Strongly non-linear oscillators with slowly varying parameters

Journal of Sound and Vibration

Volumn 275, Issue 1-2, 2004, Pages 241-248

  Cai, Jianping ^a   Li, Y P ^b  

^a Zhangzhou Teachers College   (China)

^b UNIVERSITY OF MACAU   (Macao)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; EQUATIONS OF MOTION; FREE ELECTRON LASERS; MATHEMATICAL TRANSFORMATIONS; NONLINEAR SYSTEMS; NUMERICAL METHODS; PENDULUMS; POLYNOMIALS;

ELLIPTIC FUNCTIONS; MULTIPLE SCALES METHOD; NONLINEAR OSCILLATIONS; VAN DER POL OSCILLATORS;

OSCILLATORS (MECHANICAL);

EID: 3042561901     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jsv.2003.06.002     Document Type: Article

References (7)

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2. Cveticanin L. Adiabatic invariants of quasi-pure cubic oscillators. Journal of Sound and Vibration. 183(5):1995;881-888.
3. Kuzmak G.Z. Asymptotic solutions of nonlinear second order differential equations with variable coefficients. Pure Math Manuscript. 23:1959;515-526.
4. Luke J.C. A perturbation method for nonlinear dispersive wave problem. Proceedings of the Royal Society of London Series A. 292:1966;403-412.
5. Kevorkian J., Li Y.P. Explicit approximations for strictly nonlinear oscillators with slowly varying parameters with applications to free-electron lasers. Studies in Applied Mathematics. 78(2):1988;111-165.
6. Kevorkian J. Perturbation techniques for oscillatory systems with slowly varying coefficients. SIAM Review. 29:1987;391-461.
7. Y.P. Li, Free Electron Lasers with Variable Parameter Wigglers, a Strictly Nonlinear Oscillator with Slowly Varying Parameters, Ph.D. Dissertation, University of Washington, Seattle, 1987.