吴勇,欧阳首承. 1992. 弱受迫作用下大气对流运动进入混沌的条件及分岔途径[J]. 气象学报, 50(3):373-377, doi:10.11676/qxxb1992.046
弱受迫作用下大气对流运动进入混沌的条件及分岔途径
THE CONDITION OF THE INTROMITTED CHAOS AND THE BRANCHY ROAD OF THE ATMOSPHERIC CONVECTION UNDER A WEAK FORCED EFFECT
投稿时间:1989-12-20  最后修改时间:1991-02-09
DOI:10.11676/qxxb1992.046
中文关键词:  
英文关键词:
基金项目:
作者单位
吴勇 四川涪陵地区气象局, 648000 
欧阳首承 成都气象学院, 610041 
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中文摘要:
      Guckenheimer和Holmes[1]针对弱受迫系统或如下的小参数受迫方程组 系统地介绍了研究混沌性的解析方法.式中“·”表示对时间求导数,上标i=1,2;参数λ∈Rm(R表示实数域,m:维数),gi(x1,x2,λ,t+1)=gi(x1,x2,λ,t)为周期函数;o<ε<<1.式(1)突出了非线性作用,故为弱受迫的非线性系统.
英文摘要:
      In this paper, by using the Melnikov-Holmes method the state of the atmospheric convection under a weak forced effect and its duffing equation are discussed. The results show that the intromitted chaos needs certain condition and the atmospheric convection can get to the threshold of entered into chaos through transfinite branch of odd order, and out from chaos under the effect of certain friction and dissipation.
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