On the stability of motion of N-body systems: The effect of the variation of particle number, softening and rotation

Astronomy and Astrophysics

Volumn 331, Issue 2, 1998, Pages 782-792

  El Zant, A A ^a,b  

^a UNIVERSITY OF SUSSEX   (United Kingdom)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

Author keywords

Galaxies: evolution; Galaxies: kinematics and dynamics; Stellar dynamics

Indexed keywords

EID: 0042756627     PISSN: 00046361     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (44)

1. Aarseth S.J., 1996, Small-N systems. In: Benz W., Barnes J., Müller E., Norman M.L. (eds.) Computational Astrophysics: gas dynamics and particle methods
2. Aarseth S.J., Hènon M., Wielen R., 1974, A&A 37, 83
3. Ahmad A., Cohen L., 1973, Jour. Comput. Phys. 12, 389
4. Alexseev V.M, Yacobson V.M., 1981, Pbys. Rep. 75, 287
5. Anosov D.V., 1967, Geodesic Flows on Closed Riemann Manifolds with Negative Curvanire. Proceedings of the Steklov Institute of Mathematics: 90
6. Barnes J. E., Hut P., 1989, ApJ 70, 389
7. Binney J.J. & Tremaine S., 1987, Galactic dynamics. Princeton Univ. Press, Princeton (BT)
8. Braun W., Hepp K., 1977, Commun. Math. Phys. 56, 101
9. Cerruti-Sola M., Pettini M., 1995, Phys. Rev. E51,53
10. Chandrasekhar S., 1942, Principles of Stellar Dynamics. Univ. of Chicago Press. Chicago. Reprinted by Dover Publications, New York in 1960
11. Chirikov B.V., 1979, Phys. Rep 52, 265
12. hirikov B. V., 1994, Linear and Nonlinear dynamical chaos. Lectures at the International Summer School on Nonlinear Dynamics and Chaos. Ljubljana, Slovenia, chao-dyn/9705003
13. E-Zant A.A., 1996a, A&A 326, 113
14. El-Zant A.A., 1996b, Stability of motion of N-body gravitational systems. In: Chaos in Gravitational N-body Systems, Muzzio J.C. (ed). Kluwer
15. El-Zant A.A., 1996c, Ph.D. Thesis, University of Sussex
16. El-Zant A.A., Gurzadyan V.G., 1997, Submitted
17. El-Zant A.A., 1997, submitted
18. El-Zant A.A., Goodwin S.P., 1997, Ongoing work
19. Goodman J., Heggie D.C., Hut P., 1993, ApJ 415, 715
20. Gouda N., Tschuchiya T., Konishi T., 1994, Lyapunov analysis of stable chaos in self-gravitating systems. In: Gurzadyan V.G., Pfenniger D. (eds.) Ergodic Concepts in Stellar Dynamics, Lecture Notes in Physics 430, Springer Verlag, New York
21. Gurzadyan V.G., Kocharyan A.A., 1987, Ap&SS 135, 307
22. Gurzadyan V.G., Sawidy G.K., 1984, Sov. Phys. Dokl. 29, 520
23. Gurzadyan V.G., Savvidy G.K., 1986, A&A 160, 203
24. Heggie D.C., Mathieu R.D., 1987, In: Hut P., McMillan S. (eds.) The Use of Supercomputers in Stellar Dynamics. Lecture Notes in Physics 267 Springer Verlag, New York
25. Kandrup H.E., 1989, Phys Letters A140,97
26. Kandrup H.E., 1990a, ApJ 364, 420
27. Kandrup H.E., 1990b, Physica A169, 73
28. Kandrup H.E., 1994, invited talk at seventh Marcel Grossman meeting July 1994 (astro-ph/9410091)
29. Kandrup H.E., Mahon M.E., Smith H., 1994, ApJ 428, 458
30. Lichienberg A.J., Lieberman M.A., 1983, Regular and Stochastic Motion. Springer Verlag, New York (LL)
31. McCauley J.L., 1993, Chaos, dynamics and fractals: an algorithmic approach. Cambridge Univ. press, Cambridge
32. Meiss J.D., 1987, Resonances fill stochastic phase space. In: Bucher J.R., Eichhorn H. (eds.) Chaotic Phenomena in Astrophysics, Annals of the New York Academy of Sciences 497, P. 83
33. Merritt D., Valluri M., 1996, ApJ 471, 82
34. Miller R.H., 1964, ApJ 140, 250
35. Miller, 1994, Core motion and global chaotic oscillations. In: Gurzadyan V.G., Pfenniger D. (eds.) Ergodic Concepts in Stellar Dynamics, Lecture Notes in Physics 430, Springer Verlag, New York
36. Palmer P.L., 1994, Stability of Collisionless Systems: mechanisms for the dynamical structure of galaxies. Kluwer, Dortrecht
37. Pesin Ya.B., 1989, General theory of smooth hyperbolic dynamical systems. In: Sinai Ya.G. (ed) Dynamical Systems II, Ergodic theory. Springer Verlag, Berlin
38. Pettini M., 1993, Phys Rev. E47,828
39. Pfenniger D., 1986, A&A 165, 74
40. Ruelle D., 1989, Elements of Differentiable Dynamics and Bifurcation Theory. Academic, Boston
41. Saslaw W.C., 1985, Gravitational Physics of Stellar and Galactic Systems. Cambridge University press, Cambridge
42. Shlesinger M.F., Zaslavsky G.M., Klafter J., 1993, Nature 363, 31
43. Spohn H., 1980, Rev. Mod. Phys. 52, 569
44. Suto Y., 1991, PASJ 43, L9