Transition to chaos in the Duffing oscillator

Details Transition to chaos in the Duffing oscillator Transition to chaos in the Duffing oscillator

Dec 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982phrva..26.3660n&link_type=abstract

Physical Review A (General Physics), Volume 26, Issue 6, December 1982, pp.3660-3663

Physics

General Physics

38

Scientific paper

It is observed in the Duffing oscillator that a bifurcation from a solution composed of only odd harmonics to one composed of both even and odd harmonics precedes the period-doubling bifurcations. Keeping all parameters fixed except for the amplitude of the driving force F, we determine the value of F at which the bifurcation occurs. Results are compared with experiment. A mechanism for the period-doubling bifurcations is suggested.

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