libcats.org
Главная

Dynamical systems 05

Обложка книги Dynamical systems 05

Dynamical systems 05

, , , , ,
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.
Популярные книги за неделю:

О физической природе шаровой молнии

Автор:
Категория: science, science, exact
Размер книги: 5.03 Mb

Ключ к сверхсознанию

Автор:
Категория: Путь к себе
Размер книги: 309 Kb

Древо жизни

Автор:
Категория: Путь к себе
Размер книги: 1.70 Mb

Здоровье надо созидать

Автор:
Категория: Здоровье
Размер книги: 363 Kb
Только что пользователи скачали эти книги:

Special Edition Using Microsoft Office Access 2003

Автор:
Размер книги: 39.78 Mb

Topics in metric fixed point theory

Автор: , Автор:
Размер книги: 1.24 Mb

Формула невозможного

Автор: , Автор:
Категория: Фантастика
Размер книги: 55 Kb

Educational Research: Proofs, Arguments, and Other Reasonings

Автор: , Автор:
Размер книги: 1.54 Mb

Songs of the Prairie

Автор:
Категория: fiction
Размер книги: 131 Kb

The Buried Pyramid

Автор:
Категория: fiction
Размер книги: 499 Kb