Theory of Topological Roughness of Systems

In work questions of roughness and bifurcations of dynamic systems, in particular the synergetic systems and chaos of various physical nature are considered. The basic provisions of the theory and a method of topological roughness developed by the author of work are presented. Use of the results received by the author are shown on examples of the known synergetic systems, such as Lorenz, Rössler, Belousov-Zhabotinsky's systems, Chua’s circuit, Henon’s map, "predator - prey", models of economic systems of Kaldor and Schumpeter, Rikitake's dynamo and also Hopf's bifurcation. The book is destined on a wide range of the researchers and scientists who are interested in synergetics and chaos of systems of various physical nature and also to students of the physical and mathematical and other natural-science and technical specialties dealing with problems of synergetics and dynamic systems.