Pattern Formation by Dynamic Systems and Pattern Recognition

Pattern Formation by Dynamic Systems and Pattern Recognition

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This book contains the manuscripts of the papers delivered at the International Sym posium on Synergetics held at SchloB Elmau, Bavaria, Germany, from April 30 until May 5, 1979. This conference followed several previous ones (Elmau 1972, Sicily 1974, Elmau 1977). This time the subject of the symposium was qpattern formation by dynam ic systems and pattern recognitionq. The meeting brought together scientists from such diverse fields as mathematics, physics, chemistry, biology, history as well as experts in the fields of pattern recognition and associative memory. When I started this type of conference in 1972 it appeared to be a daring enter prise. Indeed, we began to explore virgin land of science: the systematic study of cooperative effects in physical systems far from equi~ibrium and in other disciplines. Though these meetings were attended by scientists from quite different disciplines, a basic concept and even a common language were found from the very beginning. The idea that there exist profound analogies in the behaviour of large classes of complex systems, though the systems themselves may be quite different, proved to be most fruitful. I was delighted to see that over the past one or two years quite similar conferences were now held in various places allover the world. The inclusion of prob lems of pattern recognition at the present meeting is a novel feature, however.x j, where i, j a‚n V, , x a‚nVT. The grammar can be visualized by the wiring diagram of a finite automaton which can be assumed without loss of generality to be deterministic. For a given i a‚n V, we associate probabilities to each production rewriting ianbsp;...

Title:Pattern Formation by Dynamic Systems and Pattern Recognition
Author:Hermann Haken
Publisher:Springer Science & Business Media - 2012-12-06


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