We consider a function similar to a spline function, and a system described by a differential equation of evolution, with a free term corresponding to an external pulse. Its simulation, performed in Matlab, is suitable for modeling delayed pulses. It results that this type of differential equation, working on limited time interval, is suitable for modeling pulses which present a minimum negative value before starting to rise towards a final positive value. The presence of fluctuations was taken into account, too. This behavior is appropriate for some liquid crystal fatty acids samples, in interaction with laser fields, presented in the paper.

Abstract

We consider a function similar to a spline function, and a system described by a differential equation of evolution, with a free term corresponding to an external pulse. Its simulation, performed in Matlab, is suitable for modeling delayed pulses. It results that this type of differential equation, working on limited time interval, is suitable for modeling pulses which present a minimum negative value before starting to rise towards a final positive value. The presence of fluctuations was taken into account, too. This behavior is appropriate for some liquid crystal fatty acids samples, in interaction with laser fields, presented in the paper.