smale horseshoe meaning in English
斯梅尔马蹄
Examples
- The critical value when poincare mapping taken the form of smale horseshoes chaos is presented 3
给出了poincare映射出现smale马蹄混沌的临界值。 - These results are of great significance for studying and analyzing the smale horseshoes chaos of equation ( 1 )
这些结果对于分析和研究方程( 1 )的smale马蹄西南交通大学博士研究生学位论文第11页混浊运动具有重要意义。 - The global bifurcation analysis of the nonlinear nonplanar cantilever is given by a global perturbation method developed by kovacic and wiggins . it is found that the nonlinear nonplanar cantilever can undergo the hopf bifurcation , heteroclinic bifurcations and silnikov - type homoclinic orbit to saddle focus , which means that the nonlinear nonplanar cantilever can give rise to the chaotic motion in the sense of smale horseshoes
利用kovacic和wiggins的全局摄动法对非线性非平面运动悬臂梁进行了全局动力学分析，发现系统存在hopf分叉和异宿分叉，并证明系统有silnikov型鞍焦点型同宿轨道，可以产生smale马蹄意义下的混沌。 - Every result in the paper is presented through specific analytic expression , including the analytic expression of homoclinic orbit or heteroclinic orbit and its melnikov function , analytical expression of periodical track surrounding the center - type singular point within the homoclinic orbit or heteroclinic orbit and its melinkov function , the critical value when periodical m point appears , the critical value when smale horseshoes chaos appears , etc .
文中的各个结果均以具体的解析形式给出，其中包括同宿轨道或异宿轨道的解析表达式及其melnikov函数；同(异)宿轨道内围绕中心型奇点的周期轨道的解析表达式及其melnikov函数；出现周期m点的临界值；出现smale马蹄混沌的临界值等。