o:2655 Instability Induced by Random Background Noise in a Delay Model of Landslide Dynamics en Abstract - In the present paper, we propose a new model for landslide dynamics, in the form of the spring-block mechanical model, with included delayed interaction and the effect of the background seismic noise. The introduction of the random noise in the model of landslide dynamics is confirmed by the surrogate data testing of the recorded ambient noise within the existing landslide in Serbia. The performed research classified the analyzed recordings as linear stationary stochastic processes with Gaussian inputs. The proposed mechanical model is described in the form of a nonlinear dynamical system: a set of stochastic delay-differential equations. The solution of such a system is enabled by the introduction of mean-field approximation, which resulted in a mean-field approximated model whose dynamics are qualitatively the same as the dynamics of the starting stochastic system. The dynamics of the approximated model are analyzed numerically, with rather unexpected results, implying the positive effect of background noise on landslide dynamics. Particularly, the increase of the noise intensity requires higher values of spring stiffness and displacement delay for the occurrence of bifurcation. This confirms the positive stabilizing effect of the increase in noise intensity on the dynamics of the analyzed landslide model. Present research confirms the significant role of noise in landslides near the bifurcation point (e.g., creeping landslides). landslide; random noise; delayed interaction; mean-field approximation; bifurcation 1552101 2076-3417 1552099 10.3390/app13106112 2023-08-14T09:47:15.629Z 44 no 46 Srđan Kostić Institut za vodoprivredu "Jaroslav Černi" ; Jaroslav Černi Water Institute 0000-0002-3705-3080 Nebojša Vasović Faculty of Mining and Geology, University of Belgrade person Kristina Todorović Faculty of Pharmacy, University of Belgrade person Dragan Prekrat Faculty of Pharmacy, University of Belgrade person application/pdf 3897161 https://unilib.phaidrabg.rs/o:2655 no yes 16 70 92000001 71A04 Applied Sciences 13 10 1 15 MDPI, Basel, Switzerland 2023 Received: 14 March 2023 Revised: 13 April 2023 Accepted: 9 May 2023 Published: 16 May 2023