Periodic measures of impulsive stochastic Hopfield-type lattice systems

This paper is concerned with the periodic measures of the stochastic impulsive Hopfield-type lattice systems driven by nonlinear noise. By the properties of periodic Markov processes, the existence of periodic measures for the impulsive stochastic lattice systems is established. To this end, we empl...

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Bibliographic Details
Published in:Stochastic analysis and applications 2022-09, Vol.40 (5), p.914-930
Main Authors: Lin, Yusen, Li, Dingshi
Format: Article
Language:English
Subjects:
Hopfield-type lattice system
impulsive
Markov processes
Periodic measure
Tightness
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Summary:This paper is concerned with the periodic measures of the stochastic impulsive Hopfield-type lattice systems driven by nonlinear noise. By the properties of periodic Markov processes, the existence of periodic measures for the impulsive stochastic lattice systems is established. To this end, we employ the idea of uniform estimates on the tails of the solutions to show the tightness of a family of distributions of the solutions of the lattice systems.
ISSN:0736-2994
1532-9356
DOI:10.1080/07362994.2021.1970582