1) local asymptotic stability
局部渐近稳定
1.
It is proved for this system that local asymptotic stability of the positive equilibrium implies the global asymptotic stability.
研究了具循环系数的竞争ｎ种群Ｖｏｌｔｅｒａ系统解的性质，证明了正平衡点的局部渐近稳定性蕴含着全局渐近稳定性；在一定条件下还讨论了解的渐近性
2.
The global existence-uniqueness of solutions is obtained and the easy verifiable sufficient conditions for local asymptotic stability of a non-trivial steady-state solutions are given.
获得了解的整体存在惟一性,并给出了非平凡平衡解局部渐近稳定性易验证的充分条件。
3.
The local asymptotic stability of the 3D nonlinear analytic dynamic equation was studied,which is formulated as Z·=f(Z),f(0)=0,Df(0)=A,in the critical case of σ(A)={±ω·i,0},ω>0.
i,0},ω>0的局部渐近稳定性。
2) locally asymptotic stability
局部渐近稳定
1.
The Sufficient and Necessary Conditions of the Locally Asymptotic Stability and the Sufficient Conditions of the Global Asymptotic Stability of the 3-Dimenensional Competitive System;
一类生态方程局部渐近稳定的充要条件和全局渐近稳定的充分条件
2.
The locally asymptotic stability of a 2-dimension nonlinear analytic dynamic system with a pair of conjugated imaginary eigenvalues is studied.
考察具有一对共轭纯虚数特征值的二维非线性临界解析动态系统的局部渐近稳定性。
3) Locally asymptotically stable
局部渐近稳定
1.
And we study the boundedness of solutions and the existence of the equilibria,obtain the sufficient conditions of locally asymptotically stable of the equilibria by the Routh-Hurwitz criterion,analyze the global stability of the equilibria by construc.
分析并建立疾病在食饵中传播的生态-传染病模型,且考虑易感食饵具有常数输入,捕食者种群以Logistic模型增长,讨论了系统解的有界性和各平衡点的存在性,以及局部渐近稳定性,通过构造适当的Lyapunov函数分析了各平衡点的全局渐近稳定性,并运用比较定理证明了系统的持久性。
4) local asymptotic stability
局部渐近稳定性
1.
This paper discusses the equilibrium points of a class of improved signal range cellular neural networks described by invariant cloning templates and studies the existence,number and local asymptotic stability of equilibrium points in each saturation region by constructing the suitable iterative mapping according to the invariability of state feedback template and delay feedback template.
根据模型中状态反馈模块和时滞反馈模块的不变性特点,通过构造合适的迭代映射,研究了饱和区域内平衡点的存在性、个数以及局部渐近稳定性。
6) Locally/globally asymptotically stable
局部/全局渐近稳定性
补充资料：渐近稳定解
渐近稳定解
asymptotically - stable solution
渐近稳定解[asymp咖回ly一stable sduti佣;~"ror卜，ee姗ycro曲，栅e peoe“。el 一个微分方程组的解，它在月刃乃旧oB意义下是稳定的(见加.lyl舰旧稳定性(Lyapunov stability))，并且吸引具有足够接近的初始值的一切其他解.例如，考虑方程组 卒二f(r.，、‘。 a了J、右边的函数f(:，考)对于一切:):，考任R”有定义，并使得方程组(*)的解存在而且是唯一的.这时，方程组(*)的解 x(;，乱)，x(:，乱)=老。是渐近稳定解，如果这个解同一切与其足够接近的解 x(:，句，}若一蜀}
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条