Stability of the Λ-fractional equilibrium states of nematic liquid crystals is discussed. Applying bifurcation theory in the Λ-fractional space, branching analysis of the liquid crystals is performed and their constant initial direction ceases to exist at a critical value of the external (electromagnetic) field. Post-critical analysis is performed, defining the variable orientation of the crystals. The analysis is transferred into the initial space, defining the true variable orientation of the liquid crystal field.

中文翻译：

---

Λ级分液晶的平衡

讨论了向列液晶的Λ分数平衡态的稳定性。在Λ分数空间中应用分岔理论，对液晶进行分支分析，并且在外部（电磁）场的临界值处，它们的恒定初始方向不再存在。进行后临界分析，定义晶体的可变方向。分析被转移到初始空间，定义液晶场的真实可变方向。