Suppression of self-modulation in the self-oscillator with delayed feedback using the method for chaos control

Controlling oscillator coherence by multiple delay feedback

“…Additionally to the benefits of plasticity and efficiency, there is a physical motivation for the interest to the case of two delay feedbacks. Many physical systems possess an inherent feedback with delay (e.g., [12][13][14][15]); for such systems, introducing a second feedback loop is a natural and simple strategy for controlling the dynamics. The efficiency of the employment of a second feedback loop in such systems is invigorated by the similarity of the mechanisms of the impact on the system for both feedbacks and, therefore, the possibility of their mutual compensation in a broad range of parameters.…”

“…The efficiency of the employment of a second feedback loop in such systems is invigorated by the similarity of the mechanisms of the impact on the system for both feedbacks and, therefore, the possibility of their mutual compensation in a broad range of parameters. For instance, in [12,13], an additional feedback is used for suppression of an unwanted instability to self-modulation in the backward-wave tube. This approach turns out to be useful with other devices as well (e.g., see [14]).…”