Periodic measures of impulsive stochastic differential equations
Dingshi Li and
Yusen Lin
Chaos, Solitons & Fractals, 2021, vol. 148, issue C
Abstract:
This paper is concerned with the periodic stochastic differential equations with nonlinear impulses. By using the properties of periodic Markov processes, the existence of periodic measures for the impulsive stochastic equations is established. As applications, we study the existence of periodic measures of impulsive periodic stochastic logistic equations and impulsive periodic stochastic neural networks, respectively.
Keywords: Periodic measure; Nonlinear impulse; Stochastic; Logistic equation; Neural network (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:148:y:2021:i:c:s0960077921003891
DOI: 10.1016/j.chaos.2021.111035
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