English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

This work is devoted to stochastic reaction-diffusion lattice system driven by Lévy noises when the drift and diffusion terms are locally Lipschitz continuous. First, we investigate the existence and uniqueness of solutions of such system as well as weak pullback mean random attractors. Then the existence of periodic measures is obtained by the idea of uniform tail-estimates and Krylov-Bogolyubov’s method. Under further conditions, we establish the uniqueness and the exponentially mixing property of periodic measure. Finally, the limit behavior of periodic measures is investigated for stochastic lattice system driven by Lévy noises with respect to noise intensities.

Weak mean attractor and periodic measure for stochastic lattice systems driven by Lévy noises