搜索

文章查询

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

太阳强迫厄尔尼诺/南方涛动充电振子模型的Hopf分岔与混沌

张妩帆 赵强

太阳强迫厄尔尼诺/南方涛动充电振子模型的Hopf分岔与混沌

张妩帆, 赵强
PDF
导出引用
导出核心图
  • 本文研究了一类太阳强迫的厄尔尼诺/南方涛动(ENSO)充电振子数理模型,通过数学变换将此ENSO振子方程组变换为有周期强迫项的van der Pol-Duffing方程,利用谐波平衡法定性分析得到此ENSO系统发生Hopf分岔的条件并做简单数值模拟,结果发现随着强迫作用增大,11年周期太阳循环强迫的ENSO系统经历准周期、倍频锁相到混沌的过程.
    • 基金项目: 国家自然科学基金(批准号:40975028和41175052)资助的课题.
    [1]

    Philander, S G 1990 El Niño, La Niña, and the Southern Oscillation (London: Academic Press)

    [2]

    Clarke A J 2008 An Introduction to the Dynamics of El Niño and the Southern Oscillation (London: Academic Press)

    [3]

    Sarachik E S and Cane M A 2010 The El Niñ-Southern Oscillation Phenomenon (Cambridge: Cambridge University Press)

    [4]

    McPhaden M J, S E Zebiak, Glantz M H 2006 Science 314 1740

    [5]

    Lin J L 2009 Chin. Ann. Math. 30B 715

    [6]

    Wang C Z 2001 Adv. Atmos. Sci. 18 674

    [7]

    Zhao Q, Liu S K, Liu S D 2012 Acta Phys. Sin. 61 220201 (in Chinese) [赵强, 刘式适, 刘式达 2012 物理学报 61 220201]

    [8]

    Li X J 2010 Chin. Phys. B 19 030201

    [9]

    Wang W, Xu Y, Lu S P 2011 Acta Phys. Sin. 60 030205 (in Chinese) [王雯, 徐燕, 鲁世平 2011 物理学报 60 030205]

    [10]

    Zhang W F, Zhao Q 2013 Chin. Phys. B 22 120201

    [11]

    Zaliapin I, Ghil M 2010 Nonlin. Processes Geophys. 17 123

    [12]

    Tziperman E, Stone L, Cane M, Jarosh H 1994 Science 264 72

    [13]

    Tziperman E, Cane M A, Zebiak S E 1995 J. Atmos. Sci. 50 293

    [14]

    Zhou Q, Chen W, Zhou W 2013 J. Geophys. Res.: Atmospheres 118 5111

    [15]

    Meehl G A, Arblaster J M, Matthes K, Sassi F, Loon H 2009 Science 325 1114

    [16]

    Roy I, Haigh J D 2010 Atmos. Chem. Phys. 10 3147

    [17]

    Haam E, Tung K K 2012 J. Atmos. Sci. 69 2934

    [18]

    Haam E, Tung K K 2013 J. Atmos. Sci. 70 9

    [19]

    White W B, Liu Z 2008 Geophys. Res. Lett. 35 L19607

    [20]

    Saltzman B 2002 Dynamical paleoclimatology: generalized theory of global climate change (international geophysics) (London: Academic Press)

    [21]

    Rial J A, Saha R 2013 Abrupt Climate Change: Mechanisms, Patterns, and Impacts American Geophysical Union, Washington, D.C.

    [22]

    B. De Saedeleer, Crucifix M, Wieczorek S 2013 Climate Dyn. 40 273

    [23]

    Jin F F 1997 J. Atmos. Sci. 54 811

    [24]

    Zhu B Z, Jin F F, Liu Z Y 1991 An Introduction to the nonlinear Dynamics of the atmosphere and ocean (Beijing: Ocean Press) (in Chinese) [朱抱真, 金飞飞, 刘征宇 1991 大气和海洋的非线性动力学概论 (北京: 海洋出版社)]

    [25]

    Hu H Y 2000 Applied Nonlinear Dynamics (Beijing: Aviation Industry Press) (in Chinese) [胡海岩 2000 应用非线性动力学 (北京: 航空工业出版社)]

  • [1]

    Philander, S G 1990 El Niño, La Niña, and the Southern Oscillation (London: Academic Press)

    [2]

    Clarke A J 2008 An Introduction to the Dynamics of El Niño and the Southern Oscillation (London: Academic Press)

    [3]

    Sarachik E S and Cane M A 2010 The El Niñ-Southern Oscillation Phenomenon (Cambridge: Cambridge University Press)

    [4]

    McPhaden M J, S E Zebiak, Glantz M H 2006 Science 314 1740

    [5]

    Lin J L 2009 Chin. Ann. Math. 30B 715

    [6]

    Wang C Z 2001 Adv. Atmos. Sci. 18 674

    [7]

    Zhao Q, Liu S K, Liu S D 2012 Acta Phys. Sin. 61 220201 (in Chinese) [赵强, 刘式适, 刘式达 2012 物理学报 61 220201]

    [8]

    Li X J 2010 Chin. Phys. B 19 030201

    [9]

    Wang W, Xu Y, Lu S P 2011 Acta Phys. Sin. 60 030205 (in Chinese) [王雯, 徐燕, 鲁世平 2011 物理学报 60 030205]

    [10]

    Zhang W F, Zhao Q 2013 Chin. Phys. B 22 120201

    [11]

    Zaliapin I, Ghil M 2010 Nonlin. Processes Geophys. 17 123

    [12]

    Tziperman E, Stone L, Cane M, Jarosh H 1994 Science 264 72

    [13]

    Tziperman E, Cane M A, Zebiak S E 1995 J. Atmos. Sci. 50 293

    [14]

    Zhou Q, Chen W, Zhou W 2013 J. Geophys. Res.: Atmospheres 118 5111

    [15]

    Meehl G A, Arblaster J M, Matthes K, Sassi F, Loon H 2009 Science 325 1114

    [16]

    Roy I, Haigh J D 2010 Atmos. Chem. Phys. 10 3147

    [17]

    Haam E, Tung K K 2012 J. Atmos. Sci. 69 2934

    [18]

    Haam E, Tung K K 2013 J. Atmos. Sci. 70 9

    [19]

    White W B, Liu Z 2008 Geophys. Res. Lett. 35 L19607

    [20]

    Saltzman B 2002 Dynamical paleoclimatology: generalized theory of global climate change (international geophysics) (London: Academic Press)

    [21]

    Rial J A, Saha R 2013 Abrupt Climate Change: Mechanisms, Patterns, and Impacts American Geophysical Union, Washington, D.C.

    [22]

    B. De Saedeleer, Crucifix M, Wieczorek S 2013 Climate Dyn. 40 273

    [23]

    Jin F F 1997 J. Atmos. Sci. 54 811

    [24]

    Zhu B Z, Jin F F, Liu Z Y 1991 An Introduction to the nonlinear Dynamics of the atmosphere and ocean (Beijing: Ocean Press) (in Chinese) [朱抱真, 金飞飞, 刘征宇 1991 大气和海洋的非线性动力学概论 (北京: 海洋出版社)]

    [25]

    Hu H Y 2000 Applied Nonlinear Dynamics (Beijing: Aviation Industry Press) (in Chinese) [胡海岩 2000 应用非线性动力学 (北京: 航空工业出版社)]

  • [1] 庄志本, 李军, 刘静漪, 陈世强. 基于新的五维多环多翼超混沌系统的图像加密算法. 物理学报, 2020, 69(4): 040502. doi: 10.7498/aps.69.20191342
    [2] 杨永霞, 李玉叶, 古华光. Pre-Bötzinger复合体的从簇到峰放电的同步转迁及分岔机制. 物理学报, 2020, 69(4): 040501. doi: 10.7498/aps.69.20191509
    [3] 蒋涛, 任金莲, 蒋戎戎, 陆伟刚. 基于局部加密纯无网格法非线性Cahn-Hilliard方程的模拟. 物理学报, 2020, (): . doi: 10.7498/aps.69.20191829
  • 引用本文:
    Citation:
计量
  • 文章访问数:  742
  • PDF下载量:  868
  • 被引次数: 0
出版历程
  • 收稿日期:  2014-01-15
  • 修回日期:  2014-02-26
  • 刊出日期:  2014-11-05

太阳强迫厄尔尼诺/南方涛动充电振子模型的Hopf分岔与混沌

  • 1. 北京大学物理学院, 北京 100871
    基金项目: 

    国家自然科学基金(批准号:40975028和41175052)资助的课题.

摘要: 本文研究了一类太阳强迫的厄尔尼诺/南方涛动(ENSO)充电振子数理模型,通过数学变换将此ENSO振子方程组变换为有周期强迫项的van der Pol-Duffing方程,利用谐波平衡法定性分析得到此ENSO系统发生Hopf分岔的条件并做简单数值模拟,结果发现随着强迫作用增大,11年周期太阳循环强迫的ENSO系统经历准周期、倍频锁相到混沌的过程.

English Abstract

参考文献 (25)

目录

    /

    返回文章
    返回