Taming of the Hopf bifurcation in a driven El Niño model

2020 ◽  
Vol 75 (8) ◽  
pp. 699-704
Author(s):  
Karthikeyan Rajagopal ◽  
Durairaj Premraj ◽  
Kathamuthu Thamilmaran ◽  
Viet-Thanh Pham ◽  
Anitha Karthikeyan ◽  
...  

AbstractIn this paper, we consider the well-known Vallis model for El Niño driven by an external excitation. The bifurcation studies on the driven Vallis model are conducted with different control parameters. Then we discuss about the taming of the Hopf bifurcation by varying the driving function. We could note that the system changes its state from stable steady state to oscillatory state and vice versa which is achieved by changing the driving function. Finally, two parameter bifurcation plots are derived to show that impact of the driving function on the system bifurcation points.

2019 ◽  
Vol 29 (03) ◽  
pp. 1950032 ◽  
Author(s):  
Karthikeyan Rajagopal ◽  
Sajad Jafari ◽  
Viet-Thanh Pham ◽  
Zhouchao Wei ◽  
Durairaj Premraj ◽  
...  

In this paper, the well-known Vallis model for El Niño is analyzed for the parameter condition [Formula: see text]. The conditions for the stability of the equilibrium points are derived. The condition for Hopf bifurcation occurring in the system for [Formula: see text] and [Formula: see text] are investigated. The multistability feature of the Vallis model when [Formula: see text] is explained with forward and backward continuation bifurcation plots and with the coexisting attractors. The creation of period doubling followed by their annihilation via inverse period-doubling bifurcation known as antimonotonicity occurrence in the Vallis model for [Formula: see text] is presented for the first time in the literature.


2006 ◽  
Vol 19 (19) ◽  
pp. 4854-4876 ◽  
Author(s):  
Thomas Toniazzo

Abstract The ENSO variability in three long, stable, steady-state integrations of the Third Hadley Centre Coupled Ocean–Atmosphere GCM (HadCM3) is analyzed, relevant to climatic conditions of the Last Glacial Maximum (LGM), of the preindustrial period [control (CTL)], and of a greenhouse stabilization scenario (GHS) at 4 times the preindustrial CO2 concentration. It is found that progressively from LGM to CTL and GHS, the SST variability pattern associated with ENSO is centered farther west, and the oscillation acquires a shorter dominant period. While there are no large changes in total SST variability, very strong events become less frequent, and El Niño events develop over a narrower period within the seasonal cycle. The westward ENSO pattern shift is concurrent with a similar shift in the climatological wind stress distribution and with increased convective activity over the west equatorial Pacific. The wind response to anomalous SSTs follows this shift and increases in strength. The thermocline feedback becomes stronger in the 4 × CO2 integration, but the largest SST anomalies are associated with surface processes. The role of surface flux damping for the decay of anomalous SSTs is reduced in LGM and increased in GHS. From the analysis, the principal changes in mean climate that appear to affect the evolution of ENSO-related SST anomalies in HadCM3 are thus the changes in zonal wind stress over the equator, the depth of the equatorial thermocline, and the sensitivity of atmospheric convection to equatorial SST anomalies.


2020 ◽  
Vol 55 (4) ◽  
pp. 1-14
Author(s):  
K. Legal ◽  
P. Plantin
Keyword(s):  
El Niño ◽  

2020 ◽  
Vol 54 (3) ◽  
pp. 1-15
Author(s):  
K. Legal ◽  
P. Plantin
Keyword(s):  
El Niño ◽  

Author(s):  
C. Thévenin-Lemoine ◽  
F. Accadbled ◽  
J. Sales de Gauzy
Keyword(s):  
El Niño ◽  

2019 ◽  
Vol 25 (1) ◽  
Author(s):  
MASROOR ALI KHAN ◽  
KHALID AL GHAMDI ◽  
JAZEM A. MEHYOUB ◽  
RAKHSHAN KHAN

The focus of this study is to find the relationship between El Nino and dengue fever cases in the study area.Mosquito density was recorded with the help of light traps and through aspirators collection. Climate data were obtained from National Meteorology and Environment centre. (Year wise El Nino and La Nina data are according to NOAA & Golden Gate Weather Services). Statistical methods were used to establish the correlation coefficient between different factors. A high significant relationship was observed between Relative Humidity and Dengue fever cases, but Aedes abundance had no significant relationship with either Relative humidity and Temperature. Our conclusion is that the El Nino does not affect the dengue transmission and Aedes mosquito abundance in this region, which is supported by earlier works.


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