Stationary distributions of a noisy logistic process

Details Stationary distributions of a noisy logistic process Stationary distributions of a noisy logistic process

2005-02-16

arxiv.org/abs/cond-mat/0502389v1

Physics

Condensed Matter

Statistical Mechanics

15 pages in LaTeX incl. 4 PostScript figures. Submitted to Acta Physica Polonica B

Scientific paper

Stationary solutions to a Fokker-Planck equation corresponding to a noisy logistic equation with correlated Gaussian white noises are constructed. Stationary distributions exist even if the corresponding deterministic system displays an unlimited growth. Positive correlations between the noises can lead to a minimum of the variance of the process and to the stochastic resonance if the system is additionally driven by a periodic signal.

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