Stochastic Resonance and Anti-cyclonic Rings in the Gulf of Mexico

  • Benjamín Martínez-López
  • Jorge Zavala-Hidalgo
  • Carlos Gay García
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 256)

Abstract

In this work, we used a nonlinear, reduced gravity model of the Gulf of Mexico to study the effect of a seasonal variation of the reduced gravity parameter on ring-shedding behaviour. When small amplitudes of the seasonal variation are used, the distributions of ring-shedding periods are bi-modal. When the amplitude of the seasonal variation is large enough, the ring-shedding events shift to a regime with a constant, yearly period. If the seasonal amplitude of the reduce gravity parameter is small but a noise term is included, then a yearly regime is obtained, suggesting that stochastic resonance could play a role in the ring-shedding process taking place in the Gulf of Mexico.

Keywords

Gulf of Mexico Ring Shedding Reduced Gravity Model Seasonal Forcing Stochastic Resonance 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Elliott, B.A.: Anticyclonic rings in the Gulf of Mexico. Journal of Physical Oceanography 12, 1292–1309 (1982)CrossRefGoogle Scholar
  2. 2.
    Gammaitoni, L., Hanggi, P., Jung, P., Marchesoni, F.: Stochastic resonance. Rev. Modern Phys. 70, 223–287 (1998)CrossRefGoogle Scholar
  3. 3.
    Halliwell, G.R., Shay, L.K., Brewster, J.K., Teague, W.J.: Evaluation and sensitivity analysis of an ocean model response to hurricane ivan. Mon. Wea. Rev. 139, 921–945 (2011)CrossRefGoogle Scholar
  4. 4.
    Hurlburt, H.E., Thompson, J.D.: A numerical study of Loop Current intrusion and eddy shedding. J. Phys. Oceanogr. 10, 1611–1651 (1980)CrossRefGoogle Scholar
  5. 5.
    Murphy, S.J., Hurlburt, H.E., OBrien, J.J.: The connectivity of eddy variability in the Caribbean Sea, the Gulf of Mexico, and the Atlantic Ocean. J. Geophys. Res. 104, 1431–1453 (1999)CrossRefGoogle Scholar
  6. 6.
    Nowlin Jr., W.D., McLellan, H.J.: A Characterization of the Gulf of Mexico Waters in Winter. Journal of Marine Research 25, 29–59 (1967)Google Scholar
  7. 7.
    Oey, L.-Y., Lee, H.-C., Schmitz Jr., W.J.: Effects of Winds and Caribbean Eddies on the Frequency of Loop Current Eddy Shedding: A Numerical Model Study. J. Geophy. Res. 108(C10) (2003), doi:10.1029/2002JC001698Google Scholar
  8. 8.
    Olson, D.B.: Rings in the ocean. Annu. Rev. Earth Planet. Sci. 19, 283–311 (1991)CrossRefGoogle Scholar
  9. 9.
    Romanou, A., Chassignet, E.P., Sturges, W.: The Gulf of Mexico circulation within a high-resolution numerical simulation of the North Atlantic Ocean. J. Geophys. Res. 109(C01003) (2004), doi:10.1029/2003JC001770Google Scholar
  10. 10.
    Sturges, W., Evans, J.C., Holland, W., Welsh, S.: Separation of warm-core rings in the Gulf of Mexico. J. Phys. Oceanogr. 23, 250–268 (1993)CrossRefGoogle Scholar
  11. 11.
    Welsh, S.E., Inoue, M.: LC rings and the deep circulation in the Gulf of Mexico. J. Geophys. Res. 105, 16,951–16,959 (2000)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Benjamín Martínez-López
    • 1
  • Jorge Zavala-Hidalgo
    • 1
  • Carlos Gay García
    • 1
  1. 1.Center for Atmospherc SciencesNational Autonomous University of MexicoCiudad UniversitariaMexico

Personalised recommendations