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- W2038420970 abstract "Using recently developed techniques of Wiggins [1988] we study the bifurcation to homoclinic tori in the quasiperiodically forced Duffing oscillator. We show how homoclinic tori give rise to chaotic dynamics for single-degree-of-freedom quasiperiodically forced oscillators in much the same way as Smale horseshoes in the periodically forced case. We give a complete description of the bifurcation set in the five-dimensional parameter space for the two-frequency forced Duffing oscillator and then show how the two-frequency results can be used to understand the effects of an arbitrary (but finite) number of frequencies." @default.
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- W2038420970 date "1989-01-01" @default.
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- W2038420970 title "The bifurcation to homoclinic tori in the quasiperiodically forced duffing oscillator" @default.
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- W2038420970 doi "https://doi.org/10.1016/0167-2789(89)90232-7" @default.
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