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bifurcation; time map; cholesteric liquid crystals; Freedericksz transition

References:

[1] Bedford S.: **Global minimisers of cholesteric liquid crystal systems**. arXiv:1411.3599v2, 2014.

[2] Bedford S.: **Analysis of local minima for constrained minimization problems**. arXiv:1411.3595, 2014.

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[5] Leslie F.M.: **Distorted twisted orientation patterns in nematic liquid crystals**. Pramana Suppl. 1 (1975), 41–55.

[6] Leslie F.M.: **Some topics in equilibrium theory of liquid crystals**. in Theory and Applications of Liquid Crystals, J. Ericksen and D. Kinderlehrer, Eds., Springer, New York, 1987, pp. 211–234. MR 0900827

[7] Schaaf R.: **Global Solution Branches of Two-point Boundary Value Problems**. Lecture Notes in Mathematics, 1458, Springer, New York, 1990. DOI 10.1007/BFb0098346 | MR 1090827 | Zbl 0780.34010

[8] Stewart I.W.: **The Static and Dynamic Continuum Theory of Liquid Crystals: A Mathematical Introduction**. Taylor & Francis, London and New York, 2004.

[9] Zel'dovic B.Ya., Tabiryan N.V.: **Freedericksz transition in cholesteric liquid crystals without external fields**. JETP Lett. 34 (1981), no. 8, 406–408.

[10] Zel'dovic B.Ya., Tabiryan N.V.: **Equilibrium structure of a cholesteric with homeotropic orientation on the walls**. Sov. Phys. JETP 56 (1982), no. 3, 563–566.