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Title: Phase diagram analysis of noise-induced transition in an autocatalytic reaction
Authors: Pham, T. M.
Virchenko, Y. P.
Keywords: physics
mathematical physics
noise-induced transition
autocatalytic reaction
critical surface
phase diagram analysis
Issue Date: 2016
Citation: Pham, T.M. Phase diagram analysis of noise-induced transition in an autocatalytic reaction / T. M. Pham, Y. P. Virchenko // Journal of Physics: Conference Series. - 2016. - Vol.769.- Art. 012026. - (18th International Conference PhysicA.SPb, Saint Petersburg, 26-29 October 2015). - DOI: 10.1088/1742-6596/769/1/012026.
Abstract: We present the analysis of the genetic model of autocatalytic chemical reactions proposed by Arnold et al. This model, when subjected to multiplicative white noise modelling environmental fluctuations, can undergo a sudden change from a unimodal state to a bimodal one, while no such transition occurs if the noise is absent. Here, this noise-induced transition is studied analytically by investigating the so-called critical surface in the three-dimensional parameter space
Appears in Collections:Статьи из периодических изданий и сборников (на иностранных языках) = Articles from periodicals and collections (in foreign languages)

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