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THE DYNAMICS OF TWO NONLINEARLY COUPLED OSCILLATORS

In this paper the dynamics of two elastically coupled pendulums is studied. The pendulums oscillate under the influence of external rotational moments, their masses are considered to be equal. The current work is motivated by multiple applications in physics and biology that the model has.

ROTATIONAL DYNAMICS IN THE SYSTEM OF TWO COUPLED PENDULUMS

We consider dynamics in a pair of nonlinearly coupled pendulums. With existence of dissipation and constant torque such system can demonstrate in-phase periodical rotation in addition to the stable state. We have shown in numerical simulations that such in-

HYPERBOLIC STRANGE ATTRACTORS OF PHYSICALLY REALIZABLE SYSTEMS

A review of studies aimed on revealing or constructing physical systems with hyperbolic strange attractors, like Plykin attractor and Smale–Williams solenoid, is presented. Examples of iterated maps, differential equations, and simple electronic devices with chaotic dynamics associated with such attractors are presented and discussed. A general principle is considered and illustrated basing on manipulation of phases in alternately excited oscillators and time­delay systems. Alternative approaches are reviewed outlined in literature, as well as the prospects of further researches.