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• W1967049588 abstract "Depending on the parameters of a parametrically forced pendulum system the boundaries of subharmonic and homoclinic bifurcations are calculated on the basis of the Melnikov method and of averaging methods. It is shown that, as a parameter is varied, repeated resonances of successively higher periods occur culminating in homoclinic orbits. According to the theorem of Smale homoclinic bifurcation is the source of the unstable chaotic motions observed. For some selected parameter sets the theoretical predictions are tested by numerical calculations. Very good agreement is found between analytical and numerical results." @default.
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• W1967049588 date "1985-05-01" @default.
• W1967049588 modified "2023-10-16" @default.
• W1967049588 title "Subharmonic and homoclinic bifurcations in a parametrically forced pendulum" @default.
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• W1967049588 doi "https://doi.org/10.1016/0167-2789(85)90082-x" @default.
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