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arXiv · 1302.1344

Period Variability of Coupled Noisy Oscillators

Fumito Mori·Hiroshi Kori
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Abstract

Period variability, quantified by the standard deviation (SD) of the cycle-to-cycle period, is investigated for noisy phase oscillators. We define the checkpoint phase as the beginning/end point of one oscillation cycle and derive an expression for the SD as a function of this phase. We find that the SD is dependent on the checkpoint phase only when oscillators are coupled. The applicability of our theory is verified using a realistic model. Our work clarifies the relationship between period variability and synchronization from which valuable information regarding coupling can be inferred.

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Fumito Mori, Hiroshi Kori. 2013-02-06. Period Variability of Coupled Noisy Oscillators. https://doi.org/10.1103/physreve.87.030901

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