Disaster theory. No. 14. Arnold V.I.

The mathematical description of disasters - spasmodic changes arising in the form of a sudden response of the system to a smooth change in external conditions, is given by theories of features and bifurcations. Their application to specific tasks in different areas of science caused a lot of controversy. The book tells what the theory of disasters is and why it causes fierce disputes. The results of mathematical theories of features and bifurcations are set out. The publication is supplemented by a review of the recent achievements of the theory of perestroika, bibliography and the task book.

The book is designed for scientists, teachers, students and everyone who is interested in modern mathematics.