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On the problem of estimation of the number of cycles in two-dimensional quadratic systems from the viewpoint of nonlinear mechanics

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Abstract

Two-dimensional quadratic systems are considered as a Liénard equation with certain special nonlinearities. Theorems on the existence or absence of cycles are given.

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Authors and Affiliations

  1. St. Petersburg University, St. Petersburg

    G. A. Leonov

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  1. G. A. Leonov
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 1, pp. 48–57, January, 1998.

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Leonov, G.A. On the problem of estimation of the number of cycles in two-dimensional quadratic systems from the viewpoint of nonlinear mechanics. Ukr Math J 50, 55–65 (1998). https://doi.org/10.1007/BF02514688

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  • DOI: https://doi.org/10.1007/BF02514688

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