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Host: Moscow State University
Sponsor: NATO
Homepage: http://www.cas.mcmaster.ca/~sulisw/asi.html
Organizers: Yaneer Bar-Yam, Irina N. Trofimova, Galina Y. Riznichenko
Description:
The field of nonlinear dynamics involves a number of disparate schools of thought, and an attempt will be
made in this Institute to address each of the major proponents in the field to date. These include
dynamical systems theory, both discrete and continuous, synergetics, ergodic theory, nonequilibrium
thermodynamics, computational theory and complexity theory. Modelling approaches include the standard
approaches of ordinary and partial differential equations, but these have been enriched by the addition of
cellular automata, stochastic automata, self organized critical systems, random boolean networks, neural
networks, random graphs, spin glasses, as well as many others. Data analysis involves the use of
nonlinear regression, catastrophe based regression, nonlinear time series, entropy, Lyapunov exponents,
Kolmogorov and algorithmic and LZ complexity among others. Emphasis will be placed upon the teaching
of the main concepts, theories, principles, and models of nonlinear dynamics in a manner which will be
accessible to researchers without special mathematical background, but at sufficient depth so that the
current literature will be accessible to them as future needs dictate. Emphasis will also be placed upon the
use of examples drawn from the life and social sciences.
Date received: September 12, 1999
© 2008 Atlas Conferences Inc.