Continuous iteration of dynamical maps

Journal of Mathematical Physics

Volumn 39, Issue 10, 1998, Pages 5324-5336

  Aldrovandi, R ^a   Freitas, L P ^a  

^a SÃO PAULO STATE UNIVERSITY UNESP   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032332160     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.532574     Document Type: Article

References (17)

1. J. L. McCauley, Classical Mechanics (Cambridge University Press, Cambridge, 1997).
2. See for instance V. I. Arnold, Les Méthodes Mathématiques de la Méchanique Classique (MIR, Moscow, 1976).
3. See for instance S. N. Rasband, Chaotic Dynamics of Nonlinear Systems (Wiley, New York, 1989).
4. P. Henrici, Applied and Computational Complex Analysis (Wiley, New York, 1974).
5. L. Comtet, Advanced Combinatorics (Reidel, Dordrecht, 1974), whose notations we have adopted.
6. R. Aldrovandi and I. Monte Lima, J. Phys. A 13, 3685 (1980); Astrophys. Space Sci. 90, 179 (1983).
7. R. Aldrovandi and I. Monte Lima, J. Phys. A 13, 3685 (1980); Astrophys. Space Sci. 90, 179 (1983).
8. See F. R. Gantmacher, The Theory of Matrices (Chelsea, New York, 1990), Vol. I. The simple treatment sketched here holds only for matrices with all eigenvalues distinct.
9. D. K. Faddeev and V. N. Faddeeva, Computational Methods of Linear Algebra (Freeman, San Francisco, 1963).
10. See for instance R. Aldrovandi and J. G. Pereira, An Introduction to Geometrical Physics (World Scientific, Singapore, 1995).
11. See Ref. 5, Chap. II.3.
12. A. Kirillov, Élements de la Théorie des Représentations (MIR, Moscow, 1974); O. Bratelli and D. W. Robinson, Operator Algebras and Quantum Statistical Mechanics I (Springer, New York, 1979).
13. A. Kirillov, Élements de la Théorie des Représentations (MIR, Moscow, 1974); O. Bratelli and D. W. Robinson, Operator Algebras and Quantum Statistical Mechanics I (Springer, New York, 1979).
14. U. Frisch, Turbulence (Cambridge University Press, Cambridge, 1996).
15. T. J. Rivlin, The Chebyshev Polynomials (Wiley, New York, 1974).
16. See, for example, R. Balescu, Equilibrium and Nonequilibrium Statistical Mechanics (Wiley, New York, 1975) (appendix).
17. A. Connes, Noncommulative Geometry (Academic, London, 1994).