Nichtlineare Dynamik, Bifurkation Und Chaotische Systeme:

ISBN-10: 3528065605
ISBN-13: 9783528065607
Edition: 1995
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Description: Das Buch wendet sich an Leser, die - uber die rein computergraphische Darstellung hinaus - an einer analytischen Untersuchung von chaotischen und nichtchaotischen Differenzen- und Differentialgleichungssystemen interessiert sind. Breiter Raum wird  More...

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Book details

Copyright year: 1995
Publisher: Springer Verlag
Binding: Paperback
Language: German

Das Buch wendet sich an Leser, die - uber die rein computergraphische Darstellung hinaus - an einer analytischen Untersuchung von chaotischen und nichtchaotischen Differenzen- und Differentialgleichungssystemen interessiert sind. Breiter Raum wird der Durchrechnung von Beispielen gegeben. Dargestellt werden zunachst qualitative Methoden als auch solche, die das Auffinden von Attraktoren, Bifurkationen etc. und deren Klassifikation in Abhangigkeit von den Systemparametern gestatten. Der letzte Teil schliesslich widmet sich der quantitativen Beschreibung chaotischer Systeme. Dazu werden zuerst die Begriffe Chaos und Fraktal exakt definiert und dann die verschiedenen fraktalen Dimensionen, Lyapunov-Exponenten, Entropien etc. eingefuhrt und durch Beispiele begrundet

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