Buch, Englisch, Band 5, 274 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1290 g
Bifurcation Theory and Catastrophe Theory
Buch, Englisch, Band 5, 274 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1290 g
Reihe: Encyclopaedia of Mathematical Sciences
ISBN: 978-3-540-18173-6
Verlag: Springer Berlin Heidelberg
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.
Zielgruppe
Research
Fachgebiete
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
- Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
- Mathematik | Informatik Mathematik Stochastik Elementare Stochastik
Weitere Infos & Material
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.
