Stochastic Generation of Spatial Patterns in Brusselator / Ekaterinchuk E.,Ryashko L. // . - 2016. - V. 1773, l. .

ISSN/EISSN:

0094-243X / нет данных

Type:

Proceedings Paper

Abstract:

Spatio-temporal model of Brussclator under stochastic disturbances is studied. In the deterministic case, spatial patterns arc investigated in the zone of Turing instability. Zones of multistability in which spatio-temporal patterns depend on initial conditions arc found. In the stochastic case, a phenomenon of patterns generation in the zone of spatially stable homogeneous steady state is demonstrated, and noise-induced transitions between coexisting structures in the zone of Turing instability are studied.

Author keywords:

SYSTEMS; NOISE; TRANSITIONS

DOI:

10.1063/1.4964980

Web of Science ID:

ISI:000392692400026

Соавторы в МНС:

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Другие поля

Поле	Значение
Editor	Todorov, MD
Booktitle	APPLICATION OF MATHEMATICS IN TECHNICAL AND NATURAL SCIENCES (AMITANS'16)
Series	AIP Conference Proceedings
Note	8th International Conference on Promoting the Application of Mathematics in Technical and Natural Sciences (AMiTaNS), Albena, BULGARIA, JUN 22-27, 2016
Organization	Euro Amer Consortium Promoting Applicat Math Tech \& Nat Sci
Publisher	AMER INST PHYSICS
Address	2 HUNTINGTON QUADRANGLE, STE 1NO1, MELVILLE, NY 11747-4501 USA
Language	English
Article-Number	060005
ISBN	978-0-7354-1431-0
Keywords-Plus	SYSTEMS; NOISE; TRANSITIONS
Research-Areas	Mathematics; Physics
Web-of-Science-Categories	Mathematics, Applied; Physics, Applied
Author-Email	Ek.Ekaterinchuk@gmail.com Lev.Ryashko@urfu.ru
Funding-Acknowledgement	Russian Science Foundation {[}16-11-10098]
Funding-Text	This work was supported by Russian Science Foundation under grant No. 16-11-10098.
Number-of-Cited-References	24
Usage-Count-Last-180-days	1
Usage-Count-Since-2013	1
Doc-Delivery-Number	BG8SA