TY - JOUR AU - I. O. Parasyuk AU - B. V. Repeta AU - A. M. Samoilenko PY - 2015/07/25 Y2 - 2024/03/28 TI - Dynamical Bifurcation of Multifrequency Oscillations in a Fast-Slow System JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 67 IS - 7 SE - Research articles DO - UR - https://umj.imath.kiev.ua/index.php/umj/article/view/2032 AB - We study a dynamical analog of bifurcations of invariant tori for a system of interconnected fast phase variables and slowly varying parameters. It is shown that, in this system, due to the slow evolution of the parameters, we observe the appearance of transient processes (from the damping process to multifrequency oscillations) asymptotically close to motions on the invariant torus. ER -