Synchronization of stochastic lattice equations

Autor:	María J. Garrido-Atienza, Verena Köpp, Hakima Bessaih, Björn Schmalfuß, Meihua Yang
Rok vydání:	2020
Předmět:	Master slave synchronization Applied Mathematics 010102 general mathematics Invariant manifold Nonlinear lattice White noise Lipschitz continuity 01 natural sciences 010101 applied mathematics Exponential growth Lattice (order) Applied mathematics 0101 mathematics Analysis Mathematics
Zdroj:	Nonlinear Differential Equations and Applications NoDEA. 27
ISSN:	1420-9004 1021-9722
DOI:	10.1007/s00030-020-00640-0
Popis:	In this paper we consider a system of two coupled nonlinear lattice stochastic equations driven by additive white noise processes. We prove the master slave synchronization of the components of the coupled system, namely, for $$t\rightarrow \infty $$ the solution of one of the subsystems (the slave component) converges to the values of a Lipschitz continuous function of the other component, the master component. To establish this kind of synchronization we will prove the existence of an exponentially attracting random invariant manifold for the coupled system.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::7af9ece7512dee50fc1f34ddaf6396da https://doi.org/10.1007/s00030-020-00640-0 Zobrazit plný text záznamu Full text from SpringerLink