Advanced Search
Impact Factor: 5.8

Volume 16 Issue 2

Apr.  1999

Article Contents
Article >  ADVANCES IN ATMOSPHERIC SCIENCES  > 1999 >  16(2): 279-296

Bifurcation of Nonlinear Kelvin Wave-CISK with Conditional Heating in a Truncated Spectral Model: A Possible Mechanism of 30-60-Day Osculation at the Equator

  • 1.

    Department of Atmospheric and Oceanic Sciences, Ocean University of Qingdao, Qingdao 266003


doi: 10.1007/BF02973088

  • In this paper, the nonlinear Kelvin wave equations with “positive-only” nonlinear (conditional) heating at the equator are reduced to a sixth-order nonlinear ordinary differential equation by using the Galerkin spectral truncated method. The stability analysis indicates that when the heating parameter increases, the supercritical pitchfork and Hopf bifurcations can occur for the prescribed three heating profiles. Numerical calculations are made with the help of the fourth-order Rung-Kutta method. It is found that the convec-tion heating-related Hopf bifurcation can lead to limit cycle and chaotic solutions. In a wide range of heat-ing parameter, the solutions possess 30-60-day periods, and are dominated by wavenumbers one and two, especially by wavenurnber-one. In addition, the zonal winds of the low-frequency solutions have a phase reversal between the upper and lower tropospheres. Thus, it appears that the convection heating-related Hopf bifurcation might be a possible mechanism of 30-60-day oscillation in the tropical atmosphere.
  • [1] REN Baohua, HUANG Ronghui, 2003: 30-60-day Oscillations of Convection and Circulation Associated with the Thermal State of the Western Pacific Warm Pool during Boreal Summer, ADVANCES IN ATMOSPHERIC SCIENCES, 20, 781-793.  doi: 10.1007/BF02915403
    [2] LIU Shikuo, LIU Shida, FU Zuntao, XIN Guojun, LIANG Fuming, 2004: The Structure and Bifurcation of Atmospheric Motions, ADVANCES IN ATMOSPHERIC SCIENCES, 21, 557-561.  doi: 10.1007/BF02915723
    [3] Lin Zhenshan, Zhu Yanyu, Deng Ziwang, 1995: Experiments of Reconstructing Discrete Atmospheric Dynamic Models from Data (I), ADVANCES IN ATMOSPHERIC SCIENCES, 12, 121-125.  doi: 10.1007/BF02661295
    [4] Liao Qinghai, Li Chongyin, 1995: CISK-rossby wave and the 30-60 Day Oscillation in the Tropics, ADVANCES IN ATMOSPHERIC SCIENCES, 12, 1-12.  doi: 10.1007/BF02661282
    [5] Pan Xiaoling, Chao Jiping, 2001: The Effects of Climate on Development of Ecosystem in Oasis, ADVANCES IN ATMOSPHERIC SCIENCES, 18, 42-52.  doi: 10.1007/s00376-001-0003-7
    [6] Zeng Qingcun, Zeng Xiaodong, Lu Peisheng, 1994: Simplified Dynamic Models of Grass Field Ecosystem, ADVANCES IN ATMOSPHERIC SCIENCES, 11, 385-390.  doi: 10.1007/BF02658157
    [7] LU Riyu*, DONG Huilin, SU Qin, and Hui DING, 2014: The 30-60-day Intraseasonal Oscillations over the Subtropical Western North Pacific during the Summer of 1998, ADVANCES IN ATMOSPHERIC SCIENCES, 31, 1-7.  doi: 10.1007/s00376-013-3019-x
    [8] Jiangyu MAO, Ming WANG, 2018: The 30-60-day Intraseasonal Variability of Sea Surface Temperature in the South China Sea during May-September, ADVANCES IN ATMOSPHERIC SCIENCES, 35, 550-566.  doi: 10.1007/s00376-017-7127-x
    [9] Li Chongyin, 1993: A Further Inquiry on the Mechanism of 30-60 Day Oscillation in the Tropical Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 10, 41-53.  doi: 10.1007/BF02656952
    [10] Song Yi, Chen Longxun, 1992: The Characteristics of 30-60 Day Oscillation and Its Relations to the Interannual Oscillations, ADVANCES IN ATMOSPHERIC SCIENCES, 9, 323-336.  doi: 10.1007/BF02656942
    [11] Gao Shouting, 1991: A-B Hybrid Equation Method of Nonlinear Bifurcation in Wave-Flow Interaction, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 165-174.  doi: 10.1007/BF02658092
    [12] Chen Longxun, Zhu Congwen, Wang Wen, Zhang Peiqun, 2001: Analysis of the Characteristics of 30-60 Day Low-Frequency Oscillation over Asia during 1998 SCSMEX, ADVANCES IN ATMOSPHERIC SCIENCES, 18, 623-638.  doi: 10.1007/s00376-001-0050-0
    [13] Huang Ronghui, 1994: Interactions between the 30-60 Day Oscillation, the Walker Circulation and the Convective Activities in the Tropical Western Pacific and Their Relations to the Interannual Oscillation, ADVANCES IN ATMOSPHERIC SCIENCES, 11, 367-384.  doi: 10.1007/BF02658156
    [14] Li Chongyin, Han-Ru Cho, Jough-Tai Wang, 2002: CISK Kelvin Wave with Evaporation-Wind Feedback and Air-Sea Interaction A Further Study of Tropical Intraseasonal Oscillation Mechanism, ADVANCES IN ATMOSPHERIC SCIENCES, 19, 379-390.  doi: 10.1007/s00376-002-0073-1
    [15] Zou Chengzhi, Yang Peicai, Zhou Xiuji, 1986: THE EFFECT OF ASPECT RATIO ON THE BIFURCATION PROPERTIES OF A DOUBLE PARALLEL-CONNECTION LORENZ SYSTEM, ADVANCES IN ATMOSPHERIC SCIENCES, 3, 406-423.  doi: 10.1007/BF02657931
    [16] Wan Jun, Yang Fanglin, 1990: The Phenomena of Bifurcation and Catastrophe of Large-Scale Horizontal Motion in the Atmosphere under the Effect of Rossby Parameter, ADVANCES IN ATMOSPHERIC SCIENCES, 7, 409-422.  doi: 10.1007/BF03008871
    [17] Zhang Ren, Yu Zhihao, 2000: Low-Frequency CISK-Rossby Wave and Stratospheric QBO in the Tropical Atmosphere, ADVANCES IN ATMOSPHERIC SCIENCES, 17, 311-321.  doi: 10.1007/s00376-000-0012-y
    [18] Li Chongyin, 1984: ON THE CISK WITH SHEARING BASIC CURRENT, ADVANCES IN ATMOSPHERIC SCIENCES, 1, 256-276.  doi: 10.1007/BF02678138
    [19] Li Chongyin, Wu Peili, 1990: An Observational Study of the 30-50 Day Atmospheric Oscillations Part I: Structure and Propagation, ADVANCES IN ATMOSPHERIC SCIENCES, 7, 294-304.  doi: 10.1007/BF03179762
    [20] Li Chongyin, Zhou Yaping, 1991: An Observational Study of the 30-50 Day Atmospheric Oscillations Part II: Temporal Evolution and Hemispheric Interaction across the Equator, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 399-406.  doi: 10.1007/BF02919263
PDF

Get Citation+

shu
Export:  

Share Article

Article Metrics

Article Views: 1650 Times

PDF downloads: 1053 Times

Cited by: Times
  • 加载中

    • Manuscript History

    Manuscript received: 10 April 1999
    Manuscript revised: 10 April 1999
    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Bifurcation of Nonlinear Kelvin Wave-CISK with Conditional Heating in a Truncated Spectral Model: A Possible Mechanism of 30-60-Day Osculation at the Equator

    • 1. Department of Atmospheric and Oceanic Sciences, Ocean University of Qingdao, Qingdao 266003
    • Manuscript received: 1999-04-10
    • Manuscript revised: 1999-04-10

    Abstract: In this paper, the nonlinear Kelvin wave equations with “positive-only” nonlinear (conditional) heating at the equator are reduced to a sixth-order nonlinear ordinary differential equation by using the Galerkin spectral truncated method. The stability analysis indicates that when the heating parameter increases, the supercritical pitchfork and Hopf bifurcations can occur for the prescribed three heating profiles. Numerical calculations are made with the help of the fourth-order Rung-Kutta method. It is found that the convec-tion heating-related Hopf bifurcation can lead to limit cycle and chaotic solutions. In a wide range of heat-ing parameter, the solutions possess 30-60-day periods, and are dominated by wavenumbers one and two, especially by wavenurnber-one. In addition, the zonal winds of the low-frequency solutions have a phase reversal between the upper and lower tropospheres. Thus, it appears that the convection heating-related Hopf bifurcation might be a possible mechanism of 30-60-day oscillation in the tropical atmosphere.

      HTML

    Catalog

      Publish with AAS

      Contact us

      Links

      Copyright © 2018-2028 ADVANCES IN ATMOSPHERIC SCIENCES 京ICP备14024088号-7

      Supported by: Beijing Renhe Information Technology Co. Ltd  support: info@rhhz.net  

      /

      DownLoad:  Full-Size Img  PowerPoint
      Return
      Return