The law of the dependence of the period of non-linear oscillations on a single parameter

The law of the dependence of the period of non-linear oscillations on a single parameter

Single-frequency oscillations of a non-linear autonomous system are considered. It is shown that the oscillation period usually depends on only a single parameter, both in the case of a reversible mechanical system, which allows of first integrals, and in the case of a system of general form.

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Veröffentlicht in:Journal of applied mathematics and mechanics 2011, Vol.75 (3), p.304-307
1. Verfasser: Tkhai, V.N.
Format: Artikel
Sprache:eng
Schlagworte:
Autonomous
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Integrals
Lasers
Law
Mathematical analysis
Mechanical systems
Nonlinearity
Optics
Oscillations
Physics
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Beschreibung
Zusammenfassung:Single-frequency oscillations of a non-linear autonomous system are considered. It is shown that the oscillation period usually depends on only a single parameter, both in the case of a reversible mechanical system, which allows of first integrals, and in the case of a system of general form.
ISSN:0021-8928
0021-8928
DOI:10.1016/j.jappmathmech.2011.07.007