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On the creation of stable periodic behavior of parametrically excited dynamical systems

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Abstract

The problem of the realization of stable periodic behavior of dynamical systems is considered. It is shown analytically that in certain cases it is possible to achieve by parametric perturbation stable periodic behavior of systems that in the autonomous case possess only unstable oscillatory or stationary regimes or are in a stable equilibrium position.

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Authors and Affiliations

  1. Moscow State University, USSR

    A. N. Deryugin, A. Yu. Loskutov & V. M. Tereshko

Authors
  1. A. N. Deryugin
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  2. A. Yu. Loskutov
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  3. V. M. Tereshko
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 104, No. 3, pp. 507–512, September, 1995.

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Deryugin, A.N., Loskutov, A.Y. & Tereshko, V.M. On the creation of stable periodic behavior of parametrically excited dynamical systems. Theor Math Phys 104, 1162–1165 (1995). https://doi.org/10.1007/BF02068747

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  • DOI: https://doi.org/10.1007/BF02068747

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