惯性流 meaning in English
inertia flow
inertial currents
inertial flow
Examples
- Wavelet approximate inertial manifold and numerical solution of burgers ' equation
方程的小波近似惯性流形及数值分析 - Solving approximate inertial manifolds equations for the flow and magnetic field within the earth by successive approximation method
地磁流体方程的近似惯性流形的逐次逼近求解 - In this paper , the second chapter introduces the reducing idea of inertial manifolds and approximate inertial manifolds , and discuss th e similarity reduction of ks equation . the third chapter introduces the basical idea and theory of the exact linearization controlling , then use this methods to control chaos of an ordinary differential system chen equation and apply the exact linearization controlling method to control the chaotic behaviours , i . e . controlling the chaotic states to steady states
本文第二章介绍了无穷维动力系统的惯性流形与近似惯性流形的约化思想，并讨论了ks方程的直接约化方法。第三章介绍了精确线性化控制方法的基本思想和理论根据，并应用精确线性化控制方法对具有典型混沌动力学行为和性质的一个常微分系统chen方程进行混沌控制，将chen方程的混沌状态控制为稳定状态。 - The fourth chapter applies the exact linearization controlling method to control the approximate inertial manifolds of a partial differential system ks equation . this method can control the chaotic states into steady states and also can control the steady states into circle solutions . the chen equation and ks equation both have typical dynamical behavior and dynamical character
第四章中应用精确线性化控制方法对无穷维动力系统ks方程的近似惯性流形进行混沌控制，可以将传统近似惯性流形下的混沌状态控制为稳定状态，也可以将稳定近似惯性流形下的稳定状态控制为周期解。 - In capter 2 , it is proved that the system possesses a global attractor and a two - side estimate for the fractal dimension of it is presented . in capter 3 , several different approximate intertial manifolds of the system are constructed by applying linear galerkin method , method of projecting operator and operator eigenvalue and successive iterative method , and it is proved that arbitary trajectory of the system enters into a small neighbourhood of the global attractor after large time . capter 4 studies the asymptotic attractor of the system by constructing a solution sequence which approaches to the global attractor of the equation in long time , and the dimentional estimate of the asymptotic attractor is given
第二章证明了该系统的整体吸引子的存在性,给出了其分形维数的上下界;第三章利用线性galerkin方法、算子投射和算子特征值方法及逐次迭代方法构造了几类近似惯性流形,证明了该方程的任意解轨道在长时间后进入整体吸引子的任意小邻域;第四章构造了一个有限维解序列即该系统的渐近吸引子,证明了它在长时间后无限趋于方程的整体吸引子,并给出了渐近吸引子的维数估计