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Publications in Math-Net.Ru |
Citations |
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2024 |
| 1. |
A. I. Gudimenko, A. Likhosherstov, “Spectral problem for a harmonic chain
with dissipation at the boundaries”, Math. Notes, 116:4 (2024), 600–613  |
| 2. |
A. I. Gudimenko, A. V. Lihosherstov, “On the Phenomenon of Low-Frequency, Large-Amplitude Oscillations in a High-Dimensional Linear Dynamical System”, Rus. J. Nonlin. Dyn., 20:2 (2024), 259–276 |
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2023 |
| 3. |
A. I. Gudimenko, A. V. Lihosherstov, “The problem of vibrations in a harmonic chain with damping and anti-damping on the boundaries”, Dal'nevost. Mat. Zh., 23:2 (2023), 161–177 |
| 4. |
A. I. Gudimenko, “Inverse spectral problem for an antisymmetric tridiagonal matrix”, Sib. Èlektron. Mat. Izv., 20:2 (2023), 1026–1036 |
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2021 |
| 5. |
A. I. Gudimenko, “Covariant hydrodynamics of Hamiltonian systems”, Dal'nevost. Mat. Zh., 21:2 (2021), 166–179 |
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2020 |
| 6. |
A. I. Gudimenko, “Heat flow in a harmonic chain due to an impulse disturbance”, Dal'nevost. Mat. Zh., 20:1 (2020), 52–57 |
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| 7. |
A. I. Gudimenko, “Heat flow in a one-dimensional semi-infinite harmonic lattice with an absorbing boundary”, Dal'nevost. Mat. Zh., 20:1 (2020), 38–51 |
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2019 |
| 8. |
Yu. N. Zhuravlev, M. A. Guzev, A. I. Gudimenko, “Protein synthesis as an object of physical and mathematical research and modeling”, Sib. Èlektron. Mat. Izv., 16 (2019), 340–368 |
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2018 |
| 9. |
A. I. Gudimenko, “Geometric formulations of the balance laws of continuum mechanics”, Dal'nevost. Mat. Zh., 18:2 (2018), 150–176 |
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2017 |
| 10. |
A. I. Gudimenko, “Harmonic oscillator chains with exactly solvable dynamics”, Dal'nevost. Mat. Zh., 17:1 (2017), 11–21  |
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2016 |
| 11. |
A. I. Gudimenko, M. A. Guzev, Yu. N. Zhuravlev, “On applicability of category theory to the description of ontogeny events”, Dal'nevost. Mat. Zh., 16:2 (2016), 147–159 |
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2015 |
| 12. |
A. I. Gudimenko, M. A. Guzev, “On covariant form of the momentum balance equation for perfect fluid”, Dal'nevost. Mat. Zh., 15:1 (2015), 41–52 |
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2014 |
| 13. |
A. I. Gudimenko, M. A. Guzev, “Geometrical aspects of the mass conservation law”, Dal'nevost. Mat. Zh., 14:2 (2014), 173–190 |
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| 14. |
A. I. Gudimenko, M. A. Guzev, “On invariant form of the mass conservation law”, Dal'nevost. Mat. Zh., 14:1 (2014), 33–40 |
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2010 |
| 15. |
A. I. Gudimenko, A. D. Zakharenko, “A study of relative equilibria of three vortices”, Dal'nevost. Mat. Zh., 10:2 (2010), 106–116 |
| 16. |
A. I. Gudimenko, A. D. Zakharenko, “Qualitative analysis of relative motion of three vortices”, Nelin. Dinam., 6:2 (2010), 307–326 |
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| 17. |
A. I. Gudimenko, A. D. Zakharenko, “Three-vortex motion with zero total circulation”, Prikl. Mekh. Tekh. Fiz., 51:3 (2010), 55–65 ; J. Appl. Mech. Tech. Phys., 51:3 (2010), 343–352 |
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2009 |
| 18. |
A. I. Gudimenko, K. G. Kuptsov, “Motion of three point vortices under the condition that one of them passes through the vorticity center”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, no. 2, 37–51 |
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2008 |
| 19. |
A. I. Gudimenko, “Dynamics of perturbed singular configuration of three point vortices”, Nelin. Dinam., 4:4 (2008), 429–441 |
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| 20. |
A. I. Gudimenko, “Dynamics of Perturbed Equilateral and Collinear Ņonfigurations of Three Point Vortices”, Regul. Chaotic Dyn., 13:2 (2008), 85–95   |
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2007 |
| 21. |
A. I. Gudimenko, “Dynamics of perturbed equilateral and collinear configurations of three point vortices”, Nelin. Dinam., 3:4 (2007), 379–391 |
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| 22. |
A. I. Gudimenko, “Chaos and resonances in a rotating flow disturbed by ā periodic motion of a point vortex”, Nelin. Dinam., 3:1 (2007), 33–48 |
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2002 |
| 23. |
A. I. Gudimenko, “A new approach to studying the dynamics of a thin curved vortex”, Prikl. Mekh. Tekh. Fiz., 43:1 (2002), 36–44 ; J. Appl. Mech. Tech. Phys., 43:1 (2002), 29–36 |
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1997 |
| 24. |
A. I. Gudimenko, “Set-valued and epi-standardizations and their connections with convergences of the same name”, Sibirsk. Mat. Zh., 38:1 (1997), 78–89 ; Siberian Math. J., 38:1 (1997), 66–75  |
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