Abstract
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.
Keywords
Chaotic
Schwarzian derivative
Derivative (finance)
Context (archaeology)
Liquid crystal
Nonlinear system
Work (physics)
Statistical physics
Thermodynamics
Physics
Mathematics
Mathematical analysis
Computer science
Optics
Geology
Artificial intelligence
Subject Areas
Liquid Crystal Research Advancements
·Electronic, Optical and Magnetic Materials ·Physical Sciences
Nonlinear Dynamics and Pattern Formation
·Computer Networks and Communications ·Physical Sciences
Molecular spectroscopy and chirality
·Spectroscopy ·Physical Sciences
Citations by Year
2025: 1
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