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1.
We study parametric oscillations of linear systems with one degree of freedom for large values of the modulation coefficient. We use the classical analytic Lyapunov-Poincaré perturbation methods and an original numerically-analytic method of accelerated convergence to construct periodic solutions and the corresponding eigenvalues. We find the boundaries of stability and instability domains. We use specific models to illustrate the main properties of parametric oscillations of systems with singular character of the perturbation dependence on the modulation coefficient. We consider periodic boundary value problems for the modified Mathieu equation and the Kochin equation modeling crankshaft torsional vibrations and show that there are significant differences between weakly and essentially perturbed periodicmotions both for the lowest and arbitrary oscillation modes. We also describe the unusual properties of the boundaries in the domain of the system determining parameters. 相似文献
2.
A class of rigorous solutions of the Einstein–Maxwell equations is obtained within the Newman–Penrose formalism for algebraically special gravitational fields with the cosmological constant and energy-momentum tensor of electromagnetic radiation given that the photon flux specifying electromagnetic radiation determines isotropic-geodesic congruence. Designations within the Newman–Penrose formalism and numbers of formulas in references are the same as in [1]. 相似文献
3.
I. G. Alekseev P. E. Budkovsky V. P. Kanavets L. I. Koroleva B. V. Morozov V. M. Nesterov V. V. Ryltsov D. N. Svirida A. D. Sulimov V. V. Zhurkin Yu. A. Beloglazov A. I. Kovalev S. P. Kruglov D. V. Novinsky V. A. Shchedrov V. V. Sumachev V. Yu. Trautman N. A. Bazhanov E. I. Bunyatova 《Physics of Atomic Nuclei》2002,65(2):220-228
New experimental data on the spin-rotation parameters A and R measured for elastic π ± p scattering in the resonance region and on the asymmetry in pC scattering at primary momenta in the range 1.35–2.02 GeV/c, as well as in quasielastic proton scattering on nuclei in the same momentum range, are summarized. All these data were recently obtained by using the proton synchrotron installed at the Institute of Theoretical and Experimental Physics (ITEP, Moscow). The spectrum and features of seven isospin-3/2 baryon resonances that form a peak in the total cross section at a c.m. energy of 1.9 GeV are analyzed on the basis of new data on the parameters A and R, and the results of this analysis are presented. The experiments surveyed in this article were performed by a collaboration of researchers from ITEP and the Petersburg Nuclear Physics Institute (PNPI, Gatchina), the ITEP-PNPI collaboration. 相似文献
4.
A. I. Nesterov 《Letters in Mathematical Physics》1998,45(3):203-216
The dynamics of n vortices in the self-dual Chern–Simons–Higgs system defined on the infinite plane is investigated. In adiabatic approximation, the vortex dynamics is determined by considering a rigid motion of a vortex configuration and a motion around a fixed center of mass. A motion of two vortices is studied in detail. 相似文献
5.
V. D. Dyachenko S. G. Krivokolysko V. N. Nesterov Yu. T. Struchkov V. P. Litvinov 《Russian Chemical Bulletin》1996,45(10):2405-2410
The reaction of cyano(cyclohexylidene)thioacetamide with cyanothioacetamide or malononitrile andN-methylmorpholine yieldsN-methylmorpholinium 6-amino-3,5-dicyano-1,4-dihydropyridine-4-spirocyclohexane-2-thiolate. Its structure was established based on the results of alkylation and X-ray structural analysis.Deceased.Translated fromIzvestiya Akademii Nauk. Seriya Khimicheskaya, No. 10, pp. 2535–2540, October, 1996. 相似文献
6.
A. M. Shestopalov Yu. A. Sharanin I. A. Aitov V. N. Nesterov Yu. T. Struchkov V. P. Litvinov 《Chemistry of Heterocyclic Compounds》1991,27(8):872-878
Highly regioselective reactions of pyridinium ylides with tetracyanoethylene occur via an AdN-E mechanism to form Z-isomers of 3-aroyl-3-(1-pyridinio)-1,1,2-tricyano-2-propenides-1, corresponding in structure to 1,4-ylides with maximum charge separation. If the unsaturated nitrite starting material contains a nucleofugal group 1,2-elimination predominates over 1,3-elimination.Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 8, pp. 1087–1094, August, 1991. 相似文献
7.
The structure of 1-methylmorpholinium 6-methyl-4-phenyl-3-cyano-5-ethoxycarbonyl-1,4-dihydro-2-pyridineselenolate was studied using x-ray diffraction analysis. It was found that the 1,4-dihydropyridine ring has a boat conformation, and the plane of the pseudoaxial phenyl substituent is perpendicular to the bottom of this boat. In the anion, the C–Se bond length, which is 1.882(2) Å, indicates that the negative charge is formally located on the Se atom. The anions and cations of the salt in the crystal are linked by intermolecular hydrogen bonds.A. N. Nesmeyanov Institute of Heteroorganic Compounds, Russian Academy of Sciences, Moscow 117813, Russia. T. G. Shevchenko Lugansk State Pedagogical Institute, Lugansk 348011, Ukraine. Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 6, pp. 785–789, June, 1998. 相似文献
8.
A method for asymmetric reduction of α-and β-ketophosphonates using a chiral complex prepared from sodium borohydride and D-or L-tartaric acid is developed. Reduction of α-or β-ketophosphonates by these reagents led to formation of corresponding (S)-or (R)-hydroxyphosphonates. Reduction of chiral di(1R,2S,5R)-menthylketophosphonates by the chiral complex NaBH4/(R,R)-tartaric acid due to the dual compliant asymmetric induction resulted in increased stereoselectivity of the reaction and led to formation of the hydroxyphosphonates with ee 90% or higher. On the other hand, reduction of di(1R,2S,5R)-methylketophosphonates by the chiral complex NaBH4/(S,S)-tartaric acid proceeded as non-compliant dual asymmetric induction and resulted in decreased reaction stereoselectivity leading to formation of hydroxyphosphonates with ~45–60% ee. The developed methodology was applied to the synthesis of (R)-phosphocarnitine in multigram amounts. 相似文献
9.
I. V. Dlinnykh G. A. Golubeva I. F. Leshcheva V. V. Nesterov M. Yu. Antipin L. A. Sviridova 《Chemistry of Heterocyclic Compounds》2004,40(9):1142-1149
The reaction of oxindoles with 5-hydroxypyrazolidines on the surface of potassium fluoride-modified alumina leads to 3-(5-pyrazolidinyl)oxindoles. The structure of these products was studied. 相似文献
10.
V. D. Dyachenko S. G. Krivokolysko V. N. Nesterov V. P. Litvinov 《Chemistry of Heterocyclic Compounds》1996,32(9):1066-1074
By the condensation of an aromatic aldehyde, the anilide of acetoacetic acid, cyanothioacetamide, and Nmethylmorpholine, substituted N-methylmorpholinium 1,4-dihydropyridine-2-thiolates have been synthesized and subsequently used in the synthesis of the corresponding thiones, 2-alkylthiopyridines, thieno[2, 3b]pyridines, and disulfides. X-ray diffraction has been used to establish the structure of 2-allylthio-6-methyl-5phenylcarbamoyl-4-(2-chlorophenyl)-3-cyano-1, 4-dihydropyridine.T. G. Shevchenko Lugansk State Pedagogical Institute, Lugansk 348011. A. N. Nesmeyanov Institute of Heteroorganic Compounds, Russian Academy of Sciences, Moscow 117813. N. D. Zelinskii Institute of Organic Chemistry, Russian Academy of Sciences, Moscow 117913. Translated from Khimiya Geterotsiklicheskikh Soedinenii, No. 9, pp. 1243–1251, September, 1996. Original article submitted May 13, 1996. 相似文献