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Title: Modality analysis of patterns in reaction-diffusion systems with random perturbations
Authors: Kolinichenko, A. P.
Ryashko, L. B.
Issue Date: 2019
Publisher: Udmurt State University
Citation: Kolinichenko, A. P. Modality analysis of patterns in reaction-diffusion systems with random perturbations / A. P. Kolinichenko, L. B. Ryashko. — DOI 10.20537/2226-3594-2019-53-07 // Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta. — 2019. — Iss. 53. — P. 73-82.
Abstract: In this paper, a distributed Brusselator model with diffusion is investigated. It is well known that this model undergoes both Andronov–Hopf and Turing bifurcations. It is shown that in the parametric zone of diffusion instability the model generates a variety of stable spatially nonhomogeneous structures (patterns). This system exhibits a phenomenon of the multistability with the diversity of stable spatial structures. At the same time, each pattern has its unique parametric range, on which it may be observed. The focus is on analysis of stochastic phenomena of pattern formation and transitions induced by small random perturbations. Stochastic effects are studied by the spatial modality analysis. It is shown that the structures possess different degrees of stochastic sensitivity. © 2019 Udmurt State University. All right reserved.
Access: info:eu-repo/semantics/openAccess
RSCI ID: 38503200
SCOPUS ID: 85079198246
WOS ID: 000487290700007
PURE ID: 10353410
ISSN: 2226-3594
DOI: 10.20537/2226-3594-2019-53-07
metadata.dc.description.sponsorship: Russian Science Foundation, RSF: 16–11–10098
Funding. This research was supported by the Russian Science Foundation (project no. 16–11–10098).
RSCF project card: 16-11-10098
Appears in Collections:Научные публикации, проиндексированные в SCOPUS и WoS CC

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