Chaos in Relativity and Cosmology

Celestial Mechanics and Dynamical Astronomy

Volumn 73, Issue 1-4, 1999, Pages 1-16

  Contopoulos, G ^a,b   Voglis, N ^b   Efthymiopoulos, C ^a,b  

^a BIOMEDICAL RESEARCH FOUNDATION   (Greece)

^b UNIVERSITY OF ATHENS   (Greece)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038689926     PISSN: 09232958     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008376523356     Document Type: Article

References (41)

1. Ablowitz, M.J., Ramani, A. and Segur, H.:1980, J.Math.Phys.,21, 715.
2. Barrow, J.D., and Levin, J.: 1998, Phys. Rev. Lett., 80, 656.
3. Belinskii, V.A. and Khalatnikov, I.M.: 1969, Sov.Phys.JETP, 29, 911.
4. Benettin, G., Cercignani, C., Galgani, L. and Giorgilli, A.: 1980, Lett. Nuovo Cim., 28, 1.
5. Bombelli, L. and Calzetta, E.: 1992, Class. Quantum Grav., 9, 2573.
6. Calzetta, E. and El Hasi, C.: 1993, Class. Quantum Grav., 10, 1825.
7. Chicone, C., Mashhoon, B. and Retzloff, D.G.: 1997,Class. Quantum Grav., 14, 699.
8. Christiansen, F., Rugh, H.H. and Rugh, S.E.: 1995, J.Phys.A, 28, 657.
9. Contopoulos, G.: 1990, Proc.R.Soc.Lond. A, 431, 183.
10. Contopoulos, G.: 1991, Proc.R.Soc.Lond. A, 435, 551.
11. Contopoulos, G., Grammaticos, B. and Ramani, A.: 1993, J.Phys.A,26, 5795.
12. Contopoulos, G., Grammaticos, B. and Ramani, A.: 1995, J.Phys.A, 28, 5313.
13. Cornish, N.J. and Gibbons, G.W.: 1997, Class. Quantum Grav., 14, 1865.
14. Cornish, N.J. and Levin, J.J.: 1997, Phys. Rev. Lett.,78, 998.
15. Cornish, N.J. and Levin, J.J.: 1998, Phys. Rev. D, 55, 7489.
16. Cornish, N.J. and Shellard, E.P.S.: 1998,Phys. Rev. Lett., 81, 3571.
17. Cushman, R. and Sniatycki, J.: 1995, Rep.Math.Phys., 36, 75.
18. Darian, B.K. and Künzle, H.P.: 1996, Class. Quantum Grav., 13, 2651.
19. Dettmann, C.P., Frankel, N.E. and Cornish, N.J.: 1994, Phys. Rev. D, 50, R618.
20. Drake, S.P., Dettmann, C.P., Frankel, N.E. and Cornish, N.J.: 1996, Phys.Rev. E,53, 1351.
21. Hobill, D., Bernstein, D., Simpkins, D. and Welge, M.: 1992, Class. Quantum Grav., 8, 1155.
22. Hobill, D., Burd, A. and Coley, A. (eds): 1994, Deterministic Chaos in General Relativity, Plenum Press, N. York.
23. Khalatnikov, I.M., Lifshitz, E.M., Khanin, K.M., Shchur, I.N. and Sinai, Ya.G.: 1985, J.Stat.Phys., 38, 97.
24. Landau, L.D., and Lifshitz, E.M.: 1971, The Classical Theory of Fields, Pergamon Press, Oxford.
25. Latifi, A., Musette, M. and Conte, R.: 1994, Phys.Lett. A,194, 83.
26. Letelier, P.S. and Vieira, W.M.: 1997,Class. Quantum Grav., 14, 1249.
27. Majumdar, S.D.: 1947, Phys. Rev.,72, 390.
28. Misner, C.M.: 1969,Phys. Rev. Lett., 22, 1071.
29. Misner, C.M., Thorne, K. and Wheeler, J.A.: 1977, Gravitation, Freeman, San Francisco.
30. Papapetrou, A.: 1947, Proc. R. Irish Acad.,51, 191.
31. Podolsky, J. and Vesely, K. : 1998, Phys. Rev. D,58, 081501.
32. Poincaré, H.: 1892, Les Méthodes Nouvelles de la Mécanique Céleste, I, Gauthier Villars, Paris.
33. Raychaudhuri, A.: 1955, Phys.Rev., 98, 1123.
34. Rugh, S.E. and Jones, B.J.T.: 1990, Phys.Lett. A,147, 353.
35. Smith, H. and Contopoulos, G.: 1996, Astron. Astrophys., 314, 795.
36. Suzuki, S. and Maeda, K.: 1997,Phys. Rev. D,55, 4848.
37. Szydlowski, M.: 1997, Gen.Rev.Grav.,29, 185.
38. Taub, A.H.: 1951,Ann.Math.,53, 472.
39. Varvoglis, H. and Papadopoulos, D.: 1992,Asfron. Astrophys.,261, 664.
40. Voglis, N. and Contopoulos, G.: 1994, J.Phys.A,27, 4899.
41. Yurtsever, U.: 1995,Phys. Rev. D,52, 3176.