Nichtlineare Dynamik, Bifurkation Und Chaotische Systeme

Name: Nichtlineare Dynamik, Bifurkation Und Chaotische Systeme
Brand: Vieweg+teubner Verlag
SKU: 9783528065607
Price: 2745.0 INR
Availability: InStock

by Peter Plaschko , Klaus Brod

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ISBN13: 9783528065607
Binding: Paperback
Subject: N/A
Publisher: Vieweg+teubner Verlag
Publisher Imprint: Vieweg+teubner Verlag
Publication Date: January 1, 1995
Pages: 232
Original Price: EUR 37.37
Language: German
Edition: 1995
Item Weight: 395 grams
BISAC Subject(s): Engineering (General)

About The Book

Ein Buch �ber nichtlineare Dynamik und �bergang ins Chaos zu schreiben, bedeutet, sich mit zwei Extremen auseinandersetzen zu m�ssen. Zum einen besteht die Gefahr, �ber der Sch�nheit der graphischen Darstellung die mathematische Beschreibung zu vergessen und damit zum Stil eines Bilderbuches abzurutschen. Eine derartige Vorgangsweise spricht zwar eine relativ gro en Leserkreis an und wirkt daher auflagenf�rdernd, bedeutet aber nicht unbedingt die Vermittlung fundamentaler Kenntnisse. Andererseits w�re es leicht m�glich, den mathematischen Abstrakti- onsgrad �berzubetonen und damit ein rein mathematisches Buch zu schreiben, was wiederum der Anwendung der Theorie nicht f�rderlich ist. Man kann jedoch mit Recht sagen, da die nichtlineare Dynamik von ihren Anwendungen in allen Teilgebieten der Naturwissenschaften (Physik, Chemie, Biologie, Ingenieurwissenschaften, etc. ) aber auch z. 8. in der �konomie "lebt". Tausende Ver�ffentlichungen der letzten Jahrzehnte in Fach- und popul�rwissenschaft- lichen Zeitschriften belegen dies nachhaltig. Ein anderer Aspekt der �blichen Darstellung nichtlinearer Dynamik besteht in dem Konzept qualitativerMathematik. Dies bedeutet, da man gewisse Klassen von Problemen im Hinblick auf das Auftreten bestimmter Eigenschaften (z. 8. von Attraktoren, Bifurkationen, etc. ) unter- sucht. Die Suche nach Kriterien f�r das Auftreten dieser Ph�nomene steht dabei im Mittelpunkt, nicht die explizite Berechnung von L�sungen wie in der traditionellen Dynamik. Wir, die Auto- ren dieses Buches, sind, wie wohl auch die �berwiegende Mehrheit unserer Leser, "linear aus- gebildet" worden.

About The Author

Prof. Dr.-Ing. Peter Plaschko lehrt an der Universidad Autónoma Metropolitana, Mexico. Prof. Dr. rer. nat. Klaus Brod an der Fachhochschule Wiesbaden

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