منابع مشابه
Containing Colored Multiplicative Noise
Necessary and sufficient conditiom are derived nnder which agiven set of hear hcb'onalsassume unique values over the solution sedof a hear equation; the latter property is referred to as partial uniqueness.The wefnlness of the conditions obtained for partial uniqueness is dem-onstrated by applying them to various problems of observab~tyand inputidentirLsbilit...
متن کاملInverse stochastic resonance in electroconvection by multiplicative colored noise.
A kind of inverse stochastic resonance (ISR) observed in ac-driven electroconvection (EC) in a nematic liquid crystal is presented. In successive pattern evolutions by increasing noise intensity V_{N}, a typical EC (with a normalized amplitude A_{0}=1 at V_{N}=0) disappears (A_{0}→0), and then the rest state (A_{0}=0) reenters into the EC (A_{0}=1); eventually, it develops into complicated EC(A...
متن کاملCoherence resonance induced by colored noise near Hopf bifurcation.
Effects of colored noise near supercritical Hopf bifurcation, especially noise induced oscillation (NIO) and coherence resonance (CR), have been studied analytically in the Brusselator model, using the stochastic normal form method. Two types of colored noise are considered: one is the standard Gaussian colored noise generated by the Ornstein-Uhlenbeck (OU) process and the other is the so-calle...
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We use the logistic growth model to describe the bacterium growth in the presence of a Gaussian colored noise. The effects of multiplicative colored noise on the steady state probability distribution of the bacterium growth were investigated. Our results show that increasing the strength of the multiplicative colored noise may lead to decreasing bacterium number and even bacterium extinction. O...
متن کاملStochastic Heat Equation with Multiplicative Fractional-Colored Noise
We consider the stochastic heat equation with multiplicative noise ut = 1 2 ∆u + uẆ in R+ × R , whose solution is interpreted in the mild sense. The noise Ẇ is fractional in time (with Hurst index H ≥ 1/2), and colored in space (with spatial covariance kernel f). When H > 1/2, the equation generalizes the Itô-sense equation for H = 1/2. We prove that if f is the Riesz kernel of order α, or the ...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 1987
ISSN: 0556-2791
DOI: 10.1103/physreva.36.834