@article{MASLO_2002_52_1_a7,
author = {Kl{\'\i}\v{c}, Alois and Pokorn\'y, Pavel and \v{R}eh\'a\v{c}ek, Jan},
title = {Zig-zag dynamical systems and the {Baker-Campbell-Hausdorff} formula},
journal = {Mathematica slovaca},
pages = {79--97},
year = {2002},
volume = {52},
number = {1},
mrnumber = {1901016},
zbl = {1007.37009},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MASLO_2002_52_1_a7/}
}
Klíč, Alois; Pokorný, Pavel; Řeháček, Jan. Zig-zag dynamical systems and the Baker-Campbell-Hausdorff formula. Mathematica slovaca, Tome 52 (2002) no. 1, pp. 79-97. http://geodesic.mathdoc.fr/item/MASLO_2002_52_1_a7/
[1] BANYAGA A.: The Structure of Classical Diffeomorphism Groups. Math. Appl. 400, Kluwer Academic Publishers, London, 1997. | MR | Zbl
[2] BOOTHBY W. M.: An Introduction to Differentiable Manifolds and Riemannian Geometry. Academic Press, New York, 1975. | MR | Zbl
[3] BOURBAKI N.: Élements de mathématique. Fasc. 26: Groupes et algebres de Lie. Chap. I: Algebres de Lie. Actualités Sci. Indust. 1285 (2nd ed.), Hermann, Paris, 1971. (French) | MR
[4] HAMILTON R. S.: The inverse function theorem of Nash and Moser. Bull. Amer. Math. Soc. (N.S.) 7 (1982), 65-222. | MR | Zbl
[5] KLÍČ A., POKORNÝ P.: On dynamical systems generated by two alternating vector fields. Internat. J. Bifur. Chaos Appl. Sci. Engrg. 6 (1996), 2015-2030 | MR
[6] KLÍČ A., ŘEHÁČEK J.: On systems governed by two alternating vector fields. Appl. Math. 39 (1994), 57-64. | MR | Zbl
[7] MILNOR J.: Remarks on infinite dimensional Lie groups. In: Relativity, Groups and Topology II, Les Houches (1983), North Holland, Amstei dam-New Youik, 1984, pp. 1007-1057. | MR
[8] OLVER P. J.: Applications of Lie Groups to Differential Equations. Springer-Verlag, New York, 1986. | MR | Zbl
[9] PALIS J.: Vector fields generate few diffeomorphisms. Bull. Amer. Math. Soc. 80 (1974), 503-505. | MR | Zbl
[10] VARADARJAN V. S. : Lie Groups, Lie Alqebras and Their Representations. Prentice-Hall Inc., New Yersey, 1974.
[11] WOJTYNSKI W.: One-parameter subgroups and the B-C-H formula. Studia Math. 111 (1994), 163-185. | MR | Zbl