Investigation of the properties of the period for the nonlinear oscillator ẍ + (1 + ẋ2)x = 0

Journal of Sound and Vibration

Volumn 292, Issue 3-5, 2006, Pages 1031-1035

  Mickens, Ronald E ^a  

^a CLARK ATLANTA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; MATHEMATICAL MODELS;

ANGULAR FREQUENCIES; NONLINEAR OSCILLATORS;

OSCILLATORS (MECHANICAL);

EID: 33644599721     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2005.09.012     Document Type: Article

References (7)

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2. R.E. Mickens Oscillations in Planar Dynamic Systems 1996 World Scientific Singapore
3. R.E. Mickens Iteration procedure for determining approximate solutions to non-linear oscillator equations Journal of Sound and Vibration 116 1987 185 187
4. R.E. Mickens, A generalized iteration procedure for calculating approximations to periodic solutions of "truly non-linear oscillators", Journal of Sound and Vibration 287 (2005) 1045-1051.
5. J. Beatty, and R.E. Mickens A qualitative study of the solutions to the differential equation ẍ + (1 + x ̇ 2 ) = 0 Journal of Sound and Vibration 283 2005 475 477
6. H.B. Dwight Tables of Integrals and Other Mathematical Data 1961 MacMillan New York
7. A.E. Taylor, and W.R. Mann Advanced Calculus third ed. 1983 Wiley New York