Dynamical Systems V: Bifurcation Theory and Catastrophe Theory
New York, Jun 6, 1994 - Mathematics - 274 pages
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.
What people are saying - Write a review
Other editions - View all
Ordinary Differential Equations with Applications
Limited preview - 1999
Hamiltonian Systems with Three or More Degrees of Freedom
Carles Simó i Torres,Carles Simó
Limited preview - 1999
Book List of IWAI Lab. -1986 (Author from A )
Dynamical Systems and Applications World Scientific Advanced Series in Dynamical Systems, v.5 World Scientific, 1987 404.0 88010098 ...
yang.amp.i.kyoto-u.ac.jp/ research/ booklist/ A.html
Phys. Rev. Lett. 93, 168103 (2004): Biktashev and Suckley - Non ...
 Dynamical Systems V edited by vi Arnol'd (Springer, Verlag, Berlin, 1994), pp. 154 192.  an Tikhonov, Math. USSR Sbornik 31, 575 (1952). ...
link.aps.org/ doi/ 10.1103/ PhysRevLett.93.168103
<a href="http://adsabs.harvard.edu/cgi-bin/bib_query?1984ntpp.proc ...
 vi Arnol’d, “Catastrophe theory”, Dynamical systems V, Itogi Nauki i ... English transl. in Encyclopaedia Math. Sci. [Dynamical systems V], 1994, ...
www.turpion.org/ php/ reference.phtml/ ref_sm3831.pdf?journal_id=sm&
vs afrajmovich libri - I Libri dell'autore: vs Afrajmovich ...
Dynamical Systems V: Bifurcation Theory and Catastrophe Theory · Dynamical Systems V: Bifurcation Theory and Catastrophe Theory · Springer - May 1994 ...