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Preprints of the Keldysh Institute of Applied Mathematics, 2021, 093, 15 pp.
DOI: https://doi.org/10.20948/prepr-2021-93 (Mi ipmp3010) 		 
Amplitude equation formalism for reaction—subdiffusion systems

D. A. Zenyuk, G. G. Malinetskiy
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DOI: https://doi.org/10.20948/prepr-2021-93
Abstract: The paper presents derivation of the amplitude equation for the Hopf bifurcation in the two-component system with nonlinear chemical kinetics and subdiffusion. Anomalous diffusion transport is described via Caputo fractional derivatives. The obtained amplitude equation is much more complex compared to the case of normal diffusion because solutions of fractional order linear differential equations have inconvenient behavior.
Keywords: fractional calculus, asymptotic methods, subdiffusion.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00602A
Document Type: Preprint
UDC: 517.968.7
Language: Russian
Citation: D. A. Zenyuk, G. G. Malinetskiy, “Amplitude equation formalism for reaction—subdiffusion systems”, Keldysh Institute preprints, 2021, 093, 15 pp.
Citation in format AMSBIB
\Bibitem{ZenMal21}
\by D.~A.~Zenyuk, G.~G.~Malinetskiy
\paper Amplitude equation formalism for reaction—subdiffusion systems
\jour Keldysh Institute preprints
\yr 2021
\papernumber 093
\totalpages 15
\mathnet{http://mi.mathnet.ru/ipmp3010}
\crossref{https://doi.org/10.20948/prepr-2021-93}
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