Асимптотичнi хвильовi розв’язки моделi середовища з осциляторами Ван дер Поля

• Date: 2018
• Main Authors: Danylenko, V. A., Skurativskyi, S. I., Skurativska, I. A.
• Format: Article
• Language: English; Ukrainian
• Published: Publishing house "Academperiodika" 2018
• Subjects: нелiнiйнi хвилi; осцилятор Ван дер Поля; хаотичний атрактор
• Online Access: https://ujp.bitp.kiev.ua/index.php/ujp/article/view/2018530
• Journal Title: Ukrainian Journal of Physics

A one-dimensional mathematical model for a complex medium with van der Pol oscillators has been studied. Using the Bogolyubov–Mitropolsky method, the wave solutions for a weakly nonlinear model are derived, with their amplitudes being described by a three-dimensional dynamical system analyzed in mor...