Periodic measures of stochastic delay lattice systems

By Dingshi Li, Bixiang Wang, Xiaohu Wang. 2021

82 citations recorded by the source corpus.

Abstract The periodic measures of the stochastic delay reaction-diffusion lattice systems are investigated. Under a general condition, we prove the existence of periodic measures when the time-dependent terms of the system are periodic in time. Under further assumptions on the nonlinear terms, we show the set of all periodic measures of the perturbed system is weakly compact. Finally, we prove every limit point of a sequence of periodic measures of the stochastic delay system must be a periodic measure of the limiting system as the noise intensity or the time delay goes to zero.

Subfields: Computational Theory and Mathematics, Computer Networks and Communications, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/fbb3b920a623dae110c6a089d260d0aa333ab605

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In Computational Theory and Mathematics

In Computer Networks and Communications

In Control and Systems Engineering

Citations in the corpus

Limiting Behavior of Invariant Measures of Stochastic Delay Lattice Systems (2021, background): “11) in [28] cannot be proved straightforward.”