Generation of interannual and interdecadal climate oscillations through nonlinear subharmonic resonance in delayed oscillators

Details Generation of interannual and interdecadal climate oscillations through nonlinear subharmonic resonance in delayed oscillators Generation of interannual and interdecadal climate oscillations through nonlinear subharmonic resonance in delayed oscillators

Aug 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004georl..3116206m&link_type=abstract

Geophysical Research Letters, Volume 31, Issue 16, CiteID L16206

Physics

Geophysics

5

Global Change: Climate Dynamics (3309), Mathematical Geophysics: Nonlinear Dynamics, Meteorology And Atmospheric Dynamics: Ocean/Atmosphere Interactions (0312, 4504), Oceanography: General: Climate And Interannual Variability (3309), Oceanography: Physical: El Nino

Scientific paper

The resonant behavior of delayed oscillators is studied using two simple prototype equations similar to that used by Suarez and Schopf. One prototype equation has a periodic modulation of simultaneous feedback, and the other prototype equation has a periodic external forcing term. The periodic modulation yields even-multiple resonance to the modulation periods, while the periodic forcing results in odd-multiple resonance to the forcing periods. The reason why these two-types of resonance occur in each system is explained. The key mechanism for the resonance is that a positive simultaneous feedback for small amplitudes sets a threshold. Only when the sum of non-simultaneous terms is larger than the threshold, a phase reversal can take place. The implications of El Niño elimination due to annual cycle and potential importance for the decadal variability are discussed.

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