This is the first part of a review devoted to some present-day problems of nonlinear dynamics, namely, the chaoticity of dynamical systems and the controllability of such systems. Basic bifurcation theory propositions, along with some results concerning the development of chaos in such systems, are presented. Some important properties of chaotic dynamical systems are discussed, methods to describe them are considered, and some ergodic theory propositions are elucidated.
Department of Physics of Polymers and Crystals, Faculty of Physics, Moscow State University, Leninskie Gory, Moscow, 119992, Russia
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