On the dynamical properties of a Fermi accelerator model

Physica A: Statistical Mechanics and its Applications

Volumn 331, Issue 3-4, 2004, Pages 435-447

  Leonel, Edson D ^a   Da Silva, J Kamphorst Leal ^a   Kamphorst, Sylvie O ^a  

^a FEDERAL UNIVERSITY OF MINAS GERAIS   (Brazil)

Author keywords

Chaos; Fermi accelerator; Lyapunov exponent

Indexed keywords

CHAOS THEORY; FERMIONS; LYAPUNOV METHODS; PERTURBATION TECHNIQUES; QUANTUM THEORY;

LYAPUNOV EXPONENTS;

PARTICLE ACCELERATORS;

EID: 0242691051     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2003.09.027     Document Type: Article

References (19)

1. Fermi E. Phys. Rev. 75(6):1949;1169-1174.
2. S. Ulam, Proceedings of the Fourth Berkeley Symposium on Math, Statistics and Probability, University of California Press, Berkeley, 1961, Vol. 3, p. 315.
3. Karner G. J. Stat. Phys. 77(3-4):1994;867-879.
4. Krüger T., Pustyl'nikov L.D., Troubetzkoy S.E. Nonlinearity. 8:1995;397-410.
5. Lichtenberg A.J., Lieberman M.A., Cohen R.H. Physica D. 1:1980;291.
6. Loskutov A.Y., Ryabov A.B., Akinshin L.G. J. Exp. Theor. Phys. 89:1999;966-974.
7. Luna-Acosta G.A., Orellana-Rivadeneyra G., Mendoza-Galván A., Jung C. Chaos Soliton Fract. 12:2001;349-363.
8. Pustyl'nikov L.D. Theor. Math. Phys. 57:1983;1035-1038 Pustyl'nikov L.D. Sov. Math. Dokl. 35(1):1987;88-92 L.D. Pustyl'nikov, Russ. Acad. Sci. Sb. Math. 82 1995 1, 231-241.
9. Pustyl'nikov L.D. Theor. Math. Phys. 57:1983;1035-1038 Pustyl'nikov L.D. Sov. Math. Dokl. 35(1):1987;88-92 L.D. Pustyl'nikov, Russ. Acad. Sci. Sb. Math. 82 1995 1, 231-241.
10. Pustyl'nikov L.D. Theor. Math. Phys. 57:1983;1035-1038 Pustyl'nikov L.D. Sov. Math. Dokl. 35(1):1987;88-92 L.D. Pustyl'nikov, Russ. Acad. Sci. Sb. Math. 82 1995 1, 231-241.
11. Zaslavskii G.M., Chirikov B.V. Dokl. Akad. Nauk. SSSR. 159(2):1964;306.
12. Pieranski P., Kowalik Z., Franaszek M. J. Phys - Paris. 46(5):1985;681-686.
13. Wiesenfeld K., Tufillaro N.B. Physica D. 26:1987;321-335.
14. Luna-Acosta G.A. Phys. Rev. A. 42:1990;7155-7162.
15. Lieberman M.A., Lichtenberg A.J. Phys. Rev. A. 5:1972;1852.
16. R. Douady, Applications du théorème des tores invariants, Thèse de 3ème Cycle, University of Paris VII, 1982.
17. A.J. Lichtenberg, M.A. Lieberman, Regular and Chaotic Dynamics, Appl. Math. Sci., Vol. 38, Springer, New York, 1992.
18. Oliffson Kamphorst S., Pinto de Carvalho S. Nonlinearity. 12:1999;1363-1371.
19. Eckmann J.-P., Ruelle D. Rev. Mod. Phys. 57:1985;617.