指数方程

When the modified system collapses to a stable equilibrium or periodic oscillation, the existence of generalized synchronization can be converted to the problem of compression fixed point under certain conditions. Strict theoretical proofs are given to the exponential attractive property of generalized synchronization manifold.

即在响应系统的修正方程在具有渐近稳定平衡点或渐近稳定周期轨道的情况下，满足一定的条件，可将广义同步化流形存在性问题转化为Lipschitz函数族的压缩不动点问题，理论上严格证明了该广义同步化流形的指数吸引性。

Based this better correlation and using the multiple regression method, we reconstructed the historical spring and summer flood/drought index from 1835 to 1996. The reconstructed series shows obvious decadal variability, and thus provides a reliable reference for the local climatic change study.

根据此显著相关性，利用多元回归方程重建了历史时期的春夏季旱涝指数，分析表明天目山地区春夏季旱涝的发生具有比较明显的年代际变化特征，为研究该地区气候变化特征提供了较可靠的参考依据。

By employing the transformations of variables and functions, the exact bright soliton solution on a continuous-wave background is obtained in quadratures, and is discussed in detail. From the behavior of the exact solution in exponential control fiber system, the conclusion can be obtained that soliton in a proper fiber system can be compressed or broadened.

通过变量和函数变换得到方程的精确解为连续波背景下的亮孤子解，并对精确解在不同情况下的具体行为作了详细讨论，以指数分布控制系统为例说明：当选择适当的光纤控制参数时，孤子可以被压缩/展宽。

Using tools from dynamical system theory, such as phase space diagrams, Frequency analysis, Poincare sections and the calculation of statistical quantity of chaos: the correlation dimension, Reni entropy, Laypunov exponent and so on, the different solutions to the Navier-Stokes equations at different values of the Reynolds number have been identified and characterized through reconstructing the phase space of velocity time series by means of time delay and dimension embeding.

通过时间延迟和维数的嵌入对速度时间序列重构相空间，利用非线性动力系统理论方法诸如相空间分析，频谱分析，Poincare映射，以及通过对混沌统计量：关联维数，Reni熵，Laypunov指数等计算，对不同雷诺数N-S方程解的特征作了分辨。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。