ENSO seasonal synchronization theory

Journal of Climate

Volumn 27, Issue 14, 2014, Pages 5285-5310

  Stein, Karl ^a   Timmermann, Axel ^a   Schneider, Niklas ^a   Jin, Fei Fei ^a   Stuecker, Malte F ^a  

^a UNIVERSITY OF HAWAII   (United States)

Author keywords

Climate models; Differential equations; ENSO; Stochastic models

Indexed keywords

ATMOSPHERIC PRESSURE; CLIMATE MODELS; DIFFERENTIAL EQUATIONS; MODULATION; STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

ANNUAL MODULATIONS; COUPLED GENERAL CIRCULATION MODELS; ENSO; KEY CHARACTERISTICS; NONLINEAR FREQUENCY; POSSIBLE MECHANISMS; RECHARGE OSCILLATOR; VARYING BACKGROUND;

SYNCHRONIZATION;

ANNUAL VARIATION; CLIMATE MODELING; EL NINO-SOUTHERN OSCILLATION; EQUATION; SEASONAL VARIATION; STOCHASTICITY; THEORETICAL STUDY;

PACIFIC OCEAN; PACIFIC OCEAN (EQUATORIAL);

EID: 84904488715     PISSN: 08948755     EISSN: None     Source Type: Journal    
DOI: 10.1175/JCLI-D-13-00525.1     Document Type: Article

References (55)

1. An, S., and F. Jin, 2004: Nonlinearity and asymmetry of ENSO. J. Climate, 17, 2399-2412
2. An, S., and F. Jin, 2011: Linear solutions for the frequency and amplitude modulation of ENSO by the annual cycle. Tellus, 63A, 238-243.
3. Arnol'd, V. I., M. Levi, and J. Szucs, 1983: Geometrical Methods in the Theory of Ordinary Differential Equations. 2nd ed. Springer-Verlag, 351 pp.
4. Balmaseda, M. A., M. K. Davey, and D. L. Anderson, 1995: Decadal and seasonal dependence of ENSO prediction skill. J. Climate, 8, 2705-2715
5. Burgers, G., and D. Stephenson, 1999: The normality of El Niño. Geophys. Res. Lett., 26, 1027-1030
6. Chang, P., B. Wang, T. Li, and L. Ji, 1994: Interactions between the seasonal cycle and the southern oscillation-Frequency entrainment and chaos in a coupled ocean-atmosphere model. Geophys. Res. Lett., 21, 2817-2820
7. Gabor, D., 1946: Theory of communication. J. IEEE, 93, 429-457
8. Galanti, E., E. Tziperman, M. Harrison, A. Rosati, R. Giering, and Z. Sirkes, 2002: The equatorial thermocline outcropping-A seasonal control on the tropical Pacific Ocean-atmosphere instability strength. J. Climate, 15, 2721-2739
9. Harrison, D., and G. Vecchi, 1999: On the termination of El Niño. Geophys. Res. Lett., 26, 1593-1596
10. Hendon, H. H., M. C. Wheeler, and C. Zhang, 2007: Seasonal dependence of the MJO-ENSO relationship. J. Climate, 20, 531-543
11. Hirst, A., 1986: Unstable and damped equatorial modes in simple coupled ocean-atmosphere models. J. Atmos. Sci., 43, 606-632
12. Jin, F.-F., 1997: An equatorial ocean recharge paradigm for ENSO. Part I: Conceptual model. J. Atmos. Sci., 54, 811-829
13. Jin, F.-F, J. Neelin, and M. Ghil, 1994: El Niño on the devil's staircase: Annual subharmonic steps to chaos. Science, 264, 70-72
14. Jin, F.-F, J. Neelin, and M. Ghil, 1996: El Niño/Southern Oscillation and the annual cycle: Subharmonic frequency-locking and aperiodicity. Physica D, 98, 442-465
15. Jin, F.-F, S. Kim, and L. Bejarano, 2006: A coupled-stability index for ENSO. Geophys. Res. Lett., 33, L23708
16. Jin, F.-F, L. Lin, A. Timmmerman, and J. Zhao, 2007: Ensemble-mean dynamics of the ENSO recharge oscillator under statedependent stochastic forcing. Geophys. Res. Lett., 34, L03807
17. Johnson, S., D. Battisti, and E. Sarachik, 2000: Empirically derived Markov models and prediction of tropical Pacific sea surface temperature anomalies. J. Climate, 13, 3-17
18. Kallummal, R., and B. Kirtman, 2008: Validity of a linear stochastic view of ENSO in an ACGCM. J. Atmos. Sci., 65, 3860-3879
19. Kessler, W., and R. Kleeman, 2000: Rectification of the Madden-Julian oscillation into the ENSO cycle. J. Climate, 13, 3560-3575
20. Kessler, M. McPhaden, and K. Weickmann, 1995: Forcing of the intraseasonal Kelvin waves in the equatorial Pacific. J. Geophys. Res., 100, 10 613-10 631
21. Kralemann, B., L. Cimponeriu, M. Rosenblum, A. Pikovsky, and R. Mrowka, 2008: Phase dynamics of coupled oscillators reconstructed from data. Phys. Rev. E, 77, 066205.
22. Larkin, N. K., and D. E. Harrison, 2002:ENSOwarm (El Niño) and cold (La Niña) event life cycles: Ocean surface anomaly patterns, their symmetries, asymmetries, and implications. J. Climate, 15, 1118-1140
23. Lengaigne, M., J. P. Boulanger, C. Menkes, and H. Spencer, 2006: Influence of the seasonal cycle on the termination of El Niño events in a coupled general circulation model. J. Climate, 19, 1850-1868
24. Levine, A. F., and F.-F. Jin, 2010: Noise-induced instability in the ENSO recharge oscillator. J. Atmos. Sci., 67, 529-542
25. Liu, Z., 2002: A simple model study of ENSO suppression by external periodic forcing. J. Climate, 15, 1088-1098
26. McGregor, S., A. Timmermann, N. Schneider, M. Stuecker, and M. England, 2012: The Effect of the South Pacific convergence zone on the termination of El Niño events and the meridional asymmetry of ENSO. J. Climate, 25, 5566-5586
27. McPhaden, M. J., S. E. Zebiak, and M. H. Glantz, 2006: ENSO as an integrating concept in Earth science. Science, 314, 1740-1745
28. Mettin, R., U. Parlitz, and W. Lauterborn, 1993: Bifurcation structure of the driven van der Pol oscillator. Int. J. Bifurcat. Chaos, 3, 1529-1555
29. Neelin, J., and F.-F. Jin, 1993a: Modes of interannual tropical ocean-atmosphere interaction-A unified view. Part I: Numerical results. J. Atmos. Sci., 50, 3477-3503
30. Neelin, J., and F.-F. Jin, 1993b: Modes of interannual tropical ocean- atmosphere interaction-A unified view. Part III: Analytical results in fully coupled cases. J. Atmos. Sci., 50, 3523-3540
31. Neelin, J., D. Battisti, A. Hirst, F. Jin, Y. Wakata, T. Yamagata, and S. Zebiak, 1998: ENSO theory. J. Geophys. Res., 103, 14 261-14 290
32. Pan, A., Q. Liu, and Z. Liu, 2005: Periodic forcing and ENSO suppression in the Cane-Zebiak model. J. Oceanogr., 61, 109-113
33. Pasmanter, R., and A. Timmermann, 2003: Cyclic Markov chains with an application to an intermediate ENSO model. Nonlinear Processes Geophys., 10, 197-210
34. Philander, S., 1983: El Niño Southern Oscillation phenomena. Nature, 302, 295-301
35. Philander, S, T. Yamagata, and R. Pacanowski, 1984: Unstable air-sea interactions in the tropics. J. Atmos. Sci., 41, 604-613
36. Pikovksy, A., M. Rosenblum, and J. Kurths, 2000: Phase synchronization in regular and chaotic systems. Int. J. Bifurcat. Chaos, 10, 2291-2305
37. Rasmusson, E., and T. Carpenter, 1982: Variations in tropical sea surface temperature and surface wind fields associated with the Southern Oscillation/El Niño. Mon. Wea. Rev., 110, 354-384
38. Smith, T., R. Reynolds, T. Peterson, and J. Lawrimore, 2008: Improvements to NOAA's historical merged land ocean surface temperature analysis (1880-2006). J. Climate, 21, 2283-2296
39. Stein, K., N. Schneider, A. Timmermann, and F.-F. Jin, 2010: Seasonal synchronization of ENSO events in a linear stochastic model. J. Climate, 23, 5629-5643
40. Stein, K., N. Schneider, A. Timmermann, and F.-F. Jin, 2011: Phase synchronization of the El Niño- Southern Oscillation with the annual cycle. Phys. Rev. Lett., 107, 128501
41. Stuecker, M. F., A. Timmermann, F.-F. Jin, S. McGregor, and H.-L. Ren, 2013: A combination mode of the annual cycle and the El Niño/Southern Oscillation. Nat. Geosci., 6, 540-544
42. Suarez, M. J., and P. Schopf, 1988: A delayed action oscillator for ENSO. J. Atmos. Sci., 45, 3283-3287
43. Taylor, K. E., R. Stouffer, and G. Meehl, 2012: An overview of CMIP5 and the experiment design. Bull. Amer. Meteor. Soc., 93, 485-498
44. Thompson, C., and D. Battisti, 2000: A linear stochastic dynamical model of ENSO. Part I: Model development. J. Climate, 13, 2818-2832
45. Torrence, C., and P. J. Webster, 1998: The annual cycle of persistence in the El Niño/Southern Oscillation. Quart. J. Roy. Meteor. Soc., 124, 1985-2004
46. Trenberth, K. E., G. W. Branstator, D. Karoly, A. Kumar, N. C. Lau, and C. Ropelewski, 1998: Progress during TOGA in understanding and modeling global teleconnections associated with tropical sea surface temperatures. J. Geophys. Res., 103, 14 291-14 324
47. Tziperman, E., E. Stone, M. Cane, and H. Jarosh, 1994: El Niño chaos: Overlapping of resonances between the seasonal cycle and the Pacific ocean-atmosphere oscillator. Science, 264, 72-74
48. Tziperman, E, S. Zebiak, and M. Cane, 1995: Irregularity and locking to the seasonal cycle in an ENSO prediction model asexplained by the quasi-periodicity route to chaos. J. Atmos. Sci., 52, 293-306
49. Tziperman, E, S. Zebiak, and M. Cane, 1997: Mechanisms of seasonal-ENSO interaction. J. Atmos. Sci., 54, 61-71
50. van der Pol, B., 1927: Forced oscillations in a circuit with non-linear resistance (reception with reactive triode). London Edinburgh Dublin Philos. Mag., 3, 65-80.
51. Wang, B., and Z. Fang, 1996: Chaotic oscillations of tropical climate: A dynamic system theory for ENSO. J. Atmos. Sci., 53, 2786-2802
52. Wang, B, R. Wu, R. Lukas, and S. An, 1999: A possible mechanism for ENSO turnabouts. J. Climate, 11, 2191-2199.
53. Xue, Y., M. Cane, and S. Zebiak, 1997: Predictability of a coupled model of ENSO using singular vector analysis. Part I: Optimal growth in seasonal background and ENSO cycles. Mon. Wea. Rev., 125, 2043-2056
54. Yan, B., and R. Wu, 2007: Relative roles of different components of the basic state in the phase locking of El Niño mature phases. J. Climate, 20, 4267-4277
55. Zebiak, S., and M. Cane, 1987: A model ENSO. Mon. Wea. Rev., 115, 2262-2278