This textbook gives a contemporary account of singularity theory and its principal application, bifurcation theory.
Moscow, September 1983 v. I. Arnold Preface to the Russian Edition "Experts discuss forecasting disasters" said a New York Times report on catastrophe theory in November 1977.
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.
The new edition of this non-mathematical review of catastrophe theory contains updated results and many new or expanded topics including delayed loss of stability, shock waves, and interior scattering.
Gleave, D. and Cordey-Hayes, M. (l977) nhgration dynanics and labour market turnover, Pergamon, Oxford. ... Goodwin, P.B. (l977) Habit and hysteresis in modal choice, Urban Studies, 14, 95-8. Goodwin, R.M. (l95l) The non-linear ...
Zoology, for example, has discovered thirty-five thousand forms of life ... A. P. Chekhov. "On the road" In this book a start is made to the "zoology" of the singularities of differentiable maps.
This is a book on nonlinear dynamical systems and their bifurcations under parameter variation.
Based on a lecture course, this text gives a rigorous introduction to nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory.
This volume is the record and product of two International Symposia on the Appli cation of Catastrophe Theory and Topological Concepts in Physics, held in May and December 1978 at the Institute for Information Sciences, University of ...
Dynamical systems arise in all fields of applied mathematics.
4.1 IDEAS UNDERLYING CATASTROPI-IE THEORY Singularities, bifurcations, and catastrophes are the terms describing the formation of discrete structures from the smooth, continuous structures. The theory of singularities has more than a ...