本文研究分支理论在具有时滞的微分动力系统上的应用。
This paper considered the applications of the bifurcation theories in delayed dynamical systems.
计算结果表明，该方法对高维微分动力系统中的混沌控制是有效的。
The numerical calculation shows that it is effective to use the method in the control of a high dimensional differential dynamical system.
今天的动力系统大致可分为微分动力系统、拓扑动力系统、无穷维动力系统、复动力系统、遍历论等方向。
Roughly speaking, dynamical systems consist of differential dynamical system, topological dynamical system, infinite dimensional dynamical system, complex dynamical system and ergodic theory etc.
把对有限维离散化系统混沌控制的方法应用于高维微分动力系统，讨论了双光子光学双稳系统中的混沌控制。
Applying the method of controlling chaos presented by documents to a high dimensional differential dynamical system, the control of two photon optical bistable system's chaos is discussed.
本文应用微分方程的定性方法，给出具有间隙动力系统产生自激振动的一个充分条件。
In this paper, the sufficient condition for self-excited oscillation of dynamic systems with gap is given by using qualitative method of differential equations.
对迭代动力系统的研究必然涉及迭代泛函微分方程问题。
The study of iterative dynamical systems involves iterative functional differential equations.
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.
为了研究混沌运动，对一类非线性动力系统的自由振动方程进行了求解，继之给出了单层扁锥面网壳非线性自由振动微分方程的准确解。
In order to study chaos movement, Accurate solution of non-linear free vibration differential equation is by solving a kind of free vibration equation of non-linear dynamics system.
研究方向包括时滞微分方程和反应扩散方程理论及其在神经网络和生物动力系统方面的应用。
My current research interests include theory of delay differential equations and reaction-diffusion equations and also their application to neural networks and biological dynamic systems.
动力系统的许多问题都可以化为迭代泛函微分方程。
Many problems of dynamical systems can be reduced to an iterative functional differential equation.
动力系统的许多问题都可以化为迭代泛函微分方程。
Many problems of dynamical systems can be reduced to an iterative functional differential equation.
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