Четвериков

Александр

Петрович

Полный список научных трудов насчитывает более 150 наименований; наиболее полная информация представлена в базе данных elibrary.ru. Среди них:

1. Chetverikov А.Р., Ebeling W., Lakhno V.D., Velarde M.G. Discrete-breather-assisted charge transport along DNA-like molecular wires. Physical Review, V.100, (2019) 052203 (9 pages)
2. Chetverikov A.P., Ebeling W., Sch¨oll E., Velarde M.G. Nonlinear excitations and bound states of electrons, holes and solitons in bilayers of triangular lattices. European Physical Journal B. 2019. V. 92. P. 122 (11 pages)
3. Chetverikov A.P., Sergeev K.S., del Rio E. Noise influence on dissipative solitons in a chain of active particles. Physica A: Statistical Mechanics and its Applications (2019) V. 513, p. 147–155
4. A. P. Chetverikov, K. S. Sergeev, E. del Rio. Dissipative Solitons and Metastable States in a Chain of Active Particles. International Journal of Bifurcation and Chaos, Vol. 28, No. 8 (2018) 1830027 (9 pages)
5. Manuel G. Velarde, Alexander P. Chetverikov, Werner Ebeling, Sergey V. Dmitriev, and Victor D. Lakhno. FROM SOLITONS TO DISCRETE BREATHERS. Eur. Phys. J. B (2016) 89: 233 (10 pages)
6. A. Chetverikov, W. Ebeling, M. G. Velarde .Soliton assisted control of source to drain electron transport along natural channels – crystallographic axes – in two-dimensional triangular crystal lattices. Eur. Phys. J. B (2016) 89: 196;
7. A. Chetverikov, W. Ebeling, M. G. Velarde.  Long-Range Electron Transport Donor-Acceptor in Nonlinear Lattices. Entropy,  2016, 18, 92; (16 pages) 
8. Chetverikov A.P.,  Ebeling W., Velarde M.G. On the temperature dependence of fast electron transport in crystal lattices, Eur. Phys. J. B (2015) 88: 202 (7 pages)
9. Dmitriev S.V.,  Chetverikov A.P.,  Velarde M.G. Discrete breathers in 2D and 3D crystals, Phys. Status Solidi B, 1–5 (2015)   (basic solid state physics)
10. A.A. KISTANOV, S.V. DMITRIEV, A. P. CHETVERIKOV, M. G. VELARDE . Head-on and head-off collisions of discrete breathers in two-dimensional anharmonic crystal lattices, Eur. Phys. J. B (2014) 87: 211
11. A.P. CHETVERIKOV, W. EBELING, G.ROPKE & M. G. VELARDE. High electrical conductivity in nonlinear model lattice crystals mediated by thermal excitation of solectrons. Eur. Phys. J. B, (2014) 87: 153
12. M. G. VELARDE, A. P. CHETVERIKOV, W. EBELING, E. G.WILSON, K. J. DONOVAN. On the electron transport in polydiacetylene crystals and derivatives. EPL (A Letters Journal Exploring the Frontiers of Physics), 106,  27004(5), 2014
13. W. EBELING, A. P. CHETVERIKOV, G. RÖPKE & M. G. VELARDE  High conductivity mediated by thermal excitation of solectrons, Contrib. Plasma Phys. 53, 736-743, 2013
14. M. G. VELARDE, W. EBELING & A. P. CHETVERIKOV  Soliton-mediated compression density waves and charge density in 2d-layers of underdoped cuprate-like lattices. Comptes Rendus Mecanique (Comptes Rendues Acad. Sci, Paris) 340, 910-916, 2012
15. L. BRIZHIK,  A. P. CHETVERIKOV, W. EBELING, G. ROEPKE & M. G. VELARDE Electron pairing and Coulomb repulsion in one-dimensional anharmonic lattices. Phys. Rev. B 85, 245105-1-9, 2012 (arXiv:1203.0144v1.)
16. M. G. VELARDE, L. BRIZHIK,  A. P. CHETVERIKOV, L. CRUZEIRO, W. EBELING & G. ROEPKE  Electron pairing in one-dimensional anharmonic crystal lattices, Int. J. Quantum Chem. 112, 551-565, 2012
17. A. P. CHETVERIKOV, W. EBELING & M. G. VELARDE Localized nonlinear, soliton-like waves in two-dimensional anharmonic lattices, Wave Motion, 2011, v.48, p.753-760
18. A. P. CHETVERIKOV, W. EBELING & M. G. VELARDE Properties of nano-scale soliton-like excitations in two-dimensional lattice layers, Physica D 240, 2011, p.1954-1959
19. M.G.Velarde, W.Ebeling, A.P.Chetverikov Numerical evidence of soliton-mediated electron pairing in heated anharmonic crystal lattices. Int.J.Bifurc.&Chaos, 2011, v.21, p.1595-1600
20. D.E. Postnov, A.P. Chetverikov, D.D. Postnov. Stimulus-induced response patterns of medium-embedded neurons.  Eur. Phys.J. Special Topics 187, p.241-253, 2010 
21. M.G.Velarde, A.P.Chetverikov, W.Ebeling, D.Hennig, J.J.Kozak On the mathematical modeling of soliton-mediated long-range electron transfer. Int.J.Bifurc.&Chaos,  v.20, N1, p. 185-194, 2010
22. W. EBELING, M. G. VELARDE & A. P. CHETVERIKOV  Bound states of electrons with soliton-like excitations in thermal systems –adiabatic approximations, Condensed Matter Phys. 12, 633-645, 2009
23. D.Hennig, M.G.Velarde, W.Ebeling, A.Chetverikov Compounds of paired electrons and lattice solitons moving with supersonic velocity. Physical Review E 78: 066606-(9) (2008)
24. M.G.Velarde, W.Ebeling, A.P.Chetverikov, D.Hennig. Electron trapping by solitons. Classical versus quantum mechanical approach. Int.J.Bifurc.&Chaos,  2008, v.18, N2, p.521-526.
25. D.Hennig, A.Chetverikov, M.G.Velarde, W.Ebeling. Electron capture and transport mediated by lattice solitons. Physical Review E 76: 046602-(9) (2007)
26. V.A.Makarov, M.G.Velarde, A.Chetverikov, W.Ebeling. Anharmonicity and its significance to non-Ohmic electric conduction. Physical Review E 73: 066626-(12), 2006
27. A.P.Chetverikov, W.Ebeling, M.G.Velarde. Dissipative solitons and complex currents in active lattices, Int.J.Bifurc.&Chaos,  2006, v.16, N6, p.1613-1632
28. A.P.Chetverikov, W.Ebeling, M.G.Velarde. Thermodynamics and phase transitions in dissipative and active Morse chains. Eur. Phys.J. B, 2005, v.44, p.509-519
29. А.П.Четвериков, В.Эбелинг. Структурные свойства молекулярных цепочек с потенциалами Леннарда-Джонса и Морзе. Журнал структурной химии, 2004, т.45. N3, с.445-451
30. A.Chetverikov, J.Dunkel. Phase behavior and collective excitations of Morse ring chain. . European Physical Journal B, 2003, v.35, p.239-253
31. Chetverikov A., Ebeling W., Jenssen M., Romanovsky Yu. Excitations on rings of molecules.  In book: Stochastic dynamics of reacting biomolecules / Eds: by Ebeling W., Romanovsky Yu.,  Schimansky-Geier L. World Scientific Singapore, 2002, p.141-174
32. A.P.Chetverikov. Nonlinear dynamics of a model of interacting waves in a space with partially reflecting boundaries,  Int. J. Bifurcations and Chaos , 1998, v.8, No.5, p.1033-104
33. A.P. Chetverikov. Auto-oscillations and bifurcation transitions in a system consisting of a linear dispersive wave interecting with a dispersion free wave with cubic phase nonlinearity,  Technical Physics Letters, 1996, v.22, issue 11, p.944-946
34. A.P.Chetverikov. Periodic and chaotic self-sustained oscillations in simple distributed electron-waveguide system, Bul. of the Russian Academy of Sciences, Physics, 1994, v. 58, N8, p.1387-1393
35. D.I.Trubetskov. A.P.Chetverikov. Oscillations in distributed systems: electron beam - backward electromagnetic wave, Izvestiia VUZov, Applied nonlinear dynamics, 1994, v.2, N5, p.9-34
36. A.P.Chetverikov. Nonstationary theory and simulation of the backward wave peniotron oscillator, Int. Journal of Infrared and Millimeter Waves, 1993, v.14, N2, p.213-238
37. A.Yu. Dmitriev, D.I.Trubetskov, A.P.Chetverikov. Non-steady-state processes of interaction of a helical electron beam and a backward wave in a waveguide, Radiophysics and Quantum Electronics, 1991, v.34, N5, p.595-600
38. A.P.Chetverikov. Nonlinear effects in the interaction of a helical electron beam with electromagnetic waves in waveguide near the critical frequency, Radiophysics and Quantum Electronics, 1990, v.33, N7, p.622-626
39. S.P.Kuznetsov, A.P.Chetverikov. Transient nonlinear theory of an ultrarelativistic backward wave oscillator tube with an anomalous Doppler effect, Radiophysics and Quantum Electronics, 1981, v.24, N1, p.78-84
40. A.P.Chetverikov.  Onset of steady oscillations in free electron lasers, Sov. Phys. Tech. Phys., 1981, v.26, N 11, p.1452-1453
41. S.P.Kuznetsov, D.I.Trubetskov, A.P.Chetverikov. Nonlinear analytic theory of the peniotron. Sov. Phys. Tech. Lett., 1980, v.6,  p.498-499