定态解

并且系统分析研究了外控组分的非理想性对系统的多定态解的分支与稳定性的影响，通过详细椎导与推敲边界条件，结果发现了多定态解值域的分离等现象。

As we comprehensively study the influence of nonideality of externally controlled components on bifurcation and stability of multiple steady state solutions , the separation of multiple state solutions ' region are fond through analyzing boundary condition and activity condition .

本文利用奇异理论和突变理论，分析了单颗粒催化剂上n级不可逆放热反应体系多定态解的结构。

By using the singularity theory and catastrophe theory , the multiple steady state structure of n or - der irreversible reaction which takes place on a single catalytic pellet was analysed .

我们把边值条件联系到定态解U（x）上。

We attach the boundary conditions to the steady-state solution U ( x ) .

湍流粒子的速度及其F-P方程的定态解

Velocity of the Particle of Turbulent Flow and the Stationary Solution of Fokker & Plank Equation

强磁场下的输运过程与Liouville方程的两种定态解

Transport process under strong magnetic field and two stationary solutions of the Liouville equation

用热力学极限下master方程的定态解定义了非平衡系统的势函数，证明在平衡态时，这个势函数归为熵，在线性非平衡区它等效于超熵。

A nonequilibrium potential is defined in terms of the stationary solution of master equations in thermodynamic limit . In statistical equilibrium , this potential is reduced to entropy while in linear nonequilibrium region to ex - cess entropy .

核裂变扩散模型Kramers定态解的理论分析

On Theoretical Analysis of Kramers ' Stationary Solution in the Diffusion Model of Fission

在本文我们将用拓扑熵来研究细胞非线性网络的动力学性质，特别是由CNN的定态解诱导出的迭代映射的动力学性质。

In this paper , topologic entropy will be employed to study the dynamical behavior of one-dimensional CNN , especially , the iteration map of stationary solution of CNN .

复杂网络的Fokker-Plank方程及其定态解

The Complex Network Fokker-Plank Equation and its stationary solutions

对交换反应动力学方程的线性稳定性分析可以证明其热力学定态解是不稳定的，从而表明REE的成矿作用是一种不平衡过程。

The stability analysis for kinetic equations of exchange reaction after linearization proves that its thermodynamical steady-state solution is not stable . It can therefore be concluded that the REE metallogenesis is caused by a nonequilibrium process .

当t→∞时，所得的非定态解趋于Fokker-Planck方程的定态解，解决了标度区分布函数在稳定点发散的问题，避免了标度区和最终时区对接的困难。

As t →∞ the time dependent solution approaches the stationary solution of the Fokker-Planck equation . The difficulty of matching the last two time regions in the scaling theory is then avoided .

通过可积系统的AKNS系统和引入波函数，我们提出了一种从发展方程的已知定态解求新的精确解的方法。

By the AKNS system and introducing the wave function for the integrable equations , a method to find new exact solutions from known stationary solutions of the evolution equations is proposed .

当体系的schrǒdinger方程只有连续定态解时，在任一态上求任何力学量的期待值都将得到零或无穷大，本文建立了连续谱体系的双波函数量子论。

When the schr ( o | ¨) dinger equation of a system has only the solutions of continuous stationary states , either zero or infinity expectation value can be obtained for an arbitrary observable in any stationary state .

本文讨论带扩散问题与疟疾病与疟蚊的Ross-Macdonald模型的非负定态解及其稳定性。

In this paper , the author discusses the non-negative steady-state solutions for the Ross-Macdonald model of malaria-malaria mosquito with diffusion and their stability .

其标度律和定态解也完全不同。

And the scalling law and steady solution are different completely .

简谐势阱中中性原子非线性薛定谔方程的定态解

Stationary solutions of the nonlinear Schrdinger equation for neutral atoms

一类捕食系统的非负定态解及其稳定性

The Nonnegative Steady-State Solution and Stability of a Predator-Prey System

疟疾病与疟蚊数学模型的非负定态解

The Non-Negative Steady-State Solutions for the Malaria-Malaria Mosquito Model

因此，这体系有三种定态解。

Therefore , there are three kinds of stationary solutions for the system .

用线性稳定性定理分析了相对粒子数布居的定态解的稳定性。

The stabilities of the steady-state solutions are analyzed with linear stability theorem .

夸克禁闭弦的定态解

On the stationary solutions of quark confinement strings

推导了转换的概率流方程并给出了其定态解。

The commutative equation of probability flow is deduced and its definite solution is given .

同时进一步得到了其定态解诱导出的迭代映射的拓扑熵为2维的阶梯函数，这是一个真正意义上的空间魔鬼阶梯函数。

Moreover , the spatial entropy function of the map is two-dimensional and can be obtained explicitly as a space devil-staircase .

通过讨论定态解的分布和分岔点，并利用数值模拟方法详细地分析了一个大小结构的自相食种群模型的解的渐近性质；

The asymptotical behavior of the solution of the size-structured population model with cannibalism is discussed by analyzing the bifurcation diagram of its equilibria and by using numerical simulation .

详细回顾并探讨了中间组分的非理性对分支与稳定性的影响。通过分析多重解边界曲线与活度极限曲线，发现在此种情形下是以多定态解的分离和消失现象为主要特征的。

Secondly when we carefully retrospect and discuss the influence of intermediate component on bifurcation and stability of multiple steady state solutions , we can find that the divergence and disappearance of multiple solutions .

针对其中最简单的两激光系统，导出了描述它的方程组，解析求解了它们具有相同自由振荡频率时的定态解。

Equations are derived for the simplest system which is composed of two lasers only , and the locked steady-state analytical solutions are obtained for the simplest case in which the two lasers have the same free-running frequency without locking .

应用分歧理论讨论带反应扩散项的SIR传染病模型的定态分歧解的存在唯一性、稳定性和全局分歧性态。

The solution of steady-state bifurcation and its stability of SIR epidemic models with reaction-diffusion term are discussed .

Burgers方程定态激波解的格子Boltzmann方法模拟

Simulation of Burgers equation steady state shock wave by the lattice-Boltzmann method

二维爆轰波DSD方法的非定态解析解

Analytical solution for unsteady two-dimensional detonation wave with DSD method

利用Liapunov－schmidt约化方法，我们证明了关于x为2π／k1周期的定态分歧解的存在性。

By using the Liapunov-schmidt reduction methods we prove the existence of the steady-state bifurcation solutions which are 2 π / k_1-periodic in x.