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Volume 7 Issue 4

Oct.  1990

Article Contents

The Phenomena of Bifurcation and Catastrophe of Large-Scale Horizontal Motion in the Atmosphere under the Effect of Rossby Parameter


doi: 10.1007/BF03008871

  • The stability question of large-scale horizontal motion in the atmosphere under the effect of Rossby parameter is discussed in this paper by using the qualitative analysis theory of ordinary differential equations. The following as-pects are reviewed: The stability of large-scale horizontal motion in the atmosphere accords with the common inertial stability criterion when the effect of Rossby parameter is not considered (Yang, 1983), and that, on the other hand, the motion will bifurcate two times with the variation of absolute vorticity of basic Zephyr flow at the initial position under the effect of Rossby parameter. Furthermore, in the inertial stable region, if the effect of geostrophic deviation at the initial position is considered, the motion will not only bifurcate but also generate a catastrophe.
  • [1] Yang Fanglin, 1991: The Stability of Large-Scale Horizontal Air Motion in the Non-linear Basic Zephyr Flow under the Effect of Rossby Parameter, ADVANCES IN ATMOSPHERIC SCIENCES, 8, 149-164.  doi: 10.1007/BF02658091
    [2] Gao Shouting, 1988: NONLINEAR ROSSBY WAVE INDUCED BY LARGE-SCALE TOPOGRAPHY, ADVANCES IN ATMOSPHERIC SCIENCES, 5, 301-310.  doi: 10.1007/BF02656754
    [3] LI Jun, CHEN Hongbin, Zhanqing LI, WANG Pucai, Maureen CRIBB, FAN Xuehua, 2015: Low-Level Temperature Inversions and Their Effect on Aerosol Condensation Nuclei Concentrations under Different Large-Scale Synoptic Circulations, ADVANCES IN ATMOSPHERIC SCIENCES, 32, 898-908.  doi: 10.1007/s00376-014-4150-z
    [4] Y. L. McHall, 1993: Large Scale Perturbations in Extratropical Atmosphere-Part I: On Rossby Waves, ADVANCES IN ATMOSPHERIC SCIENCES, 10, 169-180.  doi: 10.1007/BF02919139
    [5] Guoqing Li, Robin Kung, Richard L. Pfeffer, 1992: A Fluid Experiment of Large-Scale Topography Effect on Baroclinic Wave Flows, ADVANCES IN ATMOSPHERIC SCIENCES, 9, 17-28.  doi: 10.1007/BF02656926
    [6] Luo Dehai, 1999: Nonlinear Three-Wave Interaction among Barotropic Rossby Waves in a Large-scale Forced Barotropic Flow, ADVANCES IN ATMOSPHERIC SCIENCES, 16, 451-466.  doi: 10.1007/s00376-999-0023-2
    [7] PU Shuzhen, ZHAO Jinping, YU Weidong, ZHAO Yongping, YANG Bo, 2004: Progress of Large-Scale Air-Sea Interaction Studies in China, ADVANCES IN ATMOSPHERIC SCIENCES, 21, 383-398.  doi: 10.1007/BF02915566
    [8] Huw C. DAVIES, 2006: Large-Scale Weather Systems: A Future Research Priority, ADVANCES IN ATMOSPHERIC SCIENCES, 23, 832-841.  doi: 10.1007/s00376-006-0832-5
    [9] Xia Daqing, Zheng Liangjie, 1986: NUMERICAL SIMULATION OF THE GENERATION OF MESOSCALE CONVECTTVE SYSTEMS IN LARGE-SCALE ENVIRONMENT, ADVANCES IN ATMOSPHERIC SCIENCES, 3, 360-370.  doi: 10.1007/BF02678656
    [10] Eric P. CHASSIGNET, Xiaobiao XU, 2021: On the Importance of High-Resolution in Large-Scale Ocean Models, ADVANCES IN ATMOSPHERIC SCIENCES, 38, 1621-1634.  doi: 10.1007/s00376-021-0385-7
    [11] Chen Lianshou, Luo Zhexian, 1995: Effect of the Interaction of Different Scale Vortices on the Structure and Motion of Typhoons, ADVANCES IN ATMOSPHERIC SCIENCES, 12, 207-214.  doi: 10.1007/BF02656833
    [12] Li Maicun, 1987: ON THE LOW-FREQUENCY, PLANETARY-SCALE MOTION IN THE TROPICAL ATMOSPHERE AND OCEANS, ADVANCES IN ATMOSPHERIC SCIENCES, 4, 249-263.  doi: 10.1007/BF02663596
    [13] Y. L. McHall, 1993: Large Scale Perturbations in Extratropical Atmosphere-Part II: On Geostrophic Waves, ADVANCES IN ATMOSPHERIC SCIENCES, 10, 181-192.  doi: 10.1007/BF02919140
    [14] Maeng-Ki KIM, Yeon-Hee KIM, 2010: Seasonal Prediction of Monthly Precipitation in China Using Large-Scale Climate Indices, ADVANCES IN ATMOSPHERIC SCIENCES, 27, 47-59.  doi: 10.1007/s00376-009-8014-x
    [15] Jong-Kil PARK, LU Riyu, LI Chaofan, Eun Byul KIM, 2012: Interannual Variation of Tropical Night Frequency in Beijing and Associated Large-Scale Circulation Background, ADVANCES IN ATMOSPHERIC SCIENCES, 29, 295-306.  doi: 10.1007/s00376-011-1141-1
    [16] Chen Lianshou, Luo Zhexian, 2002: The Impact of the Eastward Shifting of Dipole Systems over Large-Scale Terrain on Tropical Cyclone Tracks, ADVANCES IN ATMOSPHERIC SCIENCES, 19, 1069-1078.  doi: 10.1007/s00376-002-0065-1
    [17] Wang Huijun, Xue Feng, Zhou Guangqing, 2002: The Spring Monsoon in South China and Its Relationship to Large-Scale Circulation Features, ADVANCES IN ATMOSPHERIC SCIENCES, 19, 651-664.  doi: 10.1007/s00376-002-0005-0
    [18] YU Ye, Xiaoming CAI, QIE Xiushu, 2007: Influence of Topography and Large-scale Forcing on the Occurrence of Katabatic Flow Jumps in Antarctica: Idealized Simulations, ADVANCES IN ATMOSPHERIC SCIENCES, 24, 819-832.  doi: 10.1007/s00376-007-0819-x
    [19] SU Qin, LU Riyu, LI Chaofan, 2014: Large-scale Circulation Anomalies Associated with Interannual Variation in Monthly Rainfall over South China from May to August, ADVANCES IN ATMOSPHERIC SCIENCES, 31, 273-282.  doi: 10.1007/s00376-013-3051-x
    [20] FAN Lijun, XIONG Zhe, 2015: Using Quantile Regression to Detect Relationships between Large-scale Predictors and Local Precipitation over Northern China, ADVANCES IN ATMOSPHERIC SCIENCES, 32, 541-552.  doi: 10.1007/s00376-014-4058-7

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Manuscript History

Manuscript received: 10 October 1990
Manuscript revised: 10 October 1990
通讯作者: 陈斌, bchen63@163.com
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The Phenomena of Bifurcation and Catastrophe of Large-Scale Horizontal Motion in the Atmosphere under the Effect of Rossby Parameter

  • 1. Chendu Meteorological Institute, Chendu 610041,Chendu Meteorological Institute, Chendu 610041

Abstract: The stability question of large-scale horizontal motion in the atmosphere under the effect of Rossby parameter is discussed in this paper by using the qualitative analysis theory of ordinary differential equations. The following as-pects are reviewed: The stability of large-scale horizontal motion in the atmosphere accords with the common inertial stability criterion when the effect of Rossby parameter is not considered (Yang, 1983), and that, on the other hand, the motion will bifurcate two times with the variation of absolute vorticity of basic Zephyr flow at the initial position under the effect of Rossby parameter. Furthermore, in the inertial stable region, if the effect of geostrophic deviation at the initial position is considered, the motion will not only bifurcate but also generate a catastrophe.

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