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cell mapping
相关语句
  胞映射
    A Method of Alter Poincare Cell Mapping for Global Analysis of Nonlinear Dynamical System and the Stability of Rotor/Bearing System
    非线性动力系统全局分析的变胞胞映射法与转子/轴承系统的全局稳定性
短句来源
    Cell Mapping Point Mapping Method and Its Application for Dynamic System
    动力系统的胞映射-点映射法及应用
短句来源
    Point Mapping—Cell Mapping Synthesis Method for Dynamic System
    动力系统的点映射—胞映射综合法
短句来源
    The Poincare Like Cell Mapping Method of Nonlinear Periodic Nonautonomous Systems and Its Application
    非线性周期非自治系统的 Poincare 型胞映射方法及其应用
短句来源
    POINCARE-LIKE CELL MAPPING METHOD AND ITS APPLICATION
    Poincare型胞映射分析方法及其应用
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  cell mapping
The cell mapping method is applied with this coupled system.
      
An atmosphere-land coupled simple climate model is constructed and its climatic properties are analyzed by introducing a global analysis method, cell mapping.
      
Generalized cell mapping, a global analysis method, is introduced to describe the global long-term behavior of the chaotic climate system, and to predict its global probability evolution.
      
This technique overcomes the problem of determining an appropriate duration of the integration time for the simple cell mapping method and provides a suitable mapping for the search procedures.
      
Second, adjoining cell mapping (ACM), based on an adaptive time of integration (Refs.
      
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A dynamical system with piecewise linear character under sinusoidal excitation has been studied in general meaning and the bi-linear system is studied as its example in numerical calculations. With the help of cell mapping, global analysis for such system has been carried out. Bifurcation procedure is followed with chaotic motions when the cross of stable and unstable manifolds occurs. Some numerical results are given for some interesting cases.

本文对一个一般的分段线性、受正弦激励的非线性振子进行研究。从一般情况出发,对双线性的情形作了详细的讨论。通过计算,发现了分叉及浑沌运动。利用胞变换法,文中还对一些参数情形作了整体分析,画出了吸引子的吸引区域。当外激频率增大时,不断的周期倍化分叉,最后导致浑沌。文中给出了一组特定的参数下的稳定与不稳定流形,并由此证实了Smale马蹄的存在,画出了相应参数下的浑沌图。本文还对不同参数作了讨论。

Based upon Poincare- Mapping and Cell -Mapping, a new numerical method called PCM(Poincare-Cell-Mapping) method for global stability analysis of higher order nonlinear dynamic sys-tems is presented in this paper. Compared with the Cell-Mapping method, the new method has appar-ent advantage in practice. In order to illustrate the effectivity of PCM method, the global stability ofbalanced rotor bearing system. which is a nonlinear dynamic system, is analyzed using PCM...

Based upon Poincare- Mapping and Cell -Mapping, a new numerical method called PCM(Poincare-Cell-Mapping) method for global stability analysis of higher order nonlinear dynamic sys-tems is presented in this paper. Compared with the Cell-Mapping method, the new method has appar-ent advantage in practice. In order to illustrate the effectivity of PCM method, the global stability ofbalanced rotor bearing system. which is a nonlinear dynamic system, is analyzed using PCM methodhere. All periodic solutions and their domains of attraction, which exist in the definite state space , aregiven at the sametime.

本文将Poincare映射的思想与胞映射法相结合,提出了可用于高维非线性动力系统全局稳定性分析的新型数值方法:PCM(Poincare-Cell-Mapping)法,和胞映射法相比,新方法在实用上具有明显的优点。为说明PCM法的有效性,本文应用此方法对平衡转子轴承非线性动力系统进行了全局稳定性分析,同时给出了一确定状态空间中存在的所有周期解及其吸引域。

Based upon the theories of the Poincare Mapping and the Cell to Cell Mapping, a new method called APCM for global analysis of multidimensional nonlinear dynamical system is presented in this paper. It is more justifiable than primary Cell to Cell Mapping for the distribution of cells in the Cell Space and the logicality of algorithm, and more suitable for the problem of the nonlinear dynamical system which has large analyzed domain. Using the method,...

Based upon the theories of the Poincare Mapping and the Cell to Cell Mapping, a new method called APCM for global analysis of multidimensional nonlinear dynamical system is presented in this paper. It is more justifiable than primary Cell to Cell Mapping for the distribution of cells in the Cell Space and the logicality of algorithm, and more suitable for the problem of the nonlinear dynamical system which has large analyzed domain. Using the method, the global stability of balanced `Jeffcot' rotor/bearing system which has nonlinear oil force is analyzed, and we obtained the pictures of their domain of the attraction, and explained some nonlinear phenomena usually happened in engineering.

在Poincaré映射及胞映射理论的基础上,提出了一种非线性动力系统全局分析的新方法——变胞胞映射法(APCM法),这种新方法改变了原胞映射法中胞在胞空间分布的不合理性及运算逻辑的不合理性,更适用于高维、大求解域非线性动力系统的求解。应用此方法,对具有非线性油膜力的Jefcot转子轴承系统进行了全局分析,绘制了系统分岔后的全局吸引域图,解释了一些工程中常见的非线性现象

 
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