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Your search keyword '"Stochastic Phenomena"' showing total 2 results
Start Over Descriptor "Stochastic Phenomena" Publisher royal society publishing
2 results on '"Stochastic Phenomena"'

1. Stochastic phenomena in pattern formation for distributed nonlinear systems

Abstract

We study a stochastic spatially extended population model with diffusion, where we find the coexistence of multiple non-homogeneous spatial structures in the areas of Turing instability. Transient processes of pattern generation are studied in detail. We also investigate the influence of random perturbations on the pattern formation. Scenarios of noise-induced pattern generation and stochastic transformations are studied using numerical simulations and modality analysis. © 2020 The Author(s) Published by the Royal Society. All rights reserved.

Published
2020

2. Stochastic phenomena in pattern formation for distributed nonlinear systems

Author

Alexander Kolinichenko, Lev Ryashko, and Alexander N. Pisarchik

Subjects
PATTERN FORMATION, COMPUTER SIMULATION, General Mathematics, STOCHASTIC MODEL, General Physics and Astronomy, Pattern formation, STOCHASTIC PHENOMENA, 01 natural sciences, Noise (electronics), TURING INSTABILITY, 010305 fluids & plasmas, NOISE, Diffusion, Turing instability, 0103 physical sciences, NONLINEAR SYSTEM, Statistical physics, Diffusion (business), ARTICLE, 010306 general physics, Physics, Self-organization, Stochastic Processes, BODY PATTERNING, General Engineering, Articles, RANDOM PERTURBATIONS, SELF-ORGANIZATION, STOCHASTIC SYSTEMS, DIFFUSION, Nonlinear system, POPULATION DYNAMICS, Population model, Nonlinear Dynamics, STOCHASTIC MODELS, PATTERN GENERATION, TRANSIENT PROCESS, Transient (oscillation), MODALITY ANALYSIS, SPATIAL STRUCTURE
Abstract

We study a stochastic spatially extended population model with diffusion, where we find the coexistence of multiple non-homogeneous spatial structures in the areas of Turing instability. Transient processes of pattern generation are studied in detail. We also investigate the influence of random perturbations on the pattern formation. Scenarios of noise-induced pattern generation and stochastic transformations are studied using numerical simulations and modality analysis. © 2020 The Author(s) Published by the Royal Society. All rights reserved. Russian Science Foundation, RSF: 16-11-10098 Data accessibility. This article has no additional data. Authors’ contributions. All authors contributed equally. Competing interests. We declare we have no competing interests. Funding. The work was supported by the Russian Science Foundation (grant no. 16-11-10098).

Published
2020

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