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On a nonlinear isochronous system

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Moscow University Mechanics Bulletin Aims and scope

Abstract

A system of second-order nonlinear ordinary differential equations is considered. It is shown analytically that the solutions to this system are isochronous, which is not typical for nonlinear systems. It is also shown that a periodic delta function is a limit of the solution if the amplitude tends to infinity.

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References

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119899, Russia

    V. M. Budanov

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  1. V. M. Budanov
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Additional information

Original Russian Text © V.M. Budanov, 2013, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2013, Vol. 68, No. 6, pp. 59–63.

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Budanov, V.M. On a nonlinear isochronous system. Moscow Univ. Mech. Bull. 68, 145–148 (2013). https://doi.org/10.3103/S0027133013060034

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  • DOI: https://doi.org/10.3103/S0027133013060034

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