Singular normal form for a quasilinear ordinary differential equation

Nonlinear Analysis, Theory, Methods and Applications

Volumn 30, Issue 8, 1997, Pages 4973-4978

  Sadov, Sergey ^a  

^a KELDYSH INSTITUTE OF APPLIED MATHEMATICS   (Russian Federation)

Author keywords

Averaging; Newton polygon; Normal form; Periodic solutions; Singular perturbations

Indexed keywords

EID: 0040301023     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(96)00286-6     Document Type: Article

References (9)

1. BELETSKII V.V., Motion of an Artificial Satellite about Its Center of Mass, NASA TT F-429, pp. 257-261 (1966).
2. CHERNOUS'KO F.L., Resonance Phenomena in the Motion of a Satellite Relative to Its Mass Center, USSR Computational Mathematics and Mathematical Phys. 3, 699-713 (1964).
3. BRUNO A.D., Local Methods in Nonlinear Differential Equations. Springer, New York (1989).
4. BRUNO A.D. & PETROVICH V.Yu., Regularization of satellite oscillations on a very elongated orbit, Preprint Keldysh Inst. of Appl. Math. (KIAM) 4 (1994).
5. BRUNO A.D. & VARIN V.P., First/second limit problem for the satellite oscillation equation, Preprint KIAM 124/128 (1995).
6. SADOV S.Yu., Coefficients of the averaged equation of satellite oscillations, Preprint KIAM 27 (1995).
7. SADOV S,Yu., Normal form of the satellite oscillation equation in the singular case, Math. Notes 58:5, 1234-1237 (1995).
8. SADOV S.Yu., Higher order approximations in the averaging method for the equation of planar satellite oscillations, Preprint KIAM 48 (1996).
9. SADOV S.Yu., Analysis of the function that determines the rotation stability of almost symmetric satellite, Preprint KIAM 84 (1994).