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Buffer phenomenon in systems with one and a half degrees of freedom

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Abstract

The buffer phenomenon is established for some classical mechanics problems that are described by pendulum-type equations with time-periodic small additive terms. This phenomenon is as follows: the systems under consideration can have an arbitrary fixed number of stable periodic modes if the system parameters are properly chosen.

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Authors and Affiliations

  1. Faculty of Mathematics, Yaroslavl State University, Sovetskaya ul. 14, Yaroslavl, 150000, Russia

    S. D. Glyzin & A. Yu. Kolesov

  2. Faculty of Mathematics and Mechanics, Moscow State University, Leninskie gory, Moscow, 119992, Russia

    N. Kh. Rozov

Authors
  1. S. D. Glyzin
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  2. A. Yu. Kolesov
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  3. N. Kh. Rozov
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Original Russian Text © S.D. Glyzin, A.Yu. Kolesov, N.Kh. Rozov, 2006, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2006, Vol. 46, No. 9, pp. 1582–1593.

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Glyzin, S.D., Kolesov, A.Y. & Rozov, N.K. Buffer phenomenon in systems with one and a half degrees of freedom. Comput. Math. and Math. Phys. 46, 1503–1514 (2006). https://doi.org/10.1134/S0965542506090041

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  • DOI: https://doi.org/10.1134/S0965542506090041

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