Transition to Deterministic Chaos in Some Electroelastic Systems

Abstract

The electroelastic system “generator-piezoceramic transducer” is considered, which is nonideal in the sense of Sommerfeld-Kononenko. The presence in the system of various types of regular and chaotic attractors, namely, equilibrium positions, limit cycles, invariant tori, chaotic and hyperchaotic attractors, is revealed. An atypical alternation of cascades of bifurcations of period doubling and intermittency at transitions to chaos is revealed. The so-called rare attractors are found, which are located both inside invariant tori and inside chaotic attractors.