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This article is cited in 2 scientific papers (total in 2 papers)
Asymptotic analysis of a multiferroic model
L. A. Kalyakina, A. K. Zvezdinbc, Z. V. Gareevad a Institute of Mathematics with Computing Centre — Subdivision
of the Ufa Federal Research Centre of the Russian Academy of Science, Ufa,
Russia
b Prokhorov General Physics Institute of the Russian Academy of Sciences, Moscow, Russia
c National Research University "Higher School of Economics", Moscow, Russia
d Institute of Molecule and Crystal Physics, Ufa Science
Center of the Russian Academy of Science, Ufa, Russia
Abstract:
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.
Received: 02.08.2019 Revised: 24.11.2019
Citation:
L. A. Kalyakin, A. K. Zvezdin, Z. V. Gareeva, “Asymptotic analysis of a multiferroic model”, TMF, 203:1 (2020), 26–39; Theoret. and Math. Phys., 203:1 (2020), 457–468
Linking options:
https://www.mathnet.ru/eng/tmf9790https://doi.org/10.4213/tmf9790 https://www.mathnet.ru/eng/tmf/v203/i1/p26
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Abstract page: | 277 | Full-text PDF : | 26 | References: | 41 | First page: | 12 |
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