脉冲随机Hopfield型格系统的周期测度

IF 0.8 4区数学 Q3 MATHEMATICS, APPLIED Stochastic Analysis and Applications Pub Date : 2021-09-19 DOI:10.1080/07362994.2021.1970582

Yusen Lin, Dingshi Li

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引用次数: 4

摘要

本文研究了非线性噪声驱动的随机脉冲Hopfield型格系统的周期测度。利用周期马尔可夫过程的性质，建立了脉冲随机格系统的周期测度的存在性。为此，我们在解的尾部采用一致估计的思想来显示格系统解的一组分布的紧密性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Periodic measures of impulsive stochastic Hopfield-type lattice systems

Abstract 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.

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来源期刊

Stochastic Analysis and Applications 数学-统计学与概率论

CiteScore

2.70

自引率

7.70%

发文量

审稿时长

6-12 weeks

期刊介绍： Stochastic Analysis and Applications presents the latest innovations in the field of stochastic theory and its practical applications, as well as the full range of related approaches to analyzing systems under random excitation. In addition, it is the only publication that offers the broad, detailed coverage necessary for the interfield and intrafield fertilization of new concepts and ideas, providing the scientific community with a unique and highly useful service.