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Correction: Structural and stochastic transformations in a system of coupled populations
No full textIn the original version of this article, the given and family names of the authors were incorrectly structured. The correct names are Irina Bashkirtseva and Lev Ryashko. The original article has been corrected. © The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2023
Noise-induced complex oscillatory dynamics in the Zeldovich–Semenov model of a continuous stirred tank reactor
Get PDFNoise-induced variability of thermochemical processes in a continuous stirred tank reactor is studied on the basis of the Zeldovich-Semenov dynamical model. For the deterministic variant of this model, mono- and bistability parametric zones as well as local and global bifurcations are determined. Noise-induced transitions between coexisting attractors (equilibria and cycles) and stochastic excitement with spike oscillations are investigated by direct numerical simulation and the analytical approach based on the stochastic sensitivity technique. For the stochastic model, the phenomenon of coherence resonance is discovered and studied. © 2021 Author(s).The work was supported by the Russian Foundation for Basic Research (No. 20-01-00165)
Stochastic sensitivity analysis of noise-induced oscillations in Adler model
Get PDFWe consider Adler model with the saddle-node bifurcation on the invariant circle. Near this bifurcation, even weak random disturbances can generate noise-induced spike oscillations. Corresponding random phase trajectories form stochastic bundle. A dispersion of random trajectories in this bundle is non-uniform. To approximate this dispersion, we propose a new constructive approach based on the stochastic sensitivity analysis and method of "freezing" of the phase variable. A mathematical description of this approach is given. An extension of this theory for complex systems with so-called sequential dynamics is discussed. © 2019 Author(s).Russian Science Foundation, RSF: N 16-11-10098The work was supported by Russian Science Foundation (N 16-11-10098)
Numerical analysis of noise-induced oscillating bistability in a prey-predator plankton system
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