The homotopic mapping method for sea--air oscillator model of interdecadal climate fluctuations
Mo Jia-Qi (莫嘉琪)ab, Lin Yi-Hua (林一骅)c, Wang Hui (王辉)d
a Anhui Normal University, Wuhu 241000, Chinab Division of Computation Science, E-Institutes of Shanghai Universities at SJTU, Shanghai 200240, China; c ASG, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China; d Chinese Academy of Meteorological Sciences, Beijing 100081, China
Abstract The El Ni?o/La Ni?a Southern Oscillation (ENSO) is an interannual phenomenon involved in the tropical Pacific ocean--atmosphere interactions. In this paper, a coupled system of sea--air oscillator model is studied. The aim is to create an asymptotic solving method of nonlinear equation for the ENSO model. And based on a class of oscillators of ENSO model, employing the method of homotopic mapping, the approximate solution of corresponding problem is studied. It is proven from the results that the homotopic method can be used for analysing the sea surface temperature anomaly in the equatorial eastern Pacific and the thermocline depth anomaly of the atmosphere--ocean oscillation for ENSO model.
Received: 25 June 2005
Revised: 10 August 2005
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos 90111011 and 10471039),the State Key Development Program for Basic Research of China (Grant Nos 2003CB415101-03 and 2004CB418304), the Key Project of the Chinese Academy of Sciences (Grant No KZCX3-SW-221), in part by E-Institutes of Shanghai Municipal Education Commission (Grant No N.E03004), and the Natural Science Foundation of Zhejiang Province, China (Grant No Y604127).
Cite this article:
Mo Jia-Qi (莫嘉琪), Lin Yi-Hua (林一骅), Wang Hui (王辉) The homotopic mapping method for sea--air oscillator model of interdecadal climate fluctuations 2005 Chinese Physics 14 2387
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