Analysis of the simple harmonic oscillator with fractional damping

Journal of Sound and Vibration

Volumn 268, Issue 4, 2003, Pages 839-842

  Mickens, R E ^a   Oyedeji, K O ^b   Rucker, S A ^a  

^a CLARK ATLANTA UNIVERSITY   (United States)

^b MOREHOUSE COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; DAMPING; DIFFERENTIAL EQUATIONS; HARMONIC ANALYSIS; INTEGRATION; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS;

SIMPLE HARMONIC OSCILLATORS (SHO);

OSCILLATORS (ELECTRONIC);

EID: 0344464727     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(03)00371-7     Document Type: Article

References (8)

1. S.H. Strogatz, Nonlinear Dynamics and Chaos, Addison-Wesley, Reading, MA, 1994.
2. R.E. Mickens, Oscillations in Planar Dynamic Systems, World Scientific, Singapore, 1996.
3. M. Farkas, Period Motions, Springer, New York, 1994.
4. D.W. Jordan, P. Smith, Nonlinear Ordinary Differential Equations, Clarendon Press, Oxford, 1987.
5. R.E. Mickens, J. Ernest Wilkins Jr., Unpublished calculations, Clark Atlanta University, Atlanta, GA, June 2002.
6. N.W. McLachlan, Ordinary Nonlinear Differential Equations in Engineering and Physical Sciences, Oxford University Press, London, 1950.
7. R.E. Mickens, A study of nonlinear oscillations in systems having non-polynomial elastic force functions, Recent Research and Developments in Sound and Vibration 1 (2002) 241-251.
8. R.E. Mickens, Fractional van der Pol equations, Journal of Sound and Vibration 259 (2003) 457-460.