Verwandte Artikel zu Dynamical Systems V: Bifurcation Theory and Catastrophe...

Dynamical Systems V: Bifurcation Theory and Catastrophe Theory (Encyclopaedia of Mathematical Sciences, 5, Band 5) - Hardcover

Arnold, V.I.; Afrajmovich, V.S.; Il'yashenko, Yu.S.; Shil'nikov, L.P.

 
9783540181736: Dynamical Systems V: Bifurcation Theory and Catastrophe Theory (Encyclopaedia of Mathematical Sciences, 5, Band 5)
Hardcover
ISBN 10: 3540181733 ISBN 13: 9783540181736
Verlag: Springer, 1994

Inhaltsangabe

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. 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.

Von der hinteren Coverseite

Bifurcation theory and catastrophe theory are two of the best 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. Moreover, 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, the first printing of which was published as Volume 5 of the Encyclopaedia of Mathematical Sciences, have given a masterly exposition of these two theories, with penetrating insight.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
1994
Sprache
Englisch
ISBN 10 
3540181733
ISBN 13 
9783540181736
Einband
Gebundene Ausgabe
Anzahl der Seiten
283
Herausgeber
Arnold V.I.
Kontakt zum Hersteller
Springer Nature Customer Service Center GmbH
ProductSafety@springernature.com

Europaplatz 3
Heidelberg
69115
Deutschland