerned with various aspects of modeling, analysis and control of nonlinear and chaotic dynamics systems. Includes project and contact information.
  
• - Biennial meeting focusing on experimental work in nonlinear dynamics and chaos. Includes proceedings and contact information.
  
• - Research group at the University of Maryland. Includes papers, gallery, database, abstracts, software, bibliography and contact.
  
• - Brings together researchers, theoreticians and practitioners interested in applying dynamical systems theory. Includes membership information, publications, meetings, tutorials and other resources.
  
• - Interdisciplinary research group at the University of Tennessee concerned with deterministic nonlinear dynamic aspects. Includes overview, publications, bibliography, monographs, glossary and project information.
  
• - Free encyclopedia article describing the basics of the theory. Addresses mathematical, physical and historical aspects.
  
• - Covering several aspects of the theory by topics, including nonlinear dynamics. Includes experiments for programmable calculators and definitions.
  
• - FAQs collection from the sci.nonlinear newsgroup. Addresses basics, tutorial, applications and computational resources.
  
• - Article that describes how the theory can be applied to education and teaching. Includes citations.
  
• - Paper concerned with the chaotic behavior of prime number distribution from the Indian Institute of Tropical Meteorology.
  
• - Outlines Barnsley's chaos game, in which a random number generator is used to produce various fractals. Includes fractal screensavers.
  
• - Scientific paper exploring some results of the theory of chaotic dynamical systems. Includes abstract, proceeding and references.
  
• - Discusses the modeling of fractal plants with L-systems. Includes theoretical background, references and code.
  
  

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