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The dynamical system concept is a mathematical formalization for any fixed "rule" which describes the time dependence of a point's position in its ambient space.
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Bibliography on Nonlinear Dynamics and Chaos - Maintained by Peter E. Beckmann, Johannes Gutenberg Universität. Pages on Dynamical Systems - A interactive laboratory on dynamical systems, in particular on particle systems. Java Exploration Tool for Dynamical Systems - This Java Applet can be used for the exploration on two-dimensional analytical defined dynamical systems. The system is defined by a set of two differential equations, which will be evaluated within adjustable regions forming a two-dimensional vector field. Turbulent Landscapes - Turbulent Landscapes is the result of 13 artists' explorations of complexity in nature. The exhibit will travel to museums and science centers in upcoming months. ArXiv - Recent papers in dynamical systems at the ArXiv preprint server. Evolution Equations and Semigroups - Bulletin board and preprint archive. Crowd Dynamics - Crowd and Egress Dynamics by G. Keith Still. Dynamics in One Complex Variable - These notes study the dynamics of iterated holomorphic mappings from a Riemann surface to itself. The reader is assumed to be familiar with the rudiments of complex variable theory and of two-dimensional differential geometry. Dynamical Systems Lab - This set of lectures is designed to explore one-dimensional dynamical systems using the software Chaos and Dynamics. Dynamical Systems Websites - A list of research sites maintained at the University of Warwick. Chaos, Limit Cycles and Twisted Rods - Integrability and chaotic attractors. Limit cycles of the Lienard systems. Elastic instabilities: twisted rods. Path and surface following: continuation algorithms. Scholarpedia: Encyclopedia of Dynamical Systems - A free peer reviewed encyclopedia of dynamical systems written by scholars from around the world. Society for Nonlinear Dynamics and Econometrics - The Society seeks to promote the use of nonlinear methods in economics and finance from both a theoretical and empirical perspective.
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