Geodesic
Asymptotic analysis of a~multiferroic model
Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 1, pp. 26-39

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We consider a system of nonlinear autonomous differential equations that describe the orientation of the antiferromagnetic vector in a multiferroic film and find the conditions for the existence of spatially modulated structures of the cycloid type. We investigate the stability of such structures under spatial perturbations.
Keywords: multiferroics, nonlinear equation, variational problem, small parameter, asymptotics. 
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     author = {L. A. Kalyakin and A. K. Zvezdin and Z. V. Gareeva},
     title = {Asymptotic analysis of a~multiferroic model},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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L. A. Kalyakin; A. K. Zvezdin; Z. V. Gareeva. Asymptotic analysis of a~multiferroic model. Teoretičeskaâ i matematičeskaâ fizika, Tome 203 (2020) no. 1, pp. 26-39. http://geodesic.mathdoc.fr/item/TMF_2020_203_1_a2/