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排序方式: 共有1303条查询结果,搜索用时 15 毫秒
101.
The notion of shear centre in Saint-Venant beam theory was introduced by Robert Maillart who envisaged it to explain the results of experimental tests on beams with C-shaped sections. In literature, the location of the shear centre is provided in terms of flexure functions. The new result is a formula for the shear centre, based on the knowledge of the sole twist warping function of the cross-section. 相似文献
102.
Two tracking properties for trajectories on attracting sets are studied. We prove that trajectories on the full phase space can be followed arbitrarily closely by skipping from one solution on the global attractor to another. A sufficient condition for asymptotic completeness of invariant exponential attractors is found, obtaining similar results as in the theory of inertial manifolds. Furthermore, such sets are shown to be retracts of the phase space, which implies that they are simply connected. 相似文献
103.
In this paper,the modern geometrical structure of analytical mechanics,the exteriordifferential forms and the geometrical meaning of dynamic equations are briefly discussed. 相似文献
104.
HUANG Xiaojun 《中国科学A辑(英文版)》2006,49(11):1441-1450
In this paper, we discuss some recent studies on the complex structure of an isolated normal singularity by using the information
from its link. We also give some open problems to be further pursued.
Dedicated to Professor Sheng GONG on the occasion of his 75th birthday 相似文献
105.
Kaspar Nipp 《BIT Numerical Mathematics》2002,42(2):408-439
The dynamics of a differential algebraic equation takes place on a lower dimensional manifold in phase space. Applying a numerical integration scheme, it is natural to ask if and how this geometric property is preserved by the discrete dynamical system. In the index-1 case answers to this question are obtained from the singularly perturbed case treated by Nipp and Stoffer, Numer. Math. 70 (1995), 245–257, for Runge-Kutta methods and in K. Nipp and D. Stoffer, Numer. Math. 74 (1996), 305–323, for linear multistep methods. As main result of this paper it is shown that also for Runge-Kutta methods and linear multistep methods applied to a index-2 problem of Hessenberg form there is a (attractive) invariant manifold for the discrete dynamical system and this manifold is close to the manifold of the differential algebraic equation. 相似文献
106.
KOPPELMAN-LERAY FORMULA ON COMPLEX MANIFOLDS 总被引:1,自引:0,他引:1
钟同德 《数学物理学报(B辑英文版)》1995,(1)
(钟同德)KOPPELMAN-LERAYFORMULAONCOMPLEXMANIFOLDS¥ZhongTongde(InstituteofMathematics,XiamenUniversity,Xiamen361005,China)Abstract... 相似文献
107.
Many processes in the sciences and in engineering are modelled by dynamical systems and—in discretized version—by nonlinear maps. To understand the often complicated dynamical behaviour it is a well established tool to use the concept of invariant manifolds of the system. In this way it is often possible to reduce the dimension of the system considerably. In this paper we propose a new method to calculate numerically invariant manifolds near fixed points of maps. We prove convergence of our procedure and provide an error estimation. Finally, the application of the method is illustrated by examples. 相似文献
108.
A. A. Borisenko 《Mathematical Notes》1997,62(5):562-565
The topological structure of compact Riemannian manifolds that admit hyperbolic foliations is studied.
Translated fromMatematicheskie Zametki, Vol. 62, No. 5, pp. 673–676, November, 1997.
Translated by S. S. Anisov 相似文献
109.
110.
D. B. McReynolds 《Geometriae Dedicata》2007,129(1):47-55
In this article we verify an orbifold version of a conjecture of Nimershiem from 1998. Namely, for every flat n-manifold M, we show that the set of similarity classes of flat metrics on M which occur as a cusp cross-section of a hyperbolic (n + 1)-orbifold is dense in the space of similarity classes of flat metrics on M. The set used for density is precisely the set of those classes which arise in arithmetic orbifolds.
相似文献