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Fractional amplitude and phase dynamics in super‐diffusive reaction–diffusion systems
Author(s) -
Nec Y.,
Nepomnyashchy A.A.,
Golovin A.A.
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700425
Subject(s) - reaction–diffusion system , hopf bifurcation , amplitude , diffusion , bifurcation , dynamics (music) , phase (matter) , statistical physics , physics , mathematics , mathematical physics , mathematical analysis , thermodynamics , nonlinear system , quantum mechanics , acoustics
Study of weakly non‐linear dynamics of a reaction–super‐diffusion system near a Hopf bifurcation by means of fractional analogues of complex Ginzburg‐Landau and Kuramoto‐Sivashinsky equations is presented. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)