**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.****Full text (pdf).****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 **