By Eugene L. Allgower, Klaus Böhmer, Mei Zhen (auth.), R. Seydel, F. W. Schneider, T. Küpper, H. Troger (eds.)
This quantity comprises the court cases of a convention held in Wiirzburg, August 20-24, 1990. The subject matter of the convention was once Bifurcation and Chaos: research, Algorithms, Ap plications. greater than a hundred scientists from 21 nations awarded eighty contributions. the various result of the convention are defined within the forty nine refereed papers that keep on with. The convention used to be subsidized through the Deutsche Forschungsgemeinschaft, and via the Deutscher Akademischer Austauschdienst. We gratefully recognize the help from those agen cies. The technological know-how of nonlinear phenomena is evolving swiftly. during the last 10 years, the emphasis has been progressively moving. How developments differ will be visible by means of evaluating those court cases with past ones, specifically with the convention held in Dortmund 1986 (proceedings released in ISNM 79). about the diversity of phenomena, chaos has joined the bifurcation situations. As anticipated, the reputation of chaos is much less emotional between execs, than it's been in a few renowned guides. A nalytical tools seem to have reached a kingdom within which simple result of singularities, symmetry teams, or basic kinds are daily adventure instead of interesting information. equally, numerical algorithms for widespread events at the moment are good demonstrated. applied in numerous applications, such algorithms became normal ability for attacking nonlinear difficulties. The sophisti cation that analytical and numerical equipment have reached helps the lively development to a growing number of purposes. Pioneering equations as these named after Duffing, Van der Pol, or Lorenz, aren't any longer completely the kingdom of art.
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