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dynamical systems
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  动力系统
     Chaos Control and Synchronization in 2-D Discrete Dynamical Systems
     2-D离散动力系统混沌控制与同步
短句来源
     Use the bifurcation theory of dynamical systems to investigate nonlinear equation u t+a(1+bu 2)u 2u x+δu xxx =0 with a>0,δ>0 and b∈R. Parameter space is divided.
     用动力系统分支方法研究非线性方程ut+a( 1+bu2 )u2 ux +δuxxx =0   (a >0 ,δ>0 ,b∈R)给出了参数空间的划分 ;
短句来源
     Introduces the origine of the research on the chaotic theory,philosophical signification of the chaotic and historical condition of the research on the dynamical systems.
     本文讨论了混沌概念和混沌理论研究的历史渊源,混沌的哲学意义,以及在数学上与混沌相对应的动力系统的研究历史情况
短句来源
     Identification of Chaotic Dynamical Systems Based on RBF Neural Networks
     基于RBF网络的混沌动力系统辨识
短句来源
     We investigate the relationship between the chaoticity of some hyperspace set-valued discrete dynamical systems ( W_k ( X ), f ) ,(K_k( X ), f ), ( W_(kc)( X ), f ) and the chaoticity of linear dynamical system ( X ,f )on the Banach space X .
     讨论了可分Banach空间X上的线性动力系统( X ,f )和它的几种超空间集值动力系统(如( W_k ( X ), f ),( K_k( X ), f )(, W_(kc)( X ), f ))上的传递性,弱混合性之间的关系。
短句来源
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  动力学系统
     Special Methods for Pspice with Applications to Chaos Dynamical Systems
     应用PSpice模拟混沌动力学系统的方法
短句来源
     Euler-Lagrange Equation of Dynamical Systems at the Quantum Level
     动力学系统量子水平的Euler-Lagrange方程
短句来源
     Birkhoff's representation for relativistic Chaplygin dynamical systems
     相对论性Chaplygin动力学系统的Birkhoff表示
短句来源
     The Study on the Control of the Chaotic Nonlinear Dynamical Systems and the Chaotic Secure Communication Systems
     混沌非线性动力学系统的控制及混沌保密通信系统的研究
短句来源
     Research on Control Theory of Continuous-Time Chaotic Dynamical Systems
     连续混沌动力学系统的控制理论研究
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  动态系统
     Hybrid Dynamical Systems (HDS), also named Hybrid Systems, is constituted by Continuous Variable Dynamical Systems (CVDS) and Discrete Event Dynamical Systems (DEDS). Because most systems are not pure continuous and computers are used widely in practice, the running models of all control systems have changed.
     混合动态系统(Hybrid Dynamical Systems,简称HDS),也叫混杂系统,是由连续变量动态系统(Continuous Variable Dynamical Systems,简称CVDS)和离散事件动态系统(Discrete Event Dynamical Systems,简称DEDS)组成并相互作用而形成的系统。
短句来源
     Analysis and Control of Hybrid Dynamical Systems
     混杂动态系统的分析与控制
短句来源
     Macroscopic Information Entropy Analysis of Nonlinear Dynamical Systems
     非线性动态系统的宏观信息熵分析
短句来源
     Advance in Research on Fault Diagnosis in Hybrid Dynamical Systems
     混合动态系统故障诊断研究进展
短句来源
     Boundedness theorem of hybrid dynamical systems and applications
     混合动态系统有界性定理及应用
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  “dynamical systems”译为未确定词的双语例句
     SUPPLEMENT TO"PASSAGE,BLOCKADE,SINK AND SOURCE OF A PLANAR DYNAMICAL SYSTEMS
     SUPPLEMENT TO“PASSAGE,BLOCKADE,SINK AND SOURCE OF A PLANAR DYNAMICAL SYSTEMS”
短句来源
     Hamilton-Jacobi Method of Nonlinear Nonhololomic Dynamical Systems in Poincare-Chetaev Invariables
     Poincare-Chetaev变量下非线性非完整系统的Hamilton-Jacobi方法
短句来源
     H_∞ Control of Nonlinear Uncertain Dynamical Systems with State Delay
     非线性不确定动态时滞系统的鲁棒H_∞控制器的设计
短句来源
     Wu about 《Transportation cost-information inequalities and applications to random dynamical systems and diffusions》 [3], in which the authors obtained T_2-transportation inequalities with respect to L~2-metric for diffusions taking values from a finite dimensional space.
     Wu的文章《Transportation cost-information inequalities and applications to random dynamical systems and diffusions》[3]的基础上,将其作进一步的推广和改善所获得的。 [3]中研究了取值于有限维空间中的扩散过程的分布关于L~2-度量的T_2-不等式。
短句来源
     In this paper, we prove that for holonomic nonconservative dynamical systems the integral invariant of Poincare and Cartan and the universal integral invariant of Poincare do not exist.
     本文证明,完整非保守系统不存在 Poincare-Cartan 积分不变量和 Poincare 通用积分不变量。
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  dynamical systems
Deformation of Delone Dynamical Systems and Pure Point Diffraction
      
This article deals with certain dynamical systems built from point sets and, more
      
The results presented show triat the soliton phenomenon is characteristics associated with the nonlinearities of the dynamical systems.
      
The results presented show that the soliton phenomena are characteristics associated with the nonlinearities of the dynamical systems.
      
Cellular automata are the discrete dynamical systems of simple construction but with complex and varied behaviors.
      
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In tins note, we consider a dynamical system of the following type. The total Ilamiltonian H is separated into two parts H0 and V,H0 possesses the same continuous spectrum as that of H, but H possesses in addition a discrete spectrum corresponding to bound states. It is shown that the solution in the interaction representation of the time dependent Schiodinger equation with initial condition specified at t=±∞ is not unique. It contains an unique scattering-state part but an arbitrary bonud -state part....

In tins note, we consider a dynamical system of the following type. The total Ilamiltonian H is separated into two parts H0 and V,H0 possesses the same continuous spectrum as that of H, but H possesses in addition a discrete spectrum corresponding to bound states. It is shown that the solution in the interaction representation of the time dependent Schiodinger equation with initial condition specified at t=±∞ is not unique. It contains an unique scattering-state part but an arbitrary bonud -state part. The former part is a physical solution and can be obtained directly by operating U(t,±∞) on initial state ψ(±∞) where U(t,±∞) is defined as lim U(t,t0) (see reference [6]). This solution may be used as thestarting point of formal scattering theory. In addition we have discussed and clarified some points in the earlier works of Lippmann-Schwinger, Greater and Arnous-Zienau.

本文考虑了如下的力学系统:其总哈密顿量为H=H_o+V,其中,V为微扰算符,H_o只有连续谱,H除了与之相同的连续谱外,还有相应于束缚态的分立谱。文中证明:相互作用表示的薜定谔方程在无限时刻初条件下的解是不唯一的。但只有一个解是有物理意义的。这个解可以由U(t,±∞)算符作用于初态ψ(±∞)而直接得出,并可作为散射理论的出发点。 其次,借助以上的结果,对Lippmann-Schwinger,Coester以及Arnous-Zienau等人的工作进行了讨论,澄清了其中若干问题。

In this paper we consider only the dynamical systems on an orientable closed 2-manifold M, i.e.an additive one-parameter group of mapping f:(where t is a real parameter) of M onto itself, Only the dynamical limiting set on M is investigated. If the dynamical system defined on M has enumerable singular points, then the dynamical limiting set Ω will belong to one of the following cases: (i) Ω is a singular point; (ii) Ω is a closed characteristic; (iii)Ω is the limiting set of a sequence...

In this paper we consider only the dynamical systems on an orientable closed 2-manifold M, i.e.an additive one-parameter group of mapping f:(where t is a real parameter) of M onto itself, Only the dynamical limiting set on M is investigated. If the dynamical system defined on M has enumerable singular points, then the dynamical limiting set Ω will belong to one of the following cases: (i) Ω is a singular point; (ii) Ω is a closed characteristic; (iii)Ω is the limiting set of a sequence of boundaries of ring domains in a plane. (iv)Ω has non-dmerable characteristics, of which there are only enumerable characteristics whose dynamical limit is a singular point. For the last mentioned case,Ω is a quasi-minimum set. (The set m is called a quasi-minimum set if for any point q ∈ m (provided that such a point exists) Ωq or Aq has an ordinary point then m=f(q,I), where f (q, I) is the characteristic passing through the point q, and Ωq, Aq are the positive and the negative dynamical limicting sets of f (q, I) respectively.)

这篇文章讨论二维定向闭流形上动力极限集的结构,所得的结果,可简单地叙述如下: 设在二维定向闭流形M上定义了动力体系,p为M上任一点,过p的轨线记为γ(p),γ(p)的正的动力级限集记为Ωp,那末Ωp的结构如下: 1、或者Ωp为一奇异点, 2、或者Ωp为关闭特征曲线, 3、或者Ωp为平面上一列环状区域边界的极限,这时Ωp只有可列条轨线,其中任何轨线,它的两端注入奇异点。 4、或者Ωp含有不可列条轨线,其中只有可列条轨线,它的动力极限点为奇异点,这时Ωp为拟极小集,拟极小集的定义可参考本文§1。 5、对非定向二维闭流形上极限集的结构,是类似的。

Geophysical studies of the earth's crust and upper mantle in China are important in the understanding of the global plate tectonics and its dynamical system of the whole region.In this paper, the results of such investigations by means of chiefly explosion seismology, magneto-telluric measurements, gravity surveys and airomagnetic surveys and so forth during the past thirty years have been discussed.Finally, the future tasks and prospects of geophysical investigations of the earth's crust and upper mantle...

Geophysical studies of the earth's crust and upper mantle in China are important in the understanding of the global plate tectonics and its dynamical system of the whole region.In this paper, the results of such investigations by means of chiefly explosion seismology, magneto-telluric measurements, gravity surveys and airomagnetic surveys and so forth during the past thirty years have been discussed.Finally, the future tasks and prospects of geophysical investigations of the earth's crust and upper mantle in China are mentioned.

中国地壳与上地幔的地球物理探测对于全球板块构造和其动力系统的研究有着重要意义。本文论述了爆炸地震、大地电磁测深、重力测量、航空磁测等方面的研究结果和进展,最后提出了地壳与上地幔地球物理探测的任务与展望。

 
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