o:3868 Synchronization conditions for stochastic landslide chain model with delayed coupling, en We examine the conditions for synchronization of landslide stochastic chain model with delayed coupling. Firstly, a new chain model for landslide dynamics is proposed, with the included effect of delayed coupling and background noise. The model is of the microscopic type, where the state of each block in the chain is influenced by the previous state of the same block and its neighbors as well as by noise. Secondly, we examine the stochastic synchronization of such a system of stochastic delay-differential equations. A sufficient condition for the exponential mean square stability of the synchronization is obtained. The sufficient condition indicates that the uni-directional asymmetric coupling induces the synchronization much more efficiently than the bi-directionally symmetric one. From the practical viewpoint, the results obtained confirm that different parts of the large unstable slope could exhibit synchronized activity under certain conditions, which indicates their possible larger influence on the structures (and generation of corresponding deformation) compared to the individual effect of unsynchronized activities. synchronization, time delay, noise, landslides. 1. 1552099 https://doi.org/10.2298/TAM230927001V 2024-01-24T07:46:43.902Z 44 no 46 Nebojša Vasović Faculty of Mining and Geology, University of Belgrade Srđan Kostić Jaroslav Černi Water Institute Belgrade, Faculty of Technical Sciences University of Novi Sad person 0000-0002-3705-3080 Kristina Todorović Faculty of Pharmacy University of Belgrade person Dragoslav Kuzmanović Faculty of Transport and Traffic Engineering University of Belgrade person application/pdf 763749 https://unilib.phaidrabg.rs/o:3868 no yes 1 70 92000001 71A04 Theoretical and Applied Mechanics 1 13 Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade 2024 Received: 27.09.2023. Revised: 22.11.2023. Available online: 15.01.2024.