Exact and approximate values of the period for a "truly nonlinear" oscillator: Ẍ + x + x 1/3 = 0

Advances in Applied Mathematics and Mechanics

Volumn 1, Issue 3, 2009, Pages 383-390

  Mickens, Ronald E ^a   Wilkerson, Dorian ^a  

^a CLARK ATLANTA UNIVERSITY   (United States)

Author keywords

Nonlinear oscillations; Periodic solutions; Qualitative methods; Special functions

Indexed keywords

EID: 84867601057     PISSN: 20700733     EISSN: 20751354     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

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5. R. E. MICKENS, Mathematical Methods for the Natural and Engineering Sciences, World Scientific, London, 2004.
6. R. E. MICKENS, A generalized iteration procedure for calculating approximations to periodic solutions of "truly nonlinear oscillators", Journal of Sound and Vibration, 287 (2005), pp. 1045-1051.
7. 1/3 force oscillators, Journal of Sound and Vibration, 292 (2006), pp. 964-968.
8. S. H. STROGATZ, Nonlinear Dynamics and Chaos, Addison-Wesley, New York, 1994.
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