Achieving modulated oscillations by feedback control


Ge, T., Tian, X., Kurths, J., Feng, J. & Lin, W. Achieving modulated oscillations by feedback control. Physical Review E 90, 2, 022909 (2014).
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In this paper, we develop an approach to achieve either frequency or amplitude modulation of an oscillator merely through feedback control. We present and implement a unified theory of our approach for any finite-dimensional continuous dynamical system that exhibits oscillatory behavior. The approach is illustrated not only for the normal forms of dynamical systems but also for representative biological models, such as the isolated and coupled FitzHugh-Nagumo model. We demonstrate the potential usefulness of our approach to uncover the mechanisms of frequency and amplitude modulations experimentally observed in a wide range of real systems. 

Last updated on 12/27/2015