Structure and convergence of poincaré-like normal forms

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

Volumn 233, Issue 3, 1997, Pages 184-192

  Louies, S ^a   Brenig, L ^a  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

Author keywords

Non linear; Normal forms; Ordinary differential equations

Indexed keywords

FINITE DOMAINS; NON LINEAR; NON-RESONANT SYSTEMS; NONLOCAL; NORMAL FORM; POINCARE; SERIES EXPANSION;

ORDINARY DIFFERENTIAL EQUATIONS;

EID: 0001270950     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(97)00469-6     Document Type: Article

References (13)

1. J. Guckenheimer and P. Holmes, Non-linear oscillations, dynamical systems, and bifurcations of vector fields (Springer, Berlin, 1983).
2. V.I. Arnold and Y.S. Ilyaschenko, Ordinary differential equations, in dynamical systems I, eds. D.V. Anosov and V.I. Arnold (Springer, Berlin, 1988).
3. M. Peschel and W. Mende, The predator-prey model (Springer, Berlin, 1986).
4. L. Brenig and A. Goriely, Normal forms and Painlevé analysis, in: Computer algebra and differential equations, London Mathematical Society Lecture Notes Series (Cambridge University Press, Cambridge, 1994).
5. L. Brenig, Phys. Lett. A 133 (1988) 378.
6. B. Hernández-Bermejo and V. Fairén, Phys. Lett. A 206 (1995) 31.
7. R.M. May, Stability and complexity in model ecosystems (Princeton University Press, Princeton, 1973).
8. T. Carleman, Ark. Mat. Astron. Fyz. 228 (1931) 63.
9. L. Brenig and V. Fairén, J. Math. Phys. 22 (1981) 649.
10. B.C. Carlson, Special functions of applied mathematics (Academic Press, New York, 1977).
11. S. Louies and L. Brenig, in preparation.
12. T.C. Bountis et al., J. Math. Phys. 27 (1986) 1215.
13. L. Reid, Phys. Lett. A 103 (1984) 403.