Parametric bufferness in systems of parabolic and hyperbolic equations with small diffusion

• Date: 1998
• Main Authors: Kolesov, A. Yu., Mishchenko, E. F., Rozov, N. Kh., Колесов, А. Ю., Мищенко, Е. Ф., Розов, Н. Х.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1998
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4969
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We investigate the problem of parametric excitation of oscillations in systems of parabolic and hyperbolic equations with small coefficient of diffusion. We establish the phenomenon of parametric bufferness, i.e., the existence of an arbitrary fixed number of stable periodic solutions for a proper c...