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- W2082600171 abstract "It has been known for some time that, when forced oscillations are imposed upon a naturally oscillating system, subharmonic, quasi-periodic and chaotic responses can occur. In the plane of forcing amplitude and frequency, these regions of subharmonic behaviour form V-shaped “resonance horns” near zero forcing amplitude and at forcing frequencies which are rational fractions of the natural frequency of the system. At very large amplitudes only responses with the same period as the forcing are possible. Several conjectures are made as to how all of the resonance horns generically evolve between these two extremes for forced oscillations in oscillatory systems that are near a Hopf bifurcation. Numerical studies of three different chemical oscillators are then presented (a surface reaction, the nonisothermal CSTR, and the Brusselator) as examples. For the surface reaction model, resonance horns are constructed for three different mean values of the parameter being forced, including one which is just outside of the autonomously oscillating region of the parameter space." @default.
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- W2082600171 date "1988-01-01" @default.
- W2082600171 modified "2023-10-08" @default.
- W2082600171 title "Response of nonlinear oscillators to forced oscillations: Three chemical reaction case studies" @default.
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- W2082600171 doi "https://doi.org/10.1016/0009-2509(88)80026-5" @default.
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