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Biharmonic oscillations in piecewise-linear systems

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Literature Cited

  1. V. I. Babitskii and M. Z. Kolovskii, “Investigation of oscillations of a linear system with limiters by exact and by approximate methods,” Mashinovedenie, No. 4 (1967).

  2. N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations, Gordon and Breach (1962).

  3. A. S. Vladimirov and V. M. Rogachev, “Biharmonic linearization of nonlinear systems for a rational ratio of the oscillation frequencies,” Uch. Zap. Permsk. Gos. Univ., No. 257 (1972).

  4. I. S. Gradshtein and I. M. Ryzhik, Tables of Integrals, Sums, Series, and Products, Academic Press (1966).

  5. S. M. Fedorova (editor), Methods of Synthesis of Nonlinear Automatic-Control Systems [in Russian], Mashinostroenie, Moscow (1970).

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  6. M. V. Mironov, “Use of the Hamilton-Ostrogradskii principle in problems of the theory of nonlinear oscillations,” Prikl. Mat. Mekh.,31, No. 6 (1967).

  7. M. V. Mironov, “A version of the theory of uniform distribution and its application to oscillation theory,” Prikl. Mat. Mekh.,32, No. 1 (1968).

  8. V. M. Rogachev, “Polyharmonic oscillations of complex nonlinear systems,” Prikl. Mekh.,10, No. 1 (1974).

  9. I. M. Sidorov and I. P. Korotaeva, “Investigation of nonlinear automatic-control systems in the case of biharmonic processes,” Izv. Akad. Nauk SSSR, Tekh. Kibernetika, No. 5 (1969).

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Northwestern Polytechnic Correspondence Institute, Leningrad. Translated from Prikladnaya Mekhanika, Vol. 11, No. 7, pp. 30–34, July 1975.

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Rogachev, V.M. Biharmonic oscillations in piecewise-linear systems. Soviet Applied Mechanics 11, 710–713 (1975). https://doi.org/10.1007/BF00884837

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  • DOI: https://doi.org/10.1007/BF00884837

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