Nonlinear stability analysis of the full Brusselator reaction-diffusion model

Autor:	I. V. Elyukhina
Rok vydání:	2014
Předmět:	Autocatalysis Nonlinear system Brusselator Amplitude General Chemical Engineering Harmonics Mathematical analysis Reaction–diffusion system General Chemistry Diffusion (business) Mathematics Envelope (waves)
Zdroj:	Theoretical Foundations of Chemical Engineering. 48:806-812
ISSN:	1608-3431 0040-5795
DOI:	10.1134/s0040579514060025
Popis:	We have constructed a general nonlinear parabolic equation for an autocatalytic reaction-diffusion model. This equation for the complex amplitude of the envelope wave allows one to analyze the long-term behavior of the system after a loss of stability. The coefficients of the equation of this system are explicitly expressed through parameters of the original full Brusselator model with diffusion. The amplitude equation takes into account the possibility of locating the center of the wave packet out the harmonics with maximum increment.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::972af82ebd996a096a0eb9d200262b13 https://doi.org/10.1134/s0040579514060025 Zobrazit plný text záznamu Plný text ve formátu PDF