@article{AIHPA_1999__70_6_461_0, author = {Gaeta, Giuseppe}, title = {Poincar\'e renormalized forms}, journal = {Annales de l'I.H.P. Physique th\'eorique}, pages = {461--514}, publisher = {Gauthier-Villars}, volume = {70}, number = {6}, year = {1999}, mrnumber = {1693592}, zbl = {0994.34024}, language = {en}, url = {http://archive.numdam.org/item/AIHPA_1999__70_6_461_0/} }
Gaeta, Giuseppe. Poincaré renormalized forms. Annales de l'I.H.P. Physique théorique, Volume 70 (1999) no. 6, pp. 461-514. http://archive.numdam.org/item/AIHPA_1999__70_6_461_0/
[1] Geometrical Methods in the Theory of Differential Equations, Springer, Berlin, 1988. | MR
,[2] Ordinary differential equations, in: D.V. Anosov and V.I. Arnold (Eds.), Encyclopaedia of Mathematical Sciences, Vol. I, Dynamical Systems I, Springer, Berlin, 1988, pp. 1-148. | MR | Zbl
and ,[3] Local Methods in Nonlinear Differential Equations, Springer, Berlin, 1989. | MR | Zbl
,[4] Nuovo Cimento B 1 (1971) 123. | MR
,[5] Comm. Math. Phys. 48 (1976) 53. | MR | Zbl
,[6] The Hamiltonian Hopf Bifurcation, Lecture Notes in Math., Vol. 1160, Springer, Berlin, 1985. | MR | Zbl
,[7] Bifurcations of singularities in volume preserving vector fields, Ph.D. Thesis, Groningen, 1979; Formal normal form theorems for vector fields and some consequences for bifurcations in the volume preserving case, in: Lecture Notes Math., Vol. 898, Springer, Berlin, 1981. | MR
,[8] Proc. Roy. Soc. Edinburgh A 108 (1988) 27. | Zbl
and ,[9] J. Diff. Eqs. 78 (1989) 33. | MR | Zbl
,[10] Perturbation theory, mp-arc 93-318.
,[11] Nuovo Cimento B 79 (1984) 201.
, and ,[12] Nonlinear Mechanics, Groups and Symmetry, Kluwer, Dordrecht, 1995. | Zbl
and ,[13] Physica D 29 (1987) 95. | Zbl
, , , and ,[14] Topics in Bifurcation Theory and Applications, World Scientific, Singapore, 1992. | MR | Zbl
and ,[15] Comm. Pure Appl. Math. 14 (1961) 187. | MR | Zbl
,[16] J. Phys. A: Math. Gen. 27 (1994) 461; 27 (1994) 7115. | Zbl
and ,[17] Quantum Mechanics, Pergamon, London, 1959. | Zbl
and ,[18] J. Appl. Math. Mech. 38 (1974) 788. | MR | Zbl
,[19] J. Math. Anal. Appl. 183 (1994) 571; see also , Trans. Moscow Math. Soc. 25 (1971) 131; 26 (1971) 199. | MR | Zbl
and ,[20] J. Math. Anal. Appl. 199 (1996) 243; see also J. Phys. A: Math. Gen. 28 (1995) L179; 30 (1997) 6021; Nuovo Cim. B 113 (1998) 1425. | MR | Zbl
,[21] Lectures on Celestial Mechanics, Springer, Berlin, 1955. (Reprinted in Classics in Mathematics, 1995.) | MR
and ,[22] Physica D 74 (1994) 181.
and ,[23] Symmetry and perturbation theory for dynamical systems, Preprint IHES-P-97-12 (1997); revised and enlarged version to appear in Lect. Notes Phys., Springer. | MR
and ,[24] Russ. Math. Surveys 33 (1978) 107; Funct. Anal. Appl. 20 (1986) 253.
,[25] Singularities and Groups in Bifurcation Theory, Vol. II, Springer, New York, 1988. | MR | Zbl
, and ,