Closed thin elastic rod with self-contact
Conference talk: A constructive approach to modelling the ideal shapes of
some linked structures.
"Knots,
random walks and biomolecules", 14-17 July 2003, Les Diablerets,
Switzerland. Abstract.
Some works on RNA:
- Workshop on Atomistic to Continuum
Models for Long Molecules and Thin Films, Ascona 2001. Poster (pdf)
- Elastic rod model of RNA 3D structure
(pdf)
- A mathematical model of
three-dimensional structure formation of RNA (with E.I.Kugushev,
E.E.Pirogova).(gzipped
ps)
Some papers on chaos:
- Regular and chaotic rotations of a satellite in
sunlight flux (with V.V.Beletsky). In: Nonlinearity and Chaos in Engineering Dynamics,
ed. by J.M.T.Thompson, S.R.Bishop; John Wiley & Sons, 1994, pp.
193-204. Abstract.
- 3-D chaos in the thin elastic rod. In: Proceedings of Int. Conf. on
Nonlinearity, Bifurcation and Chaos, Lodz-Dobieszkow, Poland, 1996, pp.
230-233. (gzipped ps)
- The pendulum as a dynamical billiard (with
V.V.Beletsky, G.V.Kasatkin). Chaos, Solitons & Fractals, 1996, 7, No. 8, pp.
1145-1178. (pdf)
- Weak gravitation destroys non-symmetric periodic
trajectories of a billiard in a circle.
In: Proceedings of the 2nd European Nonlinear Oscillations Conference, Prague, 9-13 Sept. 1996, v. 2, pp. 235-238. (gzipped ps) - Regular and chaotic motions in applied dynamics
of a rigid body (with V.V.Beletsky, M.L.Pivovarov). Chaos, 1996, 6, pp. 155-166.
(pdf)
Some other papers:
- Calculating a cam profile for a
constant-force mechanism.
Soviet Machine Science (Academy of Sciences of the USSR), Allerton Press Inc., 1987, No. 4, 69-76, ISSN 0739-8999; translation from Izv. Ross. Akad. Nauk, Mashinovedenie, 1987, No. 4, 76-83, ISSN 0140-1009. (pdf) - Planar librations of a
gravity-oriented satellite under the influence of solar radiation pressure
(with V.V.Beletsky).
Acta Astronautica, 1989, 19, No. 3, pp. 201-213. Abstract. Full text (pdf). - Three-dimensional conformations of
looped DNA in an elastomechanical approximation.
In: Proceedings of the 2nd International Conference on Nonlinear Mechanics, Peking University Press, Beijing, China, 1993, pp. 188-190. (pdf) - Controlling the rotation of a
spacecraft by means of solar radiation pressure forces (with V.V.Beletsky,
A.V.Grushevsky).
J. Comput. Syst. Sci. Int., 1994, 32, No.3, pp. 70-76; translation from Izv. Ross. Akad. Nauk, Tekh. Kibern., 1993, No.1, 32-38, ISSN 1064-2307. Abstract. - Two-stage multiple cameras calibration
(with A.Y.Kargashin, E.I.Kugushev).
In: Proc. SPIE Vol. 2646, Digital Photogrammetry and Remote Sensing '95, Ed. E.A.Fedosov (1995) 254-260. Abstract. - Three-dimensional shapes of looped
DNA. Meccanica, 1996, v. 31, No. 3, pp.
235-271. Abstract. Full text (pdf).
- Free manifolds of dynamical billiards
(with V.V.Beletsky, E.I.Kugushev).
In: Dynamics of Vibro-Impact Systems, ed. by V.I.Babitsky; Springer, 1999, pp. 29-38. (gzipped ps)
Other
publications can be found on LCVMM web page
