Lower bound in energy for chaotic dynamics of ions

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 233, Issue 3, 1997, Pages 209-215

  Benisti D ^a   Ram, A K ^a   Bers, A ^a  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Chaos; Hamiltonian dynamics; Lie transform; Perturbation theory; Plasma physics; Web structure

Indexed keywords

CHAOS THEORY; CHARGED PARTICLES; PERTURBATION TECHNIQUES; STOCHASTIC SYSTEMS;

HAMILTONIAN DYNAMICS; LIE TRANSFORMS; PERTURBATION THEORY; PLASMA PHYSICS; WEB STRUCTURES;

DYNAMICS;

EID: 1442343469     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0375-9601(97)00454-4     Document Type: Article

References (14)

1. C.F.F. Karney and A. Bers, Phys. Rev. Lett. 39 (1977) 550.
2. C.F.F. Karney, Phys. Fluids 21 (1978) 1584.
3. C.F.F. Karney, Phys. Fluids 22 (1979) 2188.
4. A. Fukuyama, H. Momota, R.I. Tatani and T. Takizuka, Phys. Rev. Lett. 38 (1977) 701.
5. G.M. Zaslavsky, R.Z. Sagdeev, D.A. Usikov and A.A. Chernikov, Weak Chaos and Quasi-Regular Patterns (Cambridge University Press, 1991).
6. Ping-Kun Chia, L. Schmitz and R.W. Conn, Phys. Plasmas 3 (1996) 1545.
7. A.J. Lichtenberg and M.A. Lieberman, Regular and Chaotic Dynamics, 2nd Ed. (Springer Verlag, New York, 1992).
8. H. Pacher, C. Gormezano, W. Hess, G. Ichtchenko, R. Magne, T.-K. Nguyen, G.W. Pacher, F. Söldner, G. Tonon and J.-G. Wegrowe, in: Heating in Toroidal Plasmas, Proceedings of the 2nd Joint Grenoble-Varenna International Symposium, Como, Italy, September 3-12, 1980, eds. E. Canobbio, H.P. Eubank, G.G. Leotta, A. Malein and E. Sindoni (1980), p. 329.
9. J.L. Vago, P.M. Kintner, S. Chesney, R.L. Arnoldy, K.A. Lynch, T.E. Moore and C.J. Pollock, J. Geophys. Res. 97 (1992) 16935.
10. A.N. Kolmogorov, Dok. Akad. Nauk. SSSR 98 (1954) 527; English translation in: Stochastic Behavior in Classical and Quantum Hamiltonian Systems eds. G. Casati and J. Ford (Springer Verlag, New York, 1979).
11. A.N. Kolmogorov, Dok. Akad. Nauk. SSSR 98 (1954) 527; English translation in: Stochastic Behavior in Classical and Quantum Hamiltonian Systems eds. G. Casati and J. Ford (Springer Verlag, New York, 1979).
12. G. Benettin, L. Galgani, A. Giorgilli and J.M. Strelcyn, Nuovo Cimento 79 (1984) 201.
13. J. Cary, Phys. Rep. 79 (1981) 129.
14. A. Deprit, Celest. Mech. 1 (1969) 12.