Instability Induced by Random Background Noise in a Delay Model of Landslide Dynamics
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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 e...ffect 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).
Кључне речи:
landslide / random noise / delayed interaction / mean-field approximation; bifurcationИзвор:
Applied Sciences, 2023, 13, 10Издавач:
- MDPI
DOI: 10.3390/app13106112
ISSN: 2076-3417
WoS: 000995658500001
Scopus: 2-s2.0-85160851076
Институција/група
PharmacyTY - JOUR AU - Kostić, Srđan AU - Vasović, Nebojša AU - Todorović, Kristina AU - Prekrat, Dragan PY - 2023 UR - https://farfar.pharmacy.bg.ac.rs/handle/123456789/4734 AB - 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). PB - MDPI T2 - Applied Sciences T1 - Instability Induced by Random Background Noise in a Delay Model of Landslide Dynamics VL - 13 IS - 10 DO - 10.3390/app13106112 ER -
@article{ author = "Kostić, Srđan and Vasović, Nebojša and Todorović, Kristina and Prekrat, Dragan", year = "2023", 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).", publisher = "MDPI", journal = "Applied Sciences", title = "Instability Induced by Random Background Noise in a Delay Model of Landslide Dynamics", volume = "13", number = "10", doi = "10.3390/app13106112" }
Kostić, S., Vasović, N., Todorović, K.,& Prekrat, D.. (2023). Instability Induced by Random Background Noise in a Delay Model of Landslide Dynamics. in Applied Sciences MDPI., 13(10). https://doi.org/10.3390/app13106112
Kostić S, Vasović N, Todorović K, Prekrat D. Instability Induced by Random Background Noise in a Delay Model of Landslide Dynamics. in Applied Sciences. 2023;13(10). doi:10.3390/app13106112 .
Kostić, Srđan, Vasović, Nebojša, Todorović, Kristina, Prekrat, Dragan, "Instability Induced by Random Background Noise in a Delay Model of Landslide Dynamics" in Applied Sciences, 13, no. 10 (2023), https://doi.org/10.3390/app13106112 . .