Closed ply

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

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