SELF-ORGANIZATION OF TEMPORAL STRUCTURES IN A MULTIEQUILIBRIUM SELF-EXCITED OSCILLATOR SYSTEM WITH FREQUENCY CONTROL

An analysis is made of the nonlinear dynamics of a model of a self-exc ited oscillator system with automatic fine tuning of the frequency and possessing more than one equilibrium state. It is shown that, dependi ng on the delay parameters of the control loop and the initial frequen cy detuning, various periodic and stochastic temporal structures may b e formed, accompanied by the generation of various limit cycles and ch aotic attractors in phase space. Reasons for the onset of self-modulat ion are set forth, and the position of the different oscillation regio ns is established. The main bifurcations are studied together with sce narios for the transformation of the oscillator self-modulation modes as a function of the parameters. (C) 1997 American Institute of Physic s.