Estimation of periodicity in synchronised systems

Alexander P. Nikitin; Nigel G. Stocks

doi:10.1117/12.547024

25 May 2004 Estimation of periodicity in synchronised systems

Proceedings Volume 5471, Noise in Complex Systems and Stochastic Dynamics II; (2004) https://doi.org/10.1117/12.547024
Event: Second International Symposium on Fluctuations and Noise, 2004, Maspalomas, Gran Canaria Island, Spain

Abstract

The problem of estimating periodic properties of periodically non-stationary stochastic processes is studied. A recently introduced measure, the measure of periodicity (MP), of stochastic oscillations is discussed. The MP estimates the "periodicity level" of the oscillations, i.e. the ratio of the periodic to the non-periodic components of the stochastic processes. The introduced measure differs fundamentally from the traditional measure, SNR, because the MP lets us estimate the value of the oscillation period. The MP is particularly useful in systems that display stochastic synchronisation phenomenon where the ratio of the periods of the external force and the response of the studied system is m:n, where m and n are positive integer numbers. The MP is used to study synchronisation in two different systems, a bistable system and a neuronal model driven by noise and a sinusoidal signal. The dependence of MP on parameters is compared with the behaviour of the cross-correlation coefficient and the effective diffusion coefficient. The influence of asymmetry in the bistable system is also studied. In the autonomous neuronal model it is shown that the coherence resonance phenomenon is well described by the MP.

Citation Download Citation

Alexander P. Nikitin and Nigel G. Stocks "Estimation of periodicity in synchronised systems", Proc. SPIE 5471, Noise in Complex Systems and Stochastic Dynamics II, (25 May 2004); https://doi.org/10.1117/12.547024

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available