Influence of Spectral Characteristics of Correlated Noises on the Behavior of Stochastic System

Authors I.A. Knyaz’
Affiliations

Sumy State University, 2, Rimsky-Korsakov Str., 40007 Sumy, Ukraine

Е-mail [email protected]
Issue Volume 4, Year 2012, Number 2
Dates Received 01 February 2012; published online 04 June 2012
Citation I.A. Knyaz’, J. Nano- Electron. Phys. 4 No 2, 02026 (2012)
DOI
PACS Number(s) 5.70.Fh, 05.40. – a, 05.10.Gg
Keywords Noise-induced transition, Colored noises, Additive noise, Cross-correlation time.
Annotation In the paper the influence of cross-correlated spectral characteristics of correlated noise sources on the behavior of synergetic system is considered. It is shown that the increase in the cross-correlation time of additive and multiplicative noises below the bifurcation point leads to the noise-induced transition to the ordered state. In the case of odd multiplicative function the transition to the low-frequency noise is the reason of restoring the symmetry of the distribution function. All theoretical results are confirmed by the numerical experiment.

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