Trichotomous noise: applications to stochastic transport

2004 ◽  
Vol 53 (1) ◽  
pp. 64
Author(s):  
A Ainsaar ◽  
R Mankin ◽  
E Soika ◽  
R Tammelo
Keyword(s):  
Stochastic Transport ◽  
Trichotomous Noise

On the stochastic transport in disordered systems

1988 ◽  
Vol 49 (10) ◽  
pp. 1731-1736 ◽  
Author(s):  
M.V. Feigel'man ◽  
V.M. Vinokur
Keyword(s):  
Disordered Systems ◽  
Stochastic Transport

Application of a Mass Balance-Based Stochastic Transport Model

2010 ◽  
Vol 14 (3) ◽  
pp. 170-177
Author(s):  
Benjamin W. Johnson ◽  
Andrew Curtis Elmore ◽  
Jeffrey D. Cawlfield
Keyword(s):  
Mass Balance ◽  
Transport Model ◽  
Stochastic Transport

Stochastic resonance for a fractional oscillator with random trichotomous mass and random trichotomous frequency

2017 ◽  
Vol 31 (30) ◽  
pp. 1750231 ◽  
Author(s):  
Lifeng Lin ◽  
Huiqi Wang ◽  
Suchuan Zhong
Keyword(s):  
Stochastic Resonance ◽  
Exact Expression ◽  
Order Moment ◽  
Periodic Signal ◽  
Transformation Technique ◽  
First Order ◽  
Fractional Oscillator ◽  
Trichotomous Noise ◽  
Output Amplitude ◽  
Fractional System

The stochastic resonance (SR) phenomena of a linear fractional oscillator with random trichotomous mass and random trichotomous frequency are investigate in this paper. By using the Shapiro–Loginov formula and the Laplace transformation technique, the exact expression of the first-order moment of the system’s steady response is derived. The numerical results demonstrate that the evolution of the output amplitude is nonmonotonic with frequency of the periodic signal, noise parameters and fractional order. The generalized SR (GSR) phenomena, including single GSR (SGSR) and doubly GSR (DGSR), and trebly GSR (TGSR), are detected in this fractional system. Then, the GSR regions in the [Formula: see text] plane are determined through numerical calculations. In addition, the interaction effect of the multiplicative trichotomous noise and memory can diversify the stochastic multiresonance (SMR) phenomena, and induce reverse-resonance phenomena.

Strategies in Stochastic Transport

2007 ◽  
Vol 156 (1) ◽  
pp. 55-67 ◽  
Author(s):  
A. Ziya Akcasu ◽  
Noel Corngold
Keyword(s):  
Stochastic Transport

Lipschitz stability for a semi-linear inverse stochastic transport problem

2020 ◽  
Vol 28 (2) ◽  
pp. 185-193
Author(s):  
Zhongqi Yin
Keyword(s):  
Inverse Problem ◽  
Main Tool ◽  
Terminal State ◽  
Lipschitz Stability ◽  
Unknown Parameters ◽  
Initial Displacement ◽  
Stochastic Transport ◽  
Random Term ◽  
Global Carleman Estimate ◽  
Stochastic Transport Equation

AbstractThis paper is addressed to a semi-linear stochastic transport equation with three unknown parameters. It is proved that the initial displacement, the terminal state and the random term in diffusion are uniquely determined by the state on partial boundary and a Lipschitz stability of the inverse problem is established. The main tool we employ is a global Carleman estimate for stochastic transport equations.

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