Coloured-noise-induced transport in a model of the thermochemical reactor

Ryashko, Lev; Pisarchik, Alexander N.

doi:10.1098/rsta.2020.0313

Cited by 5 publications

(2 citation statements)

References 33 publications

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“…In addition, applications of nonlinear haemodynamics to myocardial revascularization are studied in [ 19 ] with special attention to the influence of bifurcation lesions in coronary arteries. The effects of stochastic forcing and, in particular, coloured-noises, on transport phenomena and formation of complex oscillatory regimes, are shown in studies [ 44 , 45 ].…”

Section: The General Content Of the Issuementioning

confidence: 99%

Transport phenomena in complex systems (part 2)

Alexandrov

Zubarev

2022

Phil. Trans. R. Soc. A.

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This theme issue, in two parts, continues research studies of transport phenomena in complex media published in the first part (Alexandrov & Zubarev 2021 Phil. Trans. R. Soc. A 379 , 20200301. ( doi:10.1098/rsta.2020.0301 )). The issue is concerned with theoretical, numerical and experimental investigations of nonlinear transport phenomena in heterogeneous and metastable materials of different nature, including biological systems. The papers are devoted to the new effects arising in such systems (e.g. pattern and microstructure formation in materials, impacts of external processes on their properties and evolution and so on). State-of-the-art methods of numerical simulations, stochastic analysis, nonlinear physics and experimental studies are presented in the collection of issue papers. This article is part of the theme issue ‘Transport phenomena in complex systems (part 2)’.

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Section: The General Content Of the Issuementioning

confidence: 99%

Transport phenomena in complex systems (part 2)

Alexandrov

Zubarev

2022

Phil. Trans. R. Soc. A.

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“…Specific colored-noise-induced effects were discovered in systems of different physical nature [12][13][14][15][16][17]. Colored noises play a constructive role in stochastic and coherence resonance [18][19][20], stochastic bifurcations [21], and order-chaos transitions [22,23].…”

Section: Introductionmentioning

confidence: 99%

How colored noise shifts the boundaries of oscillatory zones in suspension flows

Bashkirtseva

2023

Math Methods in App Sciences

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A mathematical model of the suspension flow forced by colored random disturbances is considered. We focus on the parameter zone adjacent to the Andronov–Hopf bifurcation separating stable equilibrium and self‐oscillatory modes. A phenomenon of stochastic excitement with colored‐noise‐induced generation of spiking oscillations in the equilibrium zone is investigated. We show how colored noise shifts boundaries of oscillation modes, and study dependence of this shift on the correlation time parameter. Zones of the stochastic resonance are revealed and parametrically described in terms of probability of excitement.

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