Alexander Shvets

We propose a new model and study the properties of a piezoceramic transducer interacting with an excitation device of limited power-supply. A special attention is given to the examination of the origin and stages of development of deterministic chaos in this system. It is shown that a great variety of effects typical for problems of chaotic dynamics is inherent in the system. The presence of several types of chaotic attractors is established, and moreover the existence of hyper-chaos is revealed. Various scenarios of transition from regular regimes to chaotic ones are explored. The phase portraits, Poincare surfaces of section and maps of some chaotic attractors are investigated. For some of the chaotic attractors, the spectral densities and distributions of invariant measures are obtained and explored.