In this paper, new energy functionals are described via the variational approach method. By doing this, a new class of elastic curves is described in the three‐dimensional ordinary space. An alternative method is also investigated to compute critical points of the bending energy functionals acting on a class of magnetic curves. Then, classifications of these critical curves are presented as elastic magnetic curves of the Frenet–Serret vectors family. Moreover, the dynamics of the elastic magnetic curves of ferromagnetic and superparamagnetic models are discussed with their numerical and analytical analysis.

中文翻译：

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铁磁和超顺磁模型的弹性磁曲线

在本文中，通过变分方法描述了新的能源功能。通过这样做，在三维普通空间中描述了一类新的弹性曲线。还研究了一种替代方法来计算作用在一类磁曲线上的弯曲能函数的临界点。然后，将这些临界曲线的分类表示为Frenet-Serret向量族的弹性磁曲线。此外，还对铁磁模型和超顺磁模型的弹性磁曲线的动力学特性进行了数值和分析分析。