Mathematical methods of catastrophe theory

When solving the problems of disasters theory, different-shaped methods of the theory of the features of smooth display are widely used. The purpose of this book is to familiarize readers with the basic ideas, methods and results of the theory of features, as well as with its applications in the theory of disasters (bifurcation of the provisions of the equilibrium of dynamic systems, crises of markets, features of light Caustics and the equidistant of smooth surfaces, the spread of disturbances, optimization of controlled systems) The knowledge gained will make it possible to use in practice modern mathematical methods of studying the most complex processes that occur in nature and in various fields of human activity