Elements of the Mathematical Theory of Multi-Frequency Oscillations (Mathematics and its Applications, 71)

Translated from the original Russian edition of 1987 (Nauka, Moscow), this volume deals with the theory of multi-frequency oscillations as a motion of a dynamical system which describes a recurrent trajectory on an invariant toroidal manifold of the system. In this way, the invariant toroidal manifold becomes the main subject of the theory and the existence of such a manifold is a sufficient condition for the existence of multi-frequency oscillations of the system. Annotation copyright Book News, Inc. Portland, Or.