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Aufsatz / Paper in SCI-Expanded-Zeitschrift

Asymptotic and transient mean-square properties of stochastic systems arising in ecology, fluid dynamics, and system control

Buckwar E., Kelly C.: Asymptotic and transient mean-square properties of stochastic systems arising in ecology, fluid dynamics, and system control, in: SIAM Journal on Applied Mathematics, Volume 74, Number 2, Page(s) 411–433, 2014.

BibTeX

@ARTICLE{
title = {Asymptotic and transient mean-square properties of stochastic systems arising in ecology, fluid dynamics, and system control},
type = {Aufsatz / Paper in SCI-Expanded-Zeitschrift},
author = {Buckwar, Evelyn and Kelly, Cónall},
language = {EN},
abstract = {We examine the role of persistent, state-dependent stochastic perturbations on the mean-square properties of nonnormal linear systems arising in three applications. In an example from population biology, we extend to the stochastic case measures of asymptotic and transient response of a predator-prey system to initial value perturbations and examine the relative effects on these measures of persistent stochastic perturbations of each species. In an example from fluid dynamics, we show how a linear stochastic mixing term may induce a transition-to-turbulence in certain low-dimensional models of plane Couette flow. Finally, we look at the role of drift-diffusion interaction effects in the noise-induced stabilization of a linear system with a single high-gain feedback control parameter.},
pages = {411–433},
publisher = {Society for Industrial and Applied Mathematics},
journal = {SIAM Journal on Applied Mathematics},
volume = {74},
number = {2},
issn = {0036-1399},
month = {3},
year = {2014},
}

Details

Zusammenfassung: We examine the role of persistent, state-dependent stochastic perturbations on the mean-square properties of nonnormal linear systems arising in three applications. In an example from population biology, we extend to the stochastic case measures of asymptotic and transient response of a predator-prey system to initial value perturbations and examine the relative effects on these measures of persistent stochastic perturbations of each species. In an example from fluid dynamics, we show how a linear stochastic mixing term may induce a transition-to-turbulence in certain low-dimensional models of plane Couette flow. Finally, we look at the role of drift-diffusion interaction effects in the noise-induced stabilization of a linear system with a single high-gain feedback control parameter.

Journal: SIAM Journal on Applied Mathematics
Volume: 74
Nummer: 2
Erscheinungsjahr: 2014
Seitenreferenz: 411–433
Anzahl Seiten: 23
DOI: http://dx.doi.org/10.1137/120893859
Verlag: Society for Industrial and Applied Mathematics
ISSN: 0036-1399
Reichweite: International

Beteiligte

AutorInnen / HerausgeberInnen: Univ.-Prof. Dr. Evelyn Buckwar, Cónall Kelly

Forschungseinheiten der JKU:

Wissenschaftszweige: 101 Mathematik | 101014 Numerische Mathematik | 101018 Statistik | 101019 Stochastik | 101024 Wahrscheinlichkeitstheorie

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