Determination of Chaotic Behavior in Liquid Crystal

Ozdemir Z., Canli N., OCAK H., Eran B. B.

MOLECULAR CRYSTALS AND LIQUID CRYSTALS, cilt.607, sa.1, ss.87-93, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 607 Sayı: 1
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1080/15421406.2014.930222
  • Dergi Adı: MOLECULAR CRYSTALS AND LIQUID CRYSTALS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.87-93
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

In this work, chaotic behavior of 4 '-(3,7-dimethyloctyloxy)-4-biphenylcarboxylic acid liquid crystal (LC) has been investigated by Schwarzian derivative method. Determination of negative Schwarzian derivative constitutes a sufficient condition for specifying chaotic behaviors mathematically in nonlinear systems. For this purpose, temperature variation of heat flow experimental data of LC has been utilized. In this context, the chaotic behavior of the LC compound has been investigated by means of the Schwarzian derivative. The chaotic behavior on the transition has been mathematically proved for both heating and cooling procedure.