Stability of Asymptotic Approximation in Models of Multiferroics

Stability of Asymptotic Approximation in Models of Multiferroics

We consider a system of nonlinear differential equations describing the antiferromagnetism victor in a ferrite film. The system contains two parameters and admits a family of exact solutions with plane phase trajectories. Perturbation of such solutions leads to the Hill equation with periodic coeffi...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-06, Vol.255 (4), p.444-458
Hauptverfasser: Kalyakin, L. A., Zvezdin, A. K., Gareeva, Z. V.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Antiferromagnetism
Differential equations
Exact solutions
Mathematics
Mathematics and Statistics
Nonlinear differential equations
Perturbation
Stability
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Beschreibung
Zusammenfassung:We consider a system of nonlinear differential equations describing the antiferromagnetism victor in a ferrite film. The system contains two parameters and admits a family of exact solutions with plane phase trajectories. Perturbation of such solutions leads to the Hill equation with periodic coefficient. We study the stability of the equilibrium state of the Hill equation.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-021-05383-6