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Information × Registration Number 2106U000424, Article popup.category Стаття Title popup.author popup.publication 01-01-2006 popup.source_user Сумський державний університет popup.source http://essuir.sumdu.edu.ua/handle/123456789/38167 popup.publisher Elsevier Description This is a revised personal version of the final text of the article. To view a publisher's version, visit: http://www.sciencedirect.com/science/article/pii/S0378437105004437 An overdamped system with a linear restoring force and two multiplicative colored noises is considered. Noise amplitudes depend on the system state x as x and |x|^α. An exactly soluble model of a system is constructed due to consideration of a specific relation between noises. Exact expressions for the time-dependent univariate probability distribution function and the fractional moments are derived. Their long-time asymptotic behavior is investigated analytically. It is shown that anomalous diffusion and stochastic localization of particles, not subjected to a restoring force, can occur. popup.nrat_date 2025-05-12 Close