Результаты поиска по 'stochastic systems':
Найдено статей: 25
  1. Zenyuk D.A., Malinetsky G.G., Faller D.S.
    Simulation of corruption in hierarchical systems
    Computer Research and Modeling, 2014, v. 6, no. 2, pp. 321-329

    Simulation model of corruption in hierarchical systems which takes into account individual strategies of elements and collective behavior of large groups is proposed. Evolution of various characteristics like level of corruption or ratio of corrupted elements and their dependence on external parameters are discussed. The effectiveness of various anticorruptional strategies is examined by means of numeric analysis.

    Views (last year): 8. Citations: 11 (RSCI).
  2. Ryashko L.B., Slepukhina E.S.
    Analysis of noise-induced bursting in two-dimensional Hindmarsh–Rose model
    Computer Research and Modeling, 2014, v. 6, no. 4, pp. 605-619

    We study the stochastic dynamics of the two-dimensional Hindmarsh–Rose model in the parametrical zone of coexisting stable equilibria and limit cycles. The phenomenon of noise-induced transitions between the attractors is investigated. Under the random disturbances, equilibrium and periodic regimes combine in bursting regime: the system demonstrates an alternation of small fluctuations near the equilibrium with high amplitude oscillations. This effect is analysed using the stochastic sensitivity function technique and a method of estimation of critical values for noise intensity is proposed.

    Views (last year): 1.
  3. Abramova E.P., Ryazanova T.V.
    Dynamic regimes of the stochastic “prey – predatory” model with competition and saturation
    Computer Research and Modeling, 2019, v. 11, no. 3, pp. 515-531

    We consider “predator – prey” model taking into account the competition of prey, predator for different from the prey resources, and their interaction described by the second type Holling trophic function. An analysis of the attractors is carried out depending on the coefficient of competition of predators. In the deterministic case, this model demonstrates the complex behavior associated with the local (Andronov –Hopf and saddlenode) and global (birth of a cycle from a separatrix loop) bifurcations. An important feature of this model is the disappearance of a stable cycle due to a saddle-node bifurcation. As a result of the presence of competition in both populations, parametric zones of mono- and bistability are observed. In parametric zones of bistability the system has either coexisting two equilibria or a cycle and equilibrium. Here, we investigate the geometrical arrangement of attractors and separatrices, which is the boundary of basins of attraction. Such a study is an important component in understanding of stochastic phenomena. In this model, the combination of the nonlinearity and random perturbations leads to the appearance of new phenomena with no analogues in the deterministic case, such as noise-induced transitions through the separatrix, stochastic excitability, and generation of mixed-mode oscillations. For the parametric study of these phenomena, we use the stochastic sensitivity function technique and the confidence domain method. In the bistability zones, we study the deformations of the equilibrium or oscillation regimes under stochastic perturbation. The geometric criterion for the occurrence of such qualitative changes is the intersection of confidence domains and the separatrix of the deterministic model. In the zone of monostability, we evolve the phenomena of explosive change in the size of population as well as extinction of one or both populations with minor changes in external conditions. With the help of the confidence domains method, we solve the problem of estimating the proximity of a stochastic population to dangerous boundaries, upon reaching which the coexistence of populations is destroyed and their extinction is observed.

    Views (last year): 28.
  4. Zakharov A.P., Bratsun D.A.
    Synchronization of circadian rhythms in the scale of a gene, a cell and a whole organism
    Computer Research and Modeling, 2013, v. 5, no. 2, pp. 255-270

    In the paper three characteristic scales of a biological system are proposed: microscopic (gene's size), mesoscopic (cell’s size) and macroscopic level (organism’s size). For each case the approach to modeling of circadian rhythms is discussed on the base of a time-delay model. At gene’s scale the stochastic description has been used. The robustness of rhythms mechanism to the fluctuations has been demonstrated. At the mesoscopic scale we propose the deterministic description within the spatially extended model. It was found the effect of collective synchronization of rhythms in cells. Macroscopic effects have been studied within the discrete model describing the collective behaviour of large amount of cells. The problem of cross-linking of results obtained at different scales is discussed. The comparison with experimental data is given.

    Views (last year): 1. Citations: 8 (RSCI).
  5. Aptukov A.M., Bratsun D.A., Lyushnin A.V.
    Modeling of behavior of panicked crowd in multi-floor branched space
    Computer Research and Modeling, 2013, v. 5, no. 3, pp. 491-508

    The collective behavior of crowd leaving a room is modeled. The model is based on molecular dynamics approach with a mixture of socio-psychological and physical forces. The new algorithm for complicatedly branched space is proposed. It suggests that each individual develops its own plan of escape, which is stochastically transformed during the evolution. The algorithm includes also the separation of original space into rooms with possible exits selected by individuals according to their probability distribution. The model is calibrated on the base of empirical data provided by fire case in the nightclub “Lame Horse” (Perm, 2009). The algorithm is realized as an end-user Java software. It is assumed that this tool could help to test the buildings for their safety for humans.

    Views (last year): 7. Citations: 10 (RSCI).
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