Nonlinear bifurcation dissipation of the Chandler wobble.

Details Nonlinear bifurcation dissipation of the Chandler wobble. Nonlinear bifurcation dissipation of the Chandler wobble.

Feb 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999acasn..40...94w&link_type=abstract

Acta Astron. Sin., Vol. 40, No. 1, p. 94 - 100

Astronomy and Astrophysics

Astronomy

1

Chandler Wobble

Scientific paper

The CW equation is modified to be the Duffing equation by using a planae nonlinear pendulum model with linear damping and periodic forcing. By solving the Duffing equation with approximate CW, nonnegligible nonlinear bifurcation solutions are obtained by introducing a minute nonlinear term into the equation on the basis of the resonance excitation model of CW. With the Duffing equation, several nonlinear phenomena are interpreted, such that the reason for amplitude-dependence is resonance jumping and that for frequency broad band is frequency floating and frequency up-piling. The wobble energy is dissipated partly by bifurcation and the minimum amplitude event in 1920s can be illustrated by phase-resetting.

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