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.

中文翻译：

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多铁性模型的渐近分析

我们考虑描述多铁性薄膜中反铁磁矢量方向的非线性自主微分方程系统，并找到摆线型空间调制结构存在的条件。我们研究了这种结构在空间扰动下的稳定性。