这幅图片展示了曼德尔勃特集合(Mandelbrotset)与离散混沌动力系统(logistic map)之间的一致性，这解释了复杂而无序的行为可以由简单的非线性动态方程序中得出。
This graph shows correspondence between the Mandelbrot set and the logistic map, which explains how complex, chaotic behavior can arise from simple non-linear dynamical equations.
建立一种心血管循环系统的计算机仿真模型，即描述心血管循环系统内血流动力学变量变化规律的状态方程。
This paper presents a computer simulation model of the cardiovascular circulation system, which describes the blood flow dynamic law in the cardiovascular system by the state equation.
以斜支承弹簧系统为研究对象，建立了矩形脉冲激励下系统非线性动力学方程。
The nonlinear dynamical equations of inclined support spring system were obtained under the excitation of rectangular pulse.
同时又分别以连续和间歇发酵非线性动力系统为状态方程，建立了两个非线性最优控制模型。
At the same time, two other optimal control models are formed taking nonlinear dynamic system in continuous and batch culture as state equations separately.
利用通路矢量和增广体概念导出系统的动力学普遍方程。
The general dynamical equations of the system are derived using the concepts of path vectors and augmented bodies.
为了讨论混沌运动，对一类非线性动力系统的自由振动方程进行了求解。
A kind of free vibration equation of the nonlinear dynamical system is solved to study chaotic movement.
差分型直接积分法求解动力方程，其计算假设条件给系统增加了一个“计算扰动”效应。
The difference type direction integration is used for solving dynamic - equation, its calculation assumption causes a "calculation perturbation" effects to the system.
建立的尾流再附动力学模型包括：伞系统运动方程、尾流运动方程、伞衣-尾流动量交换方程。
The model includes three parts: equations of the motion for the parachute-store system, equations of the motion for the wake, equations of the momentum transfer between parachute and wake.
根据系统变化的规律可分为由微分方程描述的连续动力系统和由映射迭代揭示的离散动力系统。
Usually there are two basic forms of dynamical systems: continuous dynamical systems described by differential equations and discrete dynamical systems described by iteration of mappings.
然后针对水下航行器制导系统多任务特点，讨论了水下航行器制导系统的动力学、运动学模型及控制、导引方程，并对其任务进行详细划分。
The dynamic and kinematic model, control and guidance equations of underwater vehicle are discussed, which tasks are divided in details, according to it's characteristics.
文中阐述了动力学方程的建立和求解、系统输入特性和瞬态角频、振幅响应分析等问题。
The creation and solution of dynamic equations and problems concerning input characteristics, transient angular frequency and analysis of amplitude response are described.
本文给出了线性化的系统动力学方程的数值解法及算例。
The paper gives the numerical solution of the linearized equations of the system.
建立了这类系统的动力学模型，包括考虑附加质量的一般刚体动力学方程和基于“平衡点”假设的吊挂系统建模方法。
The model is comprised of the general rigid-body equations considering apparent mass and the modeling method of suspension system based on the assumption of "equilibrium points".
建立了具有时变啮合刚度的二级齿轮系统的动力学方程式。
The governing equation of a gear system with time-varying meshing stiffness is established.
应用改进后得到的数值传递函数方法对方程求解，就可以得到系统的动力、静力响应。
The equations are solved by the numerical SDTFM, and the static and dynamic responds of the plane are given.
利用增益系数推导激光系统的动力学方程。
Using gain coefficient to derive the dynamic equations of laser systems.
目的用激光连续方程研究激光系统的动力学行为。
Aim To study dynamical character of system using continuity equation of laser.
利用完全笛卡尔坐标描述多刚体系统，建立多刚体系统动力学微分-代数方程。
Based on the fully Cartesian coordinates, a differential/algebraic equation system of multibod.
关于动力学方程式的求解结果可用于从理论上阐明草原上二级系统处于稳定状态下的局部动力学行为和可能出现的变化过程。
The computed result can be applied to the theoretical explanation of a partial dynamic action under the stable and the possible changing process.
刚柔耦合多体机械系统动力学微分方程组具有刚性和高频振荡的特点。
The dynamical equations of rigid flexible coupling multibody systems have characters of stiffness and high frequency oscillation.
由于齿轮副啮合刚度的影响，动力学方程序代表了一个具有时变系数的线性动力系统。
Because of the meshing stiffness of a gear pair, the governing equation denotes a linear dynamic system with periodic time-varying coefficient.
本文基于Gear方法对齿轮系统非线性动力学微分方程进行了数值计算分析。
Based on gear method, this paper presents the numerical calculation method for solving dynamics differential equations of gear systems.
本文用传递矩阵的方法建立了描述往复泵—管路液力系统流体动力特性方程，井导出了各子系统的传递矩阵。
This paper establishes a fluid dynamic equation for a reciprocating pump-piping hydraulic system with the transfer matrix method and deduces all the transfer matrixes of the subsystems.
采用复变函数将系统的动力学方程简化，利用谐波平衡法分析了系统的稳态解，得到了系统的幅频响应。
The stationary solution of system was solved by harmonic balance method, and the amplitude-frequency response was presented.
以一种新的方法建立了在微重力环境、横向激励下圆柱贮箱液固耦合系统的动力学方程。
The dynamic equations for the coupling system of cylindrical tank partially filled with liquid are established under horizontal excitation in micro-gravity environment.
在本文的第二章，我们利用第二类拉格朗日方程推导了自由漂浮平面双臂空间机器人系统的动力学方程。
In the second chapter, the dynamics of free-floating space robot system with dual-arm is established by use of the Lagrange's equation.
方法采用匹配设计方法，通过匹配条件，使开环系统与闭环系统的动力学方程匹配。
By the matching design method, the dynamical equations of dosed loop system can match those of the open loop system.
建立了两个航天器对接系统的约束动力学方程。
The constrained dynamics equation for two spacecraft docking system is established.
在求解动力学系统的方程中，动力学系统的第一积分与积分不变量是求解运动方程积分理论的重要内容之一。
The first integration and integrated invariant of dynamic system belongs to important contents of solving equations of motion integrated theory during solving equations in dynamic system.
该文提出了一种求解刚柔耦合系统动力学方程的迭代法。
In this paper, an iteration method is presented for solving the dynamic equations of rigid flexible coupling system.
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