E-Prints Complutense

E. Coddington, N. Levinson, Theory of Ordinary Differential

Equations, McGraw–Hill, New York, 1990;

P. Hartmann, Ordinary Differential Equations, Wiley, New

York, 1964;

S. Wiggins, Introduction to Applied Nonlinear Dynamical

Systems and Chaos, Springer, New York, 1990.

J. Palis, W. Melo, Geometrical Theory of Dynamical Systems,

Springer, Berlin, 1977.

A. Parusinski, P. Pragarz, J. Algebraic Geom. 4 (1995) 337;

S. Lenci, R. Lupini, Z. Angew. Math. Phys. 47 (1996) 97;

R. García, A. Nemethy, Compositio Math. 100 (1996) 205;

A. Nemethy, J. London Math. Soc. 59 (2) (1999) 922.

G. Aitken, Mathematical Methods for Physicists, Academic

Press, Orlando, 1985.

J. Eckmann, Rev. Mod. Phys. 53 (1981) 643;

E. Ott, Rev. Mod. Phys. 53 (1981) 655;

T. Talor, J. Wein, Phys. Rev. A 24 (1981) 2157;

C. Sparrow, The Lorenz Equation: Bifurcations Chaos and

Strange Attractors, Springer-Verlag, Berlin, 1982;

J. Eckmann, Rev. Mod. Phys. 57 (1985) 617;

I. Hovelin, F. Verhulst, Physica D 44 (1990) 397;

T. Sen, M. Tabor, Physica D 44 (1990) 313;

B. Hassard, J. Zhang, S. Hasting, W. Troy, Appl. Math. Lett. 7 (1994) 79.

V. Arnold, CRAS (Paris) 261 (1965) 17;

M. Henon, CRAS (Paris) 262 (1966) 312;

T. Dombre, V. Frisch, M. Henon, A. Mehr, A. Soward, J. Fluid

Mech. 167 (1986) 353;

O. Troshkin, Russian Math. Surveys 43 (1988) 153;

Z. Yoshida, J. Math. Phys. 33 (1992) 1252;

J. Sprott, Phys. Rev. E 50 (1990) 647;

J. Sprott, Phys. Lett. A 228 (1997) 271;

J. Sprott, Amer. J. Phys. 65 (1997) 537;

J. Sprott, Amer. J. Phys. 68 (2000) 758;

S. Zighin, J. Funct. Anal. Appl. 30 (1996) 137;

W. Arnold, B. Khesin, Topological Methods in Hydrodynamics,

Springer, New York, 1998;

A. Gilbert, S. Children, Phys. Rev. Lett. 65 (1990) 2133.

W. Hoover, Phys. Rev. E 51 (1995) 759.

S. Linz, Am. J. Phys. 65 (1997) 523;

S. Linz, Phys. Rev. E 58 (1998) 7151;

S. Linz, Phys. Lett. A 259 (1994) 240;

R. Eichorn, S. Linz, P. Hänggi, Phys. Lett. A 275 (2000) 204.

H. Gottlieb, Am. J. Phys. 64 (1996) 525;

H. Gottlieb, Am. J. Phys. 66 (1998) 903.

Z. Fu, J. Heidel, Nonlinearity 10 (1997) 1289.

J. Strelcyn, S. Wojciechowski, Phys. Lett. A 133 (1998) 207.

[12] R. Abraham, J. Marsden, Foundations of Mechanics, Benjamin, London, 1978.

V. Arnold, Singularidades de Cáusticas y Frentes de Onda,

Rubiños, Madrid, 2000.

W. Panosky, M. Phillips, Classical Electricity and Magnetism, Addison–Wesley, Reading, MA, 1962.

R. Palais, A Global Formulation of the Lie Theory of Transformation Groups, in: Memoirs American Mathematical Society, Vol. 22, American Mathematical Society, Providence, RI, 1957.

C. Camacho, A.L. Neto, Geometric Theory of Foliations,

Birkhäuser, Boston, 1985.

G. Hector, U. Hirsch, Introduction to the Geometry of Foliations, Vieweg, Braunschweig, 1986;

A. Haefliger, Colloque de Topologie de Strasbourg, 1955;

A. Haefliger, Commun. Math. Helv. 32 (1958) 249.

C. Camacho, Bol. Soc. Basil. Mat. 5 (1) (1974) 11.

S. Chandrasekhar, P. Krendall, Astrophys. J. 126 (1957) 457;

H. Moses, SIAM J. Appl. Math. 21 (1971) 114;

H. Moses, J. Math. Phys. 25 (1984) 1905;

P. Constantin, A. Majda, Commun.Math.Phys.115(1988) 435;

F.G. Gascón, D. Peralta, Phys. Lett. A 292 (2001) 75.

Y. Choquet-Bruhat, C. de Witt, M. Dillard, Analysis, Manifolds and Physics, North-Holland, Amsterdam, 1977