Mathematical Analysis of Equation Imitating DNA Base Oscillations
"Математика. Компьютер. Образование". Cб. трудов XVI международной конференции. Под общей редакцией Г.Ю. Ризниченко Ижевск: Научно-издательский центр "Регулярная и хаотическая динамика", 2009. Vol. 2. Pp. 135-144. (accepted)
Rotational oscillations of the bases: adenine (A), thymine (T), guanine (G) and cytosine (C), around one of two sugar-phosphate DNA chains are considered in detail. To construct the model equation, an analogy between rotational oscillations of the bases and rotational oscillations of a single mechanical pendulum was used. The equation was analyzed by the method of phase trajectories. As a result, the phase portraits corresponding to different base oscillators and to different models of surrounding conditions have been obtained.