| 1. | 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。 |
| 2. | The specific route of the system going into smale horse - hoof chaos through subharmonic bifurcation is discussed
讨论了系统经过次谐分叉进入smale马蹄混沌的具体途径。 |
| 3. | P & g has always been a pioneer in human resources management , and john smale is continuing the tradition
宝洁公司在人力资源管理方面一直居于领先的地位，而约翰?斯梅尔则延续了这一传统。 |
| 4. | 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。 |
| 5. | At this time , the criterion concerning the smale horse - hoes chaos of equation ( 1 ) and its related problems are basically solved in this paper
至此，本文基本解诀了方程门）的关于smale马蹄混炖的判别及相关问题。 |
| 6. | A new smoothing newton algorithm for sloving box constrained variational inequality is proposed by using chen - harker - kanzow - smale smoothing function
利用chen - harker - kanzow - smale光滑函数提出了一种解箱约束变分不等式的光滑牛顿法。 |
| 7. | 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。 |
| 8. | Third , by means of smale , s point estimates theorem , the existence and the convergence theorem of broyden , s iteration is given , the method has less calculation and the speed of super linear convergence for solving the nonlinear equations with nondifferential terms under the point estimates or weak condition
第三，本文利用smale提出的点估计理论,给出了在点估计和弱条件下,用计算量小、具有超线性收敛速度的broyden方法来求解带不可微项的非线性方程，给出了存在性收敛性定理及相应的证明。 |
| 9. | 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。 |
| 10. | Firstly , some basic properties of the limit shadowing are given ; secondly , we give the characterization of both lin - ear automorphisms and linear flows on r ~ ( n ) with the limit shadowing property ; thirdly , as applications we prove that the hyperbolic endomorphisms on t ~ ( n ) have the limit shadowing properties , smale " horseshoes " have the same prop - erties on their invariant sets
首先，给出了极限跟踪性的一些基本性质；其次，得到了n维欧氏空间上线性自同构及线性流具有极限跟踪性的特征；最后，作为应用证明了双曲环面自同态以及smale “马蹄”在其不变集上具有极限跟踪性。 |
