Perturbation method based on integrating vectors and multiple scales

SIAM Journal on Applied Mathematics

Volumn 59, Issue 4, 1999, Pages 1444-1467

  Van Horssen, W T ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ORDINARY DIFFERENTIAL EQUATIONS; VECTORS;

INTEGRATING FACTORS; MATHIEU EQUATION; VAN DER POL EQUATION;

PERTURBATION TECHNIQUES;

EID: 0032662444     PISSN: 00361399     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036139997326867     Document Type: Article

References (7)

1. W.T. VAN HORSSEN, On integrating factors for ordinary differential equations, Nieuw Arch. Wisk. (4), 15 (1997), pp. 15-26.
2. W.T. VAN HORSSEN, A perturbation method based on integrating factors, SIAM J. Appl. Math., 59 (1999), pp. 1427-1443.
3. J. KEVORKIAN AND J.D. COLE, Multiple Scale and Singular Perturbation Methods, Appl. Math. Sci. 114, Springer-Verlag, New York, 1996.
4. J.A. MURDOCK, Perturbations, Theory and Methods, John Wiley & Sons, New York, 1991.
5. A.H. NAYFEH AND D.T. MOOK, Nonlinear Oscillations, John Wiley & Sons, New York, 1979.
6. J.A. SANDERS, Asymptotic approximations and extension of time-scales, SIAM J. Math. Anal., 11 (1980), pp. 758-770.
7. J.A. SANDERS AND F. VERHULST, Averaging Methods in Nonlinear Dynamical Systems, Appl. Math. Sci. 59, Springer-Verlag, New York, 1985.