Key result
Non-isochronous auto-oscillators with delayed feedback show extreme signal sensitivity and a large phase-locking band.
Why the study?
The synchronization properties and sensitivity to external signals of non-isochronous auto-oscillators with delayed feedback are critically important but not fully understood.
Answers are grounded in this paper and cite their sources.
Theoretical demonstration of high sensitivity and synchronization in non-isochronous auto-oscillators, which may have implications for understanding heart arrhythmia control.
For auto-oscillators of different nature (e.g. active cells in a human heart under the action of a pacemaker, neurons in brain, spin-torque nano-oscillators, micro and nano-mechanical oscillators, or generating Josephson junctions) a critically important property is their ability to synchronize with each other. The synchronization properties of an auto oscillator are directly related to its sensitivity to external signals. Here we demonstrate that a non-isochronous (having generation frequency dependent on the amplitude) auto-oscillator with delayed feedback can have an extremely high sensitivity to external signals and unusually large width of the phase-locking band near the boundary of the stable auto-oscillation regime. This property could be used for the development of synchronized arrays of non-isochronous auto-oscillators in physics and engineering, and, for instance, might bring a better fundamental understanding of ways to control a heart arrythmia in medicine.
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Tiberkevich et al. (2014) studied this question. A non-isochronous auto-oscillator with delayed feedback demonstrates extremely high sensitivity to external signals and an unusually large phase-locking band near the stable regime boundary.
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