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Original Articles

Study of Oscillations in Non-linear Systems by Linear Differential Equations with Periodic Coefficients

Pages 509-515 | Received 15 Oct 1969, Published online: 21 Aug 2015

REFERENCES

  • Brunside, W. S. & Panton, A. W., The theory of equations, Vol. I, tenth edition (S. Chand & Co., Delhi).
  • Cosgriff, R. L., “Application of linear differential equations with periodic coefficients in the study of non-linear phenomenon”, Automatic and Remote Control, Proceedings of the First Congress of International Federation of Automatic Control Moscow, 1960.
  • Hayashi, C., “Forced oscillations in non-linear systems” (Nippon Printing & Publishing Co. Ltd., Osaka, Japan), 1953.
  • Minorsky, N., Introduction to Non-linear Mechanics, Chapter 12 (Edwards, Ann Arbour, Michigan).
  • Willems, J. L., “The stability of oscillations in non-linear networks”, IEEE Trans, on C.T., Sept. 1960.
  • Valeev, K. G. “On periodic differential equations”, J. Appl. Math. Mech., 24 (1960), 1493.

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