共查询到20条相似文献,搜索用时 15 毫秒
1.
R. A. Sharipov 《Theoretical and Mathematical Physics》1994,101(1):1218-1223
The problem of metrizability of dynamical systems that admit normal shift is formulated and solved. The explicit form of the force field for a Newtonian dynamical system
tt
r=F(r,
t
r) along which normal shift coincides with the metric normal shift for some conformally Euclidean metric is found.State University, Bashkir. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 101, No. 1, pp. 85–93, October, 1994. 相似文献
2.
A. Yu. Boldin V. V. Dmitrieva S. S. Safin R. A. Sharipov 《Theoretical and Mathematical Physics》1995,103(2):543-549
Newtonian dynamical systems that admit normal shift on an arbitrary Riemannian manifold are considered. The determining equations for these systems, which constitute the condition of weak normality, are derived. The extension of the algebra of tensor fields to manifolds is considered.Bashkir State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 103, No. 2, pp. 256–266, May, 1995. 相似文献
3.
The classical geometrical construction of Bianchi—Lie, Bäcklund, and Darboux transformations is considered and generalized for dynamical systems. For a transformation that generalizes normal displacement, a class of dynamical systems that admit this transformation is found. A differential equation that distinguishes dynamical systems inR
2 that belong to this class is derived, and some solutions of it are considered.State University, Bashkir. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 97, No. 3, pp. 386–395, December, 1993. 相似文献
4.
We consider the question of which operators on Hilbert space admit a moment sequence, and show, in particular, that ifT is any operator inL(itH) that can be written asT=N+K, whereN is normal andK is compact, andM⊂itH is any invariant subspace forT, then the restrictionT/itM admits such a sequence. 相似文献
5.
J. M. Borwein J. D. Vanderwerff 《Proceedings of the American Mathematical Society》1996,124(3):751-755
It is shown that the existence of a closed convex set all of whose points are properly supported in a Banach space is equivalent to the existence of a certain type of uncountable ordered one-sided biorthogonal system. Under the continuum hypothesis, we deduce that this notion is weaker than the existence of an uncountable biorthogonal system.
6.
Karin Arikushi Radoslav Fulek Balázs Keszegh Filip Morić Csaba D. Tóth 《Computational Geometry》2012,45(4):169-177
We consider right angle crossing (RAC) drawings of graphs in which the edges are represented by polygonal arcs and any two edges can cross only at a right angle. We show that if a graph with n vertices admits a RAC drawing with at most 1 bend or 2 bends per edge, then the number of edges is at most 6.5n and 74.2n, respectively. This is a strengthening of a recent result of Didimo et al. 相似文献
7.
8.
E. I. Khukhro 《Siberian Mathematical Journal》1989,30(6):1010-1019
Dedicated to the memory of A. I. Mal'tsev. 相似文献
9.
Boju Jiang Yi Ni Shicheng Wang 《Transactions of the American Mathematical Society》2004,356(11):4371-4382
Motivated by the study in Morse theory and Smale's work in dynamics, the following questions are studied and answered: (1) When does a 3-manifold admit an automorphism having a knotted Smale solenoid as an attractor? (2) When does a 3-manifold admit an automorphism whose non-wandering set consists of Smale solenoids? The result presents some intrinsic symmetries for a class of 3-manifolds.
10.
Dr. T. Schwartzbauer 《Probability Theory and Related Fields》1970,15(3):239-248
Summary We are concerned with a class of automorphisms which can be approximated by periodic transformations. We show that such an automorphism T is ergodic and that a relationship exists between the spectrum of T, the measure of the sets which are invariant under T, and the ergodicity of the powers of T. Finally, we exhibit conditions under which T is weakly mixing and not strongly mixing.This research was supported by NSF Grant No. GP-7490. 相似文献
11.
Henrik Petersson 《Proceedings of the American Mathematical Society》2006,134(6):1671-1676
A continuous linear operator is hypercyclic if there is an such that the orbit is dense. A result of H. Salas shows that any infinite-dimensional separable Hilbert space admits a hypercyclic operator whose adjoint is also hypercyclic. It is a natural question to ask for what other spaces does contain such an operator. We prove that for any infinite-dimensional Banach space with a shrinking symmetric basis, such as and any , there is an operator , where both and are hypercyclic.
12.
B. Chevreau I. B. Jung E. Ko C. Pearcy 《Proceedings of the American Mathematical Society》2007,135(6):1763-1767
As the title indicates, this note is a continuation of a paper by Foias, Jung, Ko and Pearcy, in which it was shown that certain classes of operators on a Hilbert space admit moment sequences. Herein we extend these results.
13.
14.
15.
M. K. Tchobanou 《Numerical Analysis and Applications》2008,1(2):179-195
The problem of designing filter banks for multidimensional multirate systems by using a lifting technique is considered. To solve it, we develop a design method for multidimensional digital filters with fractional shift. A symmetric structure is defined for τ = (1/2, 1/2) and a new structure is designed based on application of multidimensional Taylor series. Frequency and impulse responses are given for filters with fractional space shift and their L 2-norm is found. Relevant wavelet functions are calculated and results of image compression by the designed filter banks are presented. 相似文献
16.
F. A. Lunev 《Theoretical and Mathematical Physics》1991,89(1):1098-1105
Moscow State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 89, No. 1, pp. 121–131, October, 1991. 相似文献
17.
F. A. Lunev 《Theoretical and Mathematical Physics》1992,90(1):35-41
A large class of field-theory models that admit alternative Lagrangian formulations is described. It includes, in particular, all bi-Lagrangian field theories with hyperregular first-order Lagrangians.Moscow State University. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 90, No. 1, pp. 55–64, January, 1992. 相似文献
18.
M. V. Savel'ev 《Theoretical and Mathematical Physics》1986,69(3):1234-1240
19.
It is proved in the paper that any low rank perturbation of a Hermitian matrix is unitarily reducible to band form. Moreover, if a normal matrix is unitarily reducible to band form, then any of its rank one perturbations is unitarily reducible as well.Translated fromMatematicheskie Zametki, Vol. 64, No. 6, pp. 871–880, December, 1998. 相似文献
20.
We describe classes of electromagnetic waves that admit the subgroups of the Poincaré group such that the subgroups contain
parabolic helices. Representatives of some classes are constructed.
__________
Translated from Fundamentalnaya i Prikladnaya Matematika (Fundamental and Applied Mathematics), Vol. 12, No. 7, pp. 79–92,
2006. 相似文献