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Phase-locking for mathieu type vector fields on a torus

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Functional Analysis and Its Applications Aims and scope

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Literature Cited

  1. V. I. Arnol'd, "Remarks on the perturbation theory of Mathieu-type problems," Russ. Math. Surv.,38, No. 4, 215–233 (1983).

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  2. C. Baesens, J. Guckenheimer, S. Kim, and R. S. MacKay, "Three coupled oscillators: mode-locking, global bifurcations and toroidal chaos," Physica D,49, 387–475 (1991).

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  3. O. G. Galkin, "Resonance regions for Mathieu type dynamical systems on a torus," Physica D,39, 287–298 (1989).

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  4. S. Kim, R. S. MacKay, and J. Guckenheimer, "Resonance regions for families of torus maps," Nonlinearity,2, 391–404 (1989).

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Authors
  1. O. G. Galkin
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Additional information

N. É. Bauman Moscow State Technical University. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 26, No. 1, pp. 1–8, January–March, 1992.

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Galkin, O.G. Phase-locking for mathieu type vector fields on a torus. Funct Anal Its Appl 26, 1–6 (1992). https://doi.org/10.1007/BF01077066

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  • DOI: https://doi.org/10.1007/BF01077066

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