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29 results on '"Abramov, V."'

1. [Creating models of a disease].

Author

Gilev IuM, Elbakidze EG, Soborov AP, and Abramov VF

Subjects
Humans, Diagnosis, Mathematics, Models, Theoretical
Published
1969

2. PARAMETER STABILITY UNDER PERMANENT PERTURBATIONS

Author

Abramov, V. V., Belman, S. A., and Liskina, E. Yu.

Subjects
Mathematics
Abstract

For a normal periodic system of ordinary differential equations with a small parameter, we examine the stability property of the origin under the assumption that the right-hand side of the system has a critical linear approximation. The stability conditions are formulated in terms of estimates of the monodromy operator. Keywords and phrases: differential equation, small parameter, stability, permanent perturbation, monodromy operator, periodic solution. AMS Subject Classification: 34D20, 34C25, 1. Introduction. Stability of the origin under permanent perturbations (PP-stability) plays an important role in the control theory. Classical sufficient conditions of the PP-stability are based on the direct Lyapunov [...]

Published
2022
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3. ON STABILITY OF SMALL PERIODIC SOLUTIONS

Author

Abramov, V. V.

Subjects
Differential equations, Mathematics
Abstract

In this paper, we consider normal time-periodic systems of ordinary differential equations whose right-hand sides smoothly depend on phase variables and small parameters. Branching conditions for small periodic solution of the system are found. Lyapunov stability tests for small solutions with respect to parameters or variables are established. Our reasoning is based on the analysis of the first nonlinear approximation of the monodromy operator. Keywords and phrases: system of ordinary differential equations, small parameter, monodromy operator, branching of a periodic solution, stability. AMS Subject Classification: 34C23, 34C25, 34D99, 1. Introduction. The leading approach in the study of bifurcations of periodic solutions of nonautonomous systems is based on the study of shift operators (monodromy operators; see [7]). The property [...]

Published
2020
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4. Dynamics Equations for an Anisotropic Plastic Subsystem of a Fractal Medium

Author

Abramov, V. S., Abramova, O. P., and Efimenko, N. O.

Subjects
Calculus -- Usage, Dynamics -- Research, Plastics -- Research, Mathematics
Abstract

Byline: V. S. Abramov (1), O. P. Abramova (2), N. O. Efimenko (2) Abstract: Model equations for the dynamics of an anisotropic plastic subsystem of a fractal medium are obtained in explicit form using fractional calculus. The slow dynamics of a number of parameters are analyzed and the results are represented graphically. Author Affiliation: (1) Donetsk Physicotechnical Institute, National Academy of Sciences of Ukraine, Ukraine (2) Donetsk State University, Ukraine Article History: Registration Date: 06/10/2004

Published
2001

5. S

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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6. E

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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7. P

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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8. Z

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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9. W

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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10. V

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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11. T

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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12. R

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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13. Q

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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14. N

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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15. O

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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16. M

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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17. L

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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18. K

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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19. J

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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20. I

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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21. H

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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22. G

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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23. F

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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24. D

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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25. C

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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26. A

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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27. B

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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28. Verification of software codes for simulation of unsteady flows in a gas centrifuge.

Author

Abramov, V., Bogovalov, S., Borisevich, V., Borman, V., Kislov, V., Tronin, I., Tronin, V., and Yupatov, S.

Subjects
*GAS dynamics, *FLUID dynamics, *SEMIANALYTIC sets, *MATHEMATICS, *EQUATIONS
Abstract

A simple semi-analytical solution is proposed for the problem of an unsteady gas flow in a gas centrifuge. The circulation in the centrifuge is driven by a source/sink of energy and by an external force (deceleration/acceleration of the gas rotation) acting on the gas at a given frequency. In the semi-analytical solution, the rotor is infinite, while the given forces vary harmonically with a given wave-length along the axial coordinate. As a result, the unsteady flow problem is reduced to a system of ordinary differential equations, which can be quickly solved to any prescribed accuracy. This problem is proposed for verifying numerical codes designed for the simulation of unsteady processes in gas centrifuges. A similar unsteady problem is solved numerically, in which case the cylinder is finite with the rotor length equal to the wavelength of the external force along the axis of rotation. The periodicity of the solution is set at end faces of the cylinder. As an example, the semi-analytical solution is compared with the numerical one obtained with these boundary conditions. The comparison confirms that the problem formulations are equivalent in both cases. [ABSTRACT FROM AUTHOR]

Published
2013
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29. U

Author

Hazewinkel, M., Abhyankar, S. S., Abramov, V., Adem, A., Aizenberg, L., Albeverio, S., Alías, Luís J., Andréka, H., Apanasov, B. N., Assani, I., Atanassov, K., Axler, S., Bagchi, A., Balachandran, K., Bapat, R. B., Bardos, C., Bartsch, T., Bates, P. W., Belinsky, E. S., and Ben-Israel, A.

Published
2002
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