| Book:
Mathematical Aspects of Classical and Celestial
Mechanics (with V.I. Arnold, V.V. Kozlov).
Encyclopaedia of Mathematical Sciences,
vol.3, Dynamical Systems-3, Springer-Verlag,
1988, 1998, 2006
Selected papers in academic journals:
1. Passage through resonances in the
two-frequency problem. Sov. Phys. Dokl., 20, 189-191
(1975).
2. Averaging in multi-frequency systems. II. Sov.
Phys. Dokl, 21, 80-82 (1976).
3. Passage through a separatrix in a
resonance problem with a slowly-varying parameter.
J. Appl. Math. Mech., 39, no. 4, 594-605 (1976).
4. Propagation of beams through smoothly
irregular waveguides and theory of perturbations in
Hamiltonian systems. Radiophys. and Quantum
Electronics, 25, 157-164 (1982).
5. The separation of motions in systems with
rapidly rotating phase. J. Appl. Math. Mech., 48,
133-139 (1985).
6. Change of an adiabatic invariant at a
separatrix. Sov.J.Plasma Phys., 12, 568-573
(1986).
7. Jumps in the adiabatic invariant on crossing
the separatrix and the origin of the 3:1 Kirkwood
gap. Sov. Phys. Dokl, 32, 571-573 (1987).
8. On stability loss delay for dynamical
bifurcations. I, II, Differ. Equations, 23,
1385-1391 (1987); 24, 171-176 (1988).
9. On stability loss delay for a periodic
trajectory. Progress in Nonlinear Differential
Equations, 19, 253-278 (1996) (with C.Simo,
D.V.Treschev).
10. Changes in adiabatic invariant and
streamline chaos in confined incompressible Stokes
flow. Chaos, 6, 67-76 (1996) (with D.Vainshtein,
A.Vasiliev).
11. Scattering by resonances. Celestial
Mechanics and Dynamical Astronomy, 65, 1-20,
(1997).
12. Stable periodic motions in the problem of
passage through a separatrix. Chaos, 7, 2-11
(1997) (with V.V.Sidorenko,
D.V.Treschev).
13. Chaotic advection in a cubic Stokes flow.
Physica D, 111, 227-242 (1998) (with D.Vainshtein,
A.Vasiliev).
14. Captures into resonance and scattering on
resonance in dynamics of a charged relativistic
particle in magnetic field and electrostatic wave.
Physica D 141, 281-296 (2000) (with A.Vasiliev
and A..Itin).
15. On the accuracy of persistence of adiabatic
invariant in single-frequency systems. Regul.
Chaotic Dyn. 5 , 213—218 (2000).
16. Transport in a slowly perturbed convective
cell flow. Chaos, 12 , 1043-1053 (2002)(with R. de
la Llave, A.Itin, A.Vasiliev).
17.
Evolution of comet nucleus rotation.
Icarus, 157, 205-218 (2002) (with
D.Scheeres, V.Sidorenko)
18. The influence of reactive torques on comet
nucleus rotation. Celestial Mech. Dynam. Astronom.
86, 249-275 (2003) ( with D. Scheeres, V. Sidorenko,
P. Stooke, A. Vasiliev).
19. Geometric and statistical properties induced
by separatrix crossings in volume-preserving
systems. Nonlinearity, 16, 521-557 (2003)
(with C.Simo, A.Vasiliev).
20. On averaging in two-frequency systems with
small Hamiltonian and much smaller non-Hamiltonian
perturbations. Mosc. Math. J., 3,
1039-1052, (2003).
21. Wisdom system: dynamics in the adiabatic
approximation. Celestial Mech. Dynam. Astronom., 90,
307-330 (2004)(with V.Sidorenko).
22. Adiabatic piston as a dynamical system. J.
Statist. Phys., 116, 815—820 (2004) (with Ya.G.Sinai).
23. Resonances and particle stochastization in
nonhomogeneous electromagnetic fields. J. Nonlinear
Sci., 14, 173-205 (2004) (with and D.L.Vainshtein,
E.V.Rovinsky, L.M.Zelenyi).
24. Phase change between separatrix crossings in
slow-fast Hamiltonian systems. Nonlinearity
18, 1393—1406 (2005)(with A.A.Vasiliev).
25. Capture into resonance and scattering on
resonances in two-frequency systems. Proceedings
of the Steklov Institute of Mathematics, 250,
183-203 (2005).
26.
Quasiadiabatic description of nonlinear particle
dynamics in typical magnetotail configurations.
Nonlinear Processes in Geophysics, 12,
101–115 (2005) (with D.Vainshtein, J. Buechner,
L.Zelenyi).
27. Unsteady fluid flow separation by the method
of averaging. Phys. Fluids, 17, 067104, 13 pp.
(2005)(with M.Kilic, G.Haller).
28. On chaotic behavior of gravitating stellar
shells. Chaos, 15, 013104, 8 p. (2005) (with
M.Barkov, G.Bisnovattyi-Kogan, V.Belinski).
29. Destruction of adiabatic invariance at
resonances in slow-fast Hamiltonian systems. Nuclear
Instruments and Methods in Physics Research
A 561, 158-165 (2006) (with A.A.Vasiliev).
30. On adiabatic perturbation theory for systems
with elastic collisions. J.Appl. Math. Mech., 70,
no. 1 (2006) (with I.Gorelyshev).
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