Phase equations for quasi-periodic oscillators

Authors:
Alper Demir;Chenjie Gu;Jaijeet Roychowdhury
Affiliations:
Koç University, Istanbul, Turkey;University of California, Berkeley, CA;University of California, Berkeley, CA
Venue:
Proceedings of the International Conference on Computer-Aided Design
Year:
2010

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Abstract

Oscillations and rhythmic activity are seen in natural and man-made systems. Dynamics of oscillators can be compactly described by phase domain models. Phase equations for periodic, single-frequency oscillators have been developed and utilized in analyzing oscillation phenomena that arise in electronic systems, circadian clocks, and the nervous system. We consider quasi-periodic oscillators and present a general phase model theory and numerical techniques for the construction of phase equations for multi-frequency oscillators. We demonstrate the utility of these phase equations in analyzing oscillators experiencing perturbations.