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非光滑系统
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  “非光滑系统”译为未确定词的双语例句
     Matrosov Stability Theorems for a Class of Nonautonomous and Nonsmooth Switched System
     非自治非光滑系统的Matrosov稳定性定理
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     In view of the characteristics of non-smooth dynamical systems,the pullback integral method is introduced into the impact process based on the cell-mapping method. The method for calculating the attractors and domains of attraction of non-smooth dynamical systems is investigated.
     针对非光滑动力学系统特点,在胞映射思想基础上,引入拉回积分等分析手段,得到了非光滑系统吸引子和吸引域的胞映射计算方法.
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  相似匹配句对
     (5) nonsmooth analysis;
     (5)光滑分析法;
短句来源
     BIOTIC NONSMOOTHNESS AND ITS APPLICATIONS
     生物光滑及其应用
     PERFORMANCE OPTIMIZATION OF DISCRETE EVENT DYNAMIC SYSTEMS VIA NONSMOOTH OPTIMIZATION
     离散事件动态系统性能优化的光滑分析方法
短句来源
     Discrete Models on stochastic non-smooth mechanical Systems
     随机光滑力学系统离散模型的建立
     A NON-SMOOTH ANALYSIS TO THE RUBIMPACTING ROTOR SYSTEM
     碰摩转子系统光滑分析
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In this paper,the method for calculating the spectrum of Lyapunov exponents of non-smoothnonlinear dynamical systems is investigated.Due to the non-smoothness in the contacting process of thephase trajectories and the constraint surface,the Jacobian matrix of non-smooth systems does not exist at thesingular points,so the method for calculating the spectrum of Lyapunov exponents of smooth systems can notbe applied to non-smooth systems directly.A key idea to solve this problem is to introduce the local inapsbetween...

In this paper,the method for calculating the spectrum of Lyapunov exponents of non-smoothnonlinear dynamical systems is investigated.Due to the non-smoothness in the contacting process of thephase trajectories and the constraint surface,the Jacobian matrix of non-smooth systems does not exist at thesingular points,so the method for calculating the spectrum of Lyapunov exponents of smooth systems can notbe applied to non-smooth systems directly.A key idea to solve this problem is to introduce the local inapsbetween different stages of niotion in the impact process.The Poincaré map of n-dimensional dynamical systemswith rigid constraints is constructed by using the local map method,and the semi-analytic formula of Jacobianmatrix is obtained.Then a novel calculation method of the spectrum of Lyapunov exponents is presented forn-dimensional non-smooth nonlinear dynamical systems with rigid constraints.Moreover,the same problem forn-dimensional dynamical systems with flexible constraints(piecewise-smooth systems)is also investigated.At last,the phase portraits of periodic and chaotic attractors for a given nonlinear dynamical system withrigid constraints are given along with the corresponding convergence diagrams of the spectrum of Lyapunovexponents.The spectrum of Lyapunov exponents in a large range of parameters is calculated for the abovesystem.The results are compared with the bifurcation diagrams obtained by the Poinearé map method in orderto show the validity of the methods given in this paper.

对 n 维非光滑(刚性约束和分段光滑)动力系统引进局部映射,利用 Poincaré映射分析方法得出了非光滑系统 Lyapunov 指数谱的通用计算方法.以一类刚性约束的非线性动力系统为例,给出了 Lyapunov 指数谱随参数大范围变化的规律,并与相应的 Poincaré映射分岔图进行对照,验证了上述通用计算方法的正确性和有效性.

The conditions of constraint are treated by means of the mean constraint plane and the mean jump equation,in which the method of the Chebyshev polynomial approximation,previously used to explore period-doubling bifurcation of stochastic smooth systems,is applied to stochastic non-smooth systems.Numerical simulations show that period-doubling bifurcation exists in stochastic Duffing one-sided constraint system just as in smooth stochastic Duffing system,and furthermore,the Chebyshev polynomial approximation is...

The conditions of constraint are treated by means of the mean constraint plane and the mean jump equation,in which the method of the Chebyshev polynomial approximation,previously used to explore period-doubling bifurcation of stochastic smooth systems,is applied to stochastic non-smooth systems.Numerical simulations show that period-doubling bifurcation exists in stochastic Duffing one-sided constraint system just as in smooth stochastic Duffing system,and furthermore,the Chebyshev polynomial approximation is an effective method in exploring the dynamical behavior of stochastic non-smooth system.

通过引进平均约束面和平均跃变方程对随机约束系统的约束条件进行处理,把研究随机光滑系统倍周期分岔的Chebyshev多项式逼近的方法运用到随机非光滑系统中,数值研究表明随机Duffing单边约束系统同样存在丰富的倍周期分岔现象,Chebyshev多项式逼近是研究带有约束的随机非光滑动力系统的有效方法.

This paper deals with the Matrosov stability theory for a class of nonautonomous and nonsmooth switched systems. Furthermore, a stability result on nonsmooth system in related paper is revised as a corollary. Finally the results have been applied to the tracking problem of a class of mechanical systems with dis-continuous friction term.

本文在一般Filippov解意义下研究了一类非自治非光滑切换系统的Matrosov稳定性定理,并作为推论,修正了相关文献中关于非光滑系统稳定性的一个结果,最后给出了在一类带有不连续摩擦项的力学系统的跟踪问题中的应用.

 
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