TY  - JOUR
AU  - Prekrat, Dragan
AU  - Todorović-Vasović, Kristina Neli
AU  - Vasović, Nebojša
AU  - Kostić, Srđan
PY  - 2024
UR  - https://farfar.pharmacy.bg.ac.rs/handle/123456789/5561
AB  - In the present paper, we investigate the effect of the initial conditions on the dynamics of the spring-block landslide model. The time evolution of the studied model, which is governed by a system of stochastic delay differential equations, is analyzed in the mean-field approximation, which qualitatively exhibits the same dynamics as the initial model. The results of the numerical analysis show that changing the initial conditions has different effects in different parts of the parameter space of the model. Namely, moving away from the fixed-point initial conditions has a stabilizing effect on the dynamics when the noise, the friction parameters a (higher values) and c as well as the spring stiffness k are taken into account. The stabilization manifests itself in a complete suppression of the unstable dynamics or a partial limitation of the effect of some friction parameters. On the other hand, the destabilizing effect of changing the initial conditions occurs for the lower values of the friction parameters a and for b. The main feature of destabilization is the complete suppression of the sliding regime or a larger parameter range with a transient oscillatory regime. Our approach underlines the importance of analyzing the influence of initial conditions on landslide dynamics.
PB  - Frontiers Media
T2  - Frontiers in Earth Science
T1  - Complex global dynamics of conditionally stable slopes: effect of initial conditions
VL  - 12
DO  - 10.3389/feart.2024.1374942
ER  - 

@article{
author = "Prekrat, Dragan and Todorović-Vasović, Kristina Neli and Vasović, Nebojša and Kostić, Srđan",
year = "2024",
abstract = "In the present paper, we investigate the effect of the initial conditions on the dynamics of the spring-block landslide model. The time evolution of the studied model, which is governed by a system of stochastic delay differential equations, is analyzed in the mean-field approximation, which qualitatively exhibits the same dynamics as the initial model. The results of the numerical analysis show that changing the initial conditions has different effects in different parts of the parameter space of the model. Namely, moving away from the fixed-point initial conditions has a stabilizing effect on the dynamics when the noise, the friction parameters a (higher values) and c as well as the spring stiffness k are taken into account. The stabilization manifests itself in a complete suppression of the unstable dynamics or a partial limitation of the effect of some friction parameters. On the other hand, the destabilizing effect of changing the initial conditions occurs for the lower values of the friction parameters a and for b. The main feature of destabilization is the complete suppression of the sliding regime or a larger parameter range with a transient oscillatory regime. Our approach underlines the importance of analyzing the influence of initial conditions on landslide dynamics.",
publisher = "Frontiers Media",
journal = "Frontiers in Earth Science",
title = "Complex global dynamics of conditionally stable slopes: effect of initial conditions",
volume = "12",
doi = "10.3389/feart.2024.1374942"
}

Prekrat, D., Todorović-Vasović, K. N., Vasović, N.,& Kostić, S.. (2024). Complex global dynamics of conditionally stable slopes: effect of initial conditions. in Frontiers in Earth Science
Frontiers Media., 12.
https://doi.org/10.3389/feart.2024.1374942

Prekrat D, Todorović-Vasović KN, Vasović N, Kostić S. Complex global dynamics of conditionally stable slopes: effect of initial conditions. in Frontiers in Earth Science. 2024;12.
doi:10.3389/feart.2024.1374942 .

Prekrat, Dragan, Todorović-Vasović, Kristina Neli, Vasović, Nebojša, Kostić, Srđan, "Complex global dynamics of conditionally stable slopes: effect of initial conditions" in Frontiers in Earth Science, 12 (2024),
https://doi.org/10.3389/feart.2024.1374942 . .