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Analysis of the synchronization model in an anisochronous system

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Abstract

A model system of two first-order differential equations that arises in the synchronization theory of nonlinear oscillations is investigated. Constraints on the parameters of the equations under which the synchronization is realized on every solution are found. A domain of the parameters in which the synchronization occurs only for a part of the solution set is determined.

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Authors and Affiliations

  1. Institute of Mathematics and Computing Center, Russian Academy of Sciences, ul. Chernyshevskogo 112, Ufa, Bashkortostan, 450008, Russia

    L. A. Kalyakin

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  1. L. A. Kalyakin
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Correspondence to L. A. Kalyakin.

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Original Russian Text © L.A. Kalyakin, 2010, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2010, Vol. 50, No. 8, pp. 1408–1419.

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Kalyakin, L.A. Analysis of the synchronization model in an anisochronous system. Comput. Math. and Math. Phys. 50, 1338–1349 (2010). https://doi.org/10.1134/S0965542510080063

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  • DOI: https://doi.org/10.1134/S0965542510080063

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