A new analytical approach to the Duffing-harmonic oscillator

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 311, Issue 4-5, 2003, Pages 365-373

  Lim, C W ^a   Wu, B S ^b  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b JILIN UNIVERSITY   (China)

Author keywords

Analytical approximation; Duffing harmonic oscillator; Linearization

Indexed keywords

CONTROL NONLINEARITIES; LINEARIZATION; OSCILLATORS (MECHANICAL);

ANALYTICAL APPROACH; ANALYTICAL APPROXIMATION; COMPLEX NONLINEARITY; HARMONIC BALANCE METHOD; HARMONIC OSCILLATORS; METHOD OF HARMONIC BALANCES; OSCILLATION AMPLITUDE; OSCILLATION PERIODS;

HARMONIC ANALYSIS;

AMPLITUDE MODULATION; ARTICLE; MATHEMATICAL MODEL; NONLINEAR SYSTEM; OSCILLATION; OSCILLATOR; TECHNIQUE;

EID: 0038294438     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(03)00513-9     Document Type: Article

References (16)

1. J.J. Stoker, Nonlinear Vibrations, Interscience, New York, 1950.
2. T.L. Saaty, J. Bram, Nonlinear Mathematics, McGraw-Hill, New York, 1964.
3. R.E. Mickens, Oscillations in Planar Dynamic Systems, World Scientific, Singapore, 1996.
4. A.H. Nayfeh, Perturbation Methods, Wiley, New York, 1973.
5. J.A. Murdock, Perturbations: Theory and Methods, Wiley, New York, 1991.
6. B.S. Wu, H.X. Zhong, Acta Mech. 154 (2002) 121.
7. N. Krylov, N. Bogoliubov, Introduction to Nonlinear Mechanics, Princeton Univ. Press, Princeton, NJ, 1943.
8. N.N. Bogoliubov, J.A. Mitropolsky, Asymptotic Methods in the Theory of Nonlinear Oscillations, State Press for Physics and Mathematical Literature, 1963 (in Russian), English translation: Hindustan Publishing Co.
9. J.C. West, Analytical Techniques for Nonlinear Control Systems, English Univ. Press, London, 1960.
10. R.E. Mickens, J. Sound Vib. 94 (1984) 456.
11. R.E. Mickens, J. Sound Vib. 111 (1986) 515.
12. B. Delamotte, Phys. Rev. Lett. 70 (1993) 3361.
13. C.W. Lim, B.S. Wu, L.H. He, Chaos 11 (2001) 843.
14. R.E. Mickens, Il Nuovo Cimento B 101 (1988) 359.
15. R.E. Mickens, J. Sound Vib. 244 (2001) 563.
16. B.S. Wu, C.W. Lim, Y.F. Ma, Int. J. Nonlinear Mech. 38 (2002) 1037.