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Spatial modeling of forest-savanna bistability: impacts of fire dynamics and timescale separation. [PDF]

J Math Biol
Shen K, Levin S, Patterson D.
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Mean square stabilization and mean square exponential stabilization of stochastic BAM neural networks with Markovian jumping parameters

Chaos, Solitons & Fractals, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ye, Zhiyong, Zhang, He, Zhang, Hongyu, Zhang, Hua, Lu, Guichen   +4 more
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Mean square stabilization of linear systems by mean zero noise

Stochastics and Stochastic Reports, 1999
A necessary and sufficient condition for the mean square stabilization of time-varying linear systems of ordinary differential equations by zero mean real noise is obtained.
Roman V. Bobryk, Lukasz Stettner
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Mean-Square Stability

2013
One of the features that distinguish MJLS from linear systems is the fact that stability (instability) for each mode of operation does not guarantee the stability (instability) of the system as a whole. This chapter provides a broad account on mean-square stability (MSS) for continuous-time MJLS.
Oswaldo L.V. Costa, Marcelo D. Fragoso, Marcos G. Todorov   +2 more
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Mean-square Stabilization of Invariant Manifolds for SDEs

IFAC Proceedings Volumes, 2014
Abstract We consider systems of Ito's stochastic differential equations with smooth compact invariant manifolds. The problem addressed is an exponential mean square (EMS) stabilization of these manifolds. The necessary and sufficient conditions of the stabilizability are derived on the base of the spectral criterion of the EMS-stability of invariant ...
Lev Ryashko, Irina Bashkirtseva
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A-Stability and Stochastic Mean-Square Stability

BIT Numerical Mathematics, 2000
The author considers the mean-square stability of the stochastic differential equation for the test problem with multiplicative noise proposed by \textit{Y. Saito} and \textit{T. Mitsui} [SIAM J. Appl. Math. 56, No. 5, 1400-1423 (1996; Zbl 0869.60053)]. It quantifies precisely the point where unconditional stability is lost.
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