an:02170684
Zbl 1072.34509
Tan, Chin An; Kang, Bongsu
Chaotic motions of a Duffing oscillator subjected to combined parametric and quasiperiodic excitation
EN
Int. J. Nonlinear Sci. Numer. Simul. 2, No. 4, 353-364 (2001).
00080172
2001
j
34C28 34C15 34C27 34C60
Summary: The forced response of a Mathieu-Duffing oscillator subjected to a two-frequency quasiperiodic excitation is examined in the context when the ratio of the excitation frequencies is large. Numerical results are obtained by the spectral balance method and compared with those predicted by direct numerical integrations. Characteristics of the response as a frequency parameter is tuned, are investigated in terms of the time histories, frequency spectra, Poincar?? sections and Lyapunov exponents. It is observed that routes to chaotic motions are different for frequency ranges near the natural frequency of the linear system and near the parametric resonance frequency. It is also shown that the contribution of the small frequency component is important in the prediction of chaotic motions.