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Cover: 9783540181736 | Dynamical Systems V | Bifurcation Theory and Catastrophe Theory | Buch
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Dynamical Systems V
Bifurcation Theory and Catastrophe Theory
Buch von V. I. Arnold (u. a.)
Sprache: Englisch

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Lieferzeit 2-3 Wochen

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Beschreibung
Bifurcation theory and catastrophe theory are two well-known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly non-smooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Understanding the bifurcations of the differential equations that describe real physical systems provides important information about the behavior of the systems. Catastrophe theory became quite famous during the 1970's, mostly because of the sensation caused by the usually less than rigorous applications of its principal ideas to "hot topics", such as the characterization of personalities and the difference between a "genius" and a "maniac". Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors of this book, previously published as Volume 5 of the Encyclopaedia, have given a masterly exposition of these two theories, with penetrating insight.
Bifurcation theory and catastrophe theory are two well-known areas within the field of dynamical systems. Both are studies of smooth systems, focusing on properties that seem to be manifestly non-smooth. Bifurcation theory is concerned with the sudden changes that occur in a system when one or more parameters are varied. Examples of such are familiar to students of differential equations, from phase portraits. Understanding the bifurcations of the differential equations that describe real physical systems provides important information about the behavior of the systems. Catastrophe theory became quite famous during the 1970's, mostly because of the sensation caused by the usually less than rigorous applications of its principal ideas to "hot topics", such as the characterization of personalities and the difference between a "genius" and a "maniac". Catastrophe theory is accurately described as singularity theory and its (genuine) applications. The authors of this book, previously published as Volume 5 of the Encyclopaedia, have given a masterly exposition of these two theories, with penetrating insight.
Über den Autor
Prof. Dr. Wolfgang Fritz lehrt als Universitätsprofessor Betriebswirtschaftslehre, insbesondere Marketing, an der Technischen Universität Braunschweig und als Honorarprofessor Internationales Marketing und Electronic Commerce an der Universität Wien.
Zusammenfassung
Bifurcation theory and catastrophe theory are two highlights in the study of dynamical systems. Another highlight is celestial mechanics, as found in EMS-3. The current volume builds on the basic material given in EMS 1 and can be considered as a continuation of it. The volume is a survey, intended for readers with some background in dynamical systems, thus aiming at a higher level than Arnol'd's famous little book, "Catastrophe Theory".
Inhaltsverzeichnis
I. Bifurcation Theory by V.I. Arnol'd, V.S. Afrajmovich, Yu.S. Il'yashenko, L.P. Shil'nikov.- II. Catastrophe Theory by V.I. Arnol'd.
Details
Erscheinungsjahr: 1994
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 292
Reihe: Encyclopaedia of Mathematical Sciences
Inhalt: ix
274 S.
ISBN-13: 9783540181736
ISBN-10: 3540181733
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Arnold, V. I.
Shil'nikov, L. P.
Afrajmovich, V. S.
Il'yashenko, Yu. S.
Redaktion: Arnold, V. I.
Herausgeber: V I Arnold
Übersetzung: Kazarinoff, N.
Auflage: 1994
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Encyclopaedia of Mathematical Sciences
Maße: 241 x 160 x 21 mm
Von/Mit: V. I. Arnold (u. a.)
Erscheinungsdatum: 06.06.1994
Gewicht: 0,606 kg
preigu-id: 102147043
Über den Autor
Prof. Dr. Wolfgang Fritz lehrt als Universitätsprofessor Betriebswirtschaftslehre, insbesondere Marketing, an der Technischen Universität Braunschweig und als Honorarprofessor Internationales Marketing und Electronic Commerce an der Universität Wien.
Zusammenfassung
Bifurcation theory and catastrophe theory are two highlights in the study of dynamical systems. Another highlight is celestial mechanics, as found in EMS-3. The current volume builds on the basic material given in EMS 1 and can be considered as a continuation of it. The volume is a survey, intended for readers with some background in dynamical systems, thus aiming at a higher level than Arnol'd's famous little book, "Catastrophe Theory".
Inhaltsverzeichnis
I. Bifurcation Theory by V.I. Arnol'd, V.S. Afrajmovich, Yu.S. Il'yashenko, L.P. Shil'nikov.- II. Catastrophe Theory by V.I. Arnol'd.
Details
Erscheinungsjahr: 1994
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 292
Reihe: Encyclopaedia of Mathematical Sciences
Inhalt: ix
274 S.
ISBN-13: 9783540181736
ISBN-10: 3540181733
Sprache: Englisch
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Arnold, V. I.
Shil'nikov, L. P.
Afrajmovich, V. S.
Il'yashenko, Yu. S.
Redaktion: Arnold, V. I.
Herausgeber: V I Arnold
Übersetzung: Kazarinoff, N.
Auflage: 1994
Hersteller: Springer-Verlag GmbH
Springer Berlin Heidelberg
Encyclopaedia of Mathematical Sciences
Maße: 241 x 160 x 21 mm
Von/Mit: V. I. Arnold (u. a.)
Erscheinungsdatum: 06.06.1994
Gewicht: 0,606 kg
preigu-id: 102147043
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