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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2013, Number 6, Pages 59–63
(Mi vmumm455)
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This article is cited in 5 scientific papers (total in 5 papers)
Short notes
On a nonlinear isochronous system
V. M. Budanov Lomonosov Moscow State University, Institute of Mechanics
Abstract:
A system of nonlinear ordinal differential equations of second order is considered. It is shown analytically that the solutions of this system are isochronous, which is not characteristic for nonlinear systems. It is also shown that the periodic delta-function is a limiting case for the solution if the amplitude tends to infinity.
Key words:
nonlinear system, isochronous oscillations.
Received: 13.06.2012
Citation:
V. M. Budanov, “On a nonlinear isochronous system”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2013, no. 6, 59–63; Moscow University Mechanics Bulletin, 68:6 (2013), 145–148
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https://www.mathnet.ru/eng/vmumm455 https://www.mathnet.ru/eng/vmumm/y2013/i6/p59
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Abstract page: | 144 | Full-text PDF : | 64 | References: | 31 |
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