Achieving modulated oscillations by feedback control

Tian Ge, Xiaoying Tian, Jurgen Kurths, Jiangfeng Feng, Wei Lin

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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.
Original languageEnglish
Article number022909
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume90
Issue number2
DOIs
Publication statusPublished - Aug 2014

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Amplitude Modulation
Frequency Modulation
feedback control
dynamical systems
frequency modulation
Feedback Control
Dynamical system
Oscillation
bionics
oscillations
Biological Models
FitzHugh-Nagumo
Normal Form
oscillators
Range of data
Demonstrate
Model

Cite this

Achieving modulated oscillations by feedback control. / Ge, Tian; Tian, Xiaoying; Kurths, Jurgen; Feng, Jiangfeng ; Lin, Wei.

In: Physical Review. E, Statistical, Nonlinear and Soft Matter Physics, Vol. 90, No. 2, 022909, 08.2014.

Research output: Contribution to journalArticle

Ge, Tian ; Tian, Xiaoying ; Kurths, Jurgen ; Feng, Jiangfeng ; Lin, Wei. / Achieving modulated oscillations by feedback control. In: Physical Review. E, Statistical, Nonlinear and Soft Matter Physics. 2014 ; Vol. 90, No. 2.
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