Abstract
By varying the forcing frequency and amplitude of a periodically forced planar oscillator, the author obtains a rich variety of responses. Whenever the resonance regions that are known to exist for small amplitudes of forcing terminate, he shows that a fixed-point Hopf bifurcation must be involved. The main tool, whose properties he discusses in detail, is a self-rotation number for orbits in the plane. He illustrates his theorems with a numerical model.
Original language | English (US) |
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Pages (from-to) | 261-280 |
Number of pages | 20 |
Journal | Nonlinearity |
Volume | 3 |
Issue number | 2 |
DOIs | |
State | Published - May 1990 |