Hamiltonian dynamics on the symplectic extended phase space for autonomous and non-autonomous systems

Journal of Physics A: Mathematical and General

Volumn 38, Issue 6, 2005, Pages 1257-1278

  Struckmeier, Jürgen ^a  

^a GSI HELMHOLTZZENTRUM FÜR SCHWERIONENFORSCHUNG GMBH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 24144497995     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/38/6/006     Document Type: Article

References (28)

1. Abraham R and Marsden J E 1978 Foundations of Mechanics 2nd edn (Boulder, CO: Westview Press)
2. Arnold VI 1989 Mathematical Methods of Classical Mechanics 2nd edn (New York: Springer)
3. Asorey M, Cariñena J F and Ibort L A 1983 J. Math. Phys. 24 2745
4. Cariñena J F and Ibort L A 1987 Nuovo Cimenta 98 172
5. Cariñena J F, Ibort L A and Lacomba E A 1988 Celes. Mech. 42 201-13
6. Frankel Th 2001 The Geometry of Physics (Cambridge: Cambridge University Press)
7. Gotay M J 1982 Proc. Am. Math. Soc. 84 111
8. Gotay M J, Isenberg J, Marsden J E and Montgomery R 1997 Momentum Maps and Classical Relativistic Fields: Part I. Covariant Field Theory online at http://www.math.hawaii.edu/~gotay/GIMMsyI.pdf
9. José J V and Saletan E J 1998 Classical Dynamics (Cambridge: Cambridge University Press)
10. Kuwabara R 1984 Rep. Math. Phys. 19 27-38
11. Lanczos C 1949 The Variational Principles of Mechanics (Toronto, Ontario: University of Toronto Press) Reprint 1986 4th edn (New York: Dover Publications)
12. Leach P G L 1977 J. Math. Phys. 18 1608
13. Leach P G L 1978 SIAM J. Appl. Math. 34 496
14. Lichtenberg A J and Lieberman M A 1992 Regular and Chaotic Motion (New York: Springer)
15. Marsden J E and Ratiu T S 1999 Introduction to Mechanics and Symmetry (New York: Springer)
16. Siegel C L and Moser J K 1971 Lectures on Celestial Mechanics (Berlin: Springer)
17. Sorge H, Stöcker H and Greiner W 1989 Nucl. Phys. A 498 567c
18. Stiefel E L and Scheifele G 1971 Linear and Regular Celestial Mechanics (Berlin: Springer)
19. Struckmeier J and Riedel C 2001 Phys. Rev. E 64 026503
20. Struckmeier J and Riedel C 2002a Ann. Phys. Lpz. 11 15-38
21. Struckmeier J and Riedel C 2002b Phys. Rev. E 66 066605
22. Struckmeier J 2005 'Energy-second-moment map' analysis as an approach to estimating the irregularity of Hamiltonian systems (to be published)
23. Stump D R 1998 J. Math. Phys. 39 3661
24. Synge J L 1960 Encyclopedia of Physics vol 3/1 ed S Flügge (Berlin: Springer)
25. Szebehely V 1967 Theory of Orbits (New York: Academic Press)
26. Thirring W 1977 Lehrbuch der Mathematischen Physik (Wien: Springer)
27. Tsiganov A V 2000 J. Phys. A: Math. Gen. 33 4169-82
28. Wodnar K 1995 Symplectic mappings and Hamiltonian systems Perturbation Theory and Chaos in Nonlinear Dynamics With Emphasis to Celestial Mechanics ed J Hagel, M Cunha and R Dvorak (Portugal: Universidade da Madeira, Funchal)