Self-oscillatory systems with one and a half degrees of freedom

Abstract

In systems with one degree of freedom no mechanism for the excitation of self-oscillations other than negative friction (or negative resistance) can exist. However, in systems with one and a half degrees of freedom, along with negative friction, another, less known mechanism is widespread. The excitation of oscillations in such systems is conditioned by the so-called inertial interaction between dynamical variables occurring as a result of inertiality in the negative feedback loop. Self-oscillatory systems with such mechanism of excitation were called by Babitsky and Landa systems with inertial excitation [20, 21]. They are widely met in studies of many physical and engineering problems.KeywordsSingular PointChaotic AttractorLorenz SystemHelmholtz ResonatorLorenz EquationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.