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1)  strongly nonlinear quasiconservative autonomous system
强非线性拟保守自治系统
2)  nonlinear conservative system
非线性保守系统
1.
A calculation for period of a single freedom nonlinear conservative system;
单自由度非线性保守系统作大振幅振动时周期的计算方法
3)  strongly nonlinear autonomous system
强非线性自治系统
1.
An expansion frequency method for strongly nonlinear autonomous systems is given.
给出强非线性自治系统周期振动的频率展开法。
4)  Non-linear self-consistent system
非线性自治系统
1.
Qualitative analysis of the first class non-linear self-consistent system;
一类非线性自治系统的定性分析
5)  nonautonomous linear system
非自治线性系统
1.
To study the exponential stability for nonautonomous linear system with time-varying delays,this paper applies the methods of the Lyapunov-Krasovskii function and some analysis,to give sufficient conditions for the exponential stability of nonautonomous linear system by using linear matrix inequalities and the solution of Riccati differential equations.
为探讨一类具时滞非自治线性系统指数的稳定性及其实用性,本文利用Lyapunov函数方法和线性矩阵不等式及Riccati微分方程解的性质等,给出了这类线性系统指数稳定性的充分条件,这些充分条件可用线性矩阵不等式表示,且表达式中含有时滞项。
6)  strongly non-linear autonomous systems with multi-degrees of freedom
强非线性多自由度自治系统
1.
The internal resonance of strongly non-linear autonomous systems with multi-degrees of freedom was analyzed on the basis of modifying the KBM method,and the amplitude of limit cycles and the approximate solution were obtained.
基于改进的KBM法,研究了强非线性多自由度自治系统的内共振。
补充资料:非线性最小二乘拟合
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性质:用最小二乘法拟合非线性方程。有些变量之间的非线性模型,通过变量变换可以化为线性模型,此称为外在线性。而有些变量之间的非线性模型,通过变量变换不能化为线性模型,通称为内在非线性。对于非线性模型y=f(ξ,θ)+ε,其残差平方和。S(θ)是θ的函数,当模型关于θ是非线性的,正规方程关于θ也是非线性的。基于使残差平方和s(θ)达到极小的原理求出θ的估计值,拟合非线性回归方程。

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