线性动力学 meaning in English
linear dynamics
Examples
- The generation , control , and synchronization of hyperchaos are one of the most important problems in the field of nonlinear dynamics
超混沌产生、控制和同步是非线性动力学的重要前沿课题之一。 - A new approach , which is direct integration method with integral model ( dim - im ) to solve dynamic governing equations , is developed
借助分块积分的概念，得到了一个求解线性动力学方程的积分型(相对于差分而言)直接积分法。 - Stochastic resonance ( sr ) is a counterintuitive phenomenon of nonlinear dynamic systems wherein the noise ( stochastic force ) plays a constructive role . this phenomenon has then attracted much attention in the past two decades , and it has been observed that sr can occur in a wide variety of systems
随机共振现象是非线性动力学系统中的一种反直观的现象，当一个非线性动力学系统受到一个随机力(噪声)的激励，也就是系统输入具有一个连续的频谱，系统和输入的随机激励之间会产生一种协同作用，使得系统输出的性能有所提高，这一现象被称为随机共振。 - The ultimate carrying capacity , fracture process and stress - strain relationship on rock generic material are studied with dissipation structure theory in this paper , which shows the essence of mechanical characteristics on rock generic material can be studied deeply from the point of view of system and energy
研究结果表明岩石类材料变形系统具有耗散结构的特性，岩石受力产生变形是非线性动力学过程，即系统内部各要素之间发生协调和相干效应，岩石承载力（强度）是外界做功功率和岩石自身耗散能率达到平衡的外在力学表现。 - A new step - by - step integral procedure of dynamics equations is presented . the general expression of the solution of dynamics equations is obtained on the basis of the homogenous analytical solutions of dynamics equations and duhamel integration . the explicit analytical integration algorithm , which is characterized by fourth - order accuracy , self - starting and self - correcting , is employed to discretize the equivalent load terms
另外提出了求解动力学方程的一个新型的逐步积分法，基于线性动力学方程的解析齐次解及duhamel积分，构造出适用于非线性动力学方程解的一般积分表达式，对包含非线性项的非齐次项采用插值近似的方法，得到一个单步显式、自起步、预测校正具有四阶精度的解析逐步积分算法。