'OSCILLATOR-WAVE' MODEL: MULTIPLE ATTRACTORS AND STRONG STABILITY

摘要

A generalized model of an oscillator, subjected to the influence of an external wave is considered. It is shown that the systems of diverse physical background, which this model encompasses by their nature, should belong to the broader, proposed in our previous works, class of "kick-excited self-adaptive dynamical systems" [1,2,3]. The theoretical treatment includes an analytic approach to the conditions for emergence of small and large amplitudes, i.e. weak and strong non-linearity of the system. Derived also are generalized conditions for the transition of systems of this "oscillator-wave" type to non-regular and chaotic behaviour.