Numerical study of optically induced director oscillations in nematic liquid crystals: Transition to chaos via homoclinic gluings and the role of backflow

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 72, Issue 5, 2005, Pages

  Demeter, G ^a,b   Krimer, D O ^b   Kramer, L ^b  

^a INSTITUTE OF EXPERIMENTAL MEDICINE   (Hungary)

^b UNIVERSITY OF BAYREUTH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DIRECTOR OSCILLATIONS; HOMOCLINIC GLUINGS; NEMATODYNAMIC EQUATIONS;

BIFURCATION (MATHEMATICS); MATHEMATICAL MODELS; MOLECULAR DYNAMICS; OSCILLATIONS; PHASE TRANSITIONS;

NEMATIC LIQUID CRYSTALS;

EID: 28844478931     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.72.051712     Document Type: Article

References (24)

1. N. V. Tabiryan, A. V. Sukhov and B. Ya. Zel'dovich, Mol. Cryst. Liq. Cryst. MCLCA5 0026-8941 136, 1 (1985);
2. F. Simoni, Nonlinear Optical Properties of Liquid Crystals (World Scientific, Singapore, 1997).
3. A. S. Zolotko, Liq. Cryst. LICRE6 0267-8292 15, 787 (1993);
4. G. Cipparrone, V. Carbone, C. Versace, C. Umeton, R. Bartolino, and F. Simoni, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.47.3741 47, 3741 (1993).
5. E. Santamato, P. Maddalena, L. Marrucci, and B. Piccirillo, Liq. Cryst. LICRE6 0267-8292 10.1080/026782998206155 25, 357 (1998).
6. G. Demeter and L. Kramer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.4744 83, 4744 (1999);
7. G. Demeter, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.61.6678 61, 6678 (2000).
8. A. Arneodo, P. Coullet, and C. Tresser, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(81)90239-5 81A, 197 (1981);
9. Y. Kuramoto and S. Koga, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(82)90725-3 92A, 1 (1982);
10. D. V. Lyubimov and M. A. Zaks, Physica D PDNPDT 0167-2789 10.1016/0167-2789(95)00279-0 9, 52 (1983).
11. G. Russo, V. Carbone and G. Cipparrone, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.62.5036 62 5036 (2000);
12. V. Carbone, G. Cipparrone and G. Russo, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.051701 63 051701 (2001).
13. G. Demeter and L. Kramer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.020701 64, 020701 (R) (2001);
14. E. Brasselet, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.013701 72, 013701 (2005)
15. E. Brasselet, B. Doyon, T. V. Galstian, and L. J. Dubé, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.021701 69, 021701 (2004).
16. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals (Clarendon Press, Oxford, 1993).
17. D. W. Berreman, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.322159 46, 3746 (1975);
18. C. Z. van Doorn, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.322177 46, 3738 (1975);
19. S. A. Jewell and J. R. Sambles, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1638903 84, 46 (2004).
20. D. O. Krimer, G. Demeter and L. Kramer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.051711 71, 051711 (2005).
21. L. Marrucci, G. Abbate, S. Ferraiuolo, P. Maddalena, and E. Santamato, Mol. Cryst. Liq. Cryst. Sci. Technol., Sect. A MCLCE9 1058-725X 237, 39 (1993).
22. B. L. Winkler, H. Richter, I. Rehberg, W. Zimmerman, L. Kramer, and A. Buka, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.43.1940 43, 1940 (1991).
23. A. Vella, B. Piccirillo, and E. Santamato, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.031706 65, 031706 (2002).
24. A. Buka and L. Kramer, Pattern Formation in Liquid Crystals (Springer, Berlin, 1995).