Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version)

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IssuesArchive of Issues2013-4pp.392-400

Archive of Issues

Total articles in the database: 2048
In Russian (ΟΜΜ): 1249
In English (J. Appl. Math. Mech.): 799

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J. Awrejcewicz, S. Mlynarska, and L.V. Yakushevich, "Non-linear oscillations of DNA base pairs," J. Appl. Math. Mech. 77 (4), 392-400 (2013)
Year 2013 Volume 77 Issue 4 Pages 392-400
Title Non-linear oscillations of DNA base pairs
Author(s) J. Awrejcewicz (Lodz, Poland)
S. Mlynarska (Lodz, Poland)
L.V. Yakushevich (Pushchino, Russia,
Abstract Non-linear oscillations of the nitrogenous bases of DNA, which form pairs: adenine - thymine or guanine - cytosine, are considered. An approach is used in which this biophysical problem can be reduced to a mechanical problem of the non-linear oscillations of two coupled dissimilar pendulums, which oscillate in a plane orthogonal to the principal axis of the molecule. The dynamics of such a model system are analysed. Singular points are obtained in phase space. The eigenvalues of the Jacobi matrix are calculated. The behaviour of the model system close to the singular points is described. The results are illustrated in the form of graphs of the solutions of the corresponding model equations and graphs of the trajectories of motion in configuration space.
Received 20 September 2011
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