Passages through resonance in weakly nonlinear systems

IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)

Volumn 62, Issue 1, 1999, Pages 45-60

  Skinner, L A ^a  

^a UNIVERSITY OF WISCONSIN MILWAUKEE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CALCULATIONS; NONLINEAR CONTROL SYSTEMS; OSCILLATORS (ELECTRONIC); PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; RESONANCE;

HARMONIC OSCILLATORS; RESONANCE PASSAGE;

NONLINEAR EQUATIONS;

EID: 0032678165     PISSN: 02724960     EISSN: None     Source Type: Journal    
DOI: 10.1093/imamat/62.1.45     Document Type: Article

References (6)

1. ABLOWITZ, M. J., FUNK, B. A., & NEWELL, A. C. 1973 Semi-resonant interactions and frequency dividers. Studies in Appl. Math. 52, 51-74.
2. BOSLEY, D. L. & KEVORKIAN, J. 1992 Adialatic invariance and transient resonance in very slowly varying oscillatory hamiltonian systems. SIAM J. Appl. Math. 52, 494-527.
3. KEVORKIAN, J. 1971 Passage through resonance for a one-dimensional oscillator with slowly varying frequency. SIAM J. Appl. Math. 20, 364-373.
4. KEVORKIAN, J. 1980 Resonance in a weakly nonlinear system with slowly varying parameters. Studies in Appl. Math. 62, 23-67.
5. KEVORKIAN, J. 1987 Perturbation techniques for oscillatory systems with slowly varying coefficients. SIAM Rev. 29, 391-461.
6. SKINNER, L. A. 1997 Stationary phase theory and passage through resonance. J. Math. Anal. Appl. 205, 196-196.