Department of Applied Mathematics and Physics, Peking University of Aeronautics and Astronautics, Beijing 100083, P. R. China
Abstract:
In this paper, the strongly resonant bifurcations of a nonlinearly coupled Van der Pol-Duffing Oscillator by the classical multi-scale method are studied. It is shown that there exist Periodic motions of a single oscillator, frequency-locking andquasi-periodic motions of two oscillators when the parameters vary. Meanwhile,some numerical results are given to test the theoretical ones.