Dynamical Systems V

Bifurcation Theory and Catastrophe Theory

V.I. Arnold, V.S. Afrajmovich, Yu.S. Il'yashenko, L.P. Shil'nikov (Autoren)

Buch | Softcover

IX, 274 Seiten

1999 | 1. Softcover reprint of the original 1st ed. 1994
Springer Berlin (Verlag)
978-3-540-65379-0 (ISBN)

Artikel merken

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.

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.

Erscheint lt. Verlag	20.5.1999
Übersetzer	N. Kazarinoff
Zusatzinfo	IX, 274 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	432 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Analysis
	Naturwissenschaften ► Physik / Astronomie ► Mechanik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
Schlagworte	Bifurcation • Bifurcation Theory • Bifurkationstheorie • Catastrophe Theory • differential equation • Dynamical Systems • Dynamische Systeme • Katastrophentheorie • Singularity
ISBN-10	3-540-65379-1 / 3540653791
ISBN-13	978-3-540-65379-0 / 9783540653790
Zustand	Neuware