Numerical study of Lyapunov exponents for products of correlated random matrices

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 63, Issue 2, 2001, Pages

  Yamada, Hiroaki ^a   Okabe, Tsuneyasu ^b  

^a NIIGATA UNIVERSITY   (Japan)

^b JAPAN SCIENCE AND TECHNOLOGY AGENCY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 18344396996     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.026203     Document Type: Article

References (25)

1. E. J. Heller, Phys. Rev. Lett. 53, 1515 (1984).
2. S. Sridhar and E. J. Heller, Phys. Rev. A 46, R1728 (1992);H.-J. Stöckmann, Quantum Chaos: An Introduction (Cambridge University Press, Cambridge, England, 1999).
3. C. M. Marcus et al, Phys. Rev. Lett. 69, 506 (1992);
4. Phys. Rev. Lett.J. P. Bird et al, 82, 4691 (1999).
5. P. B. Wilkinson et al, Nature (London) 380, 608 (1996).
6. P. B. Wilkinson et al, Phys. Rev. Lett. 86, 5466 (2001).
7. J. A. Buck, Fundamentals of Optical Fibers (Wiley, New York, 1995).
8. Lenses made from SELFOC glass, Nippon Sheet Glass Company Ltd., Type of lens: SLW 1.0 0.25 0.63 NC.
9. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge University Press, Cambridge, England, 1999).
10. J. U. Nöckel and A. D. Stone, Nature (London) 385, 45 (1997);
11. C. Gmachl et al, Science 280, 1556 (1998).
12. A. Shudo et al, Phys. Rev. E 49, 3748 (1994).
13. E. Ott, Chaos in Dynamical Systems (Cambridge University Press, Cambridge, England, 1993).
14. The results of this section up to and including Eq.(10) are valid for an arbitrary choice of refractive index variation (Formula presented).
15. P. B. Wilkinson et al, Phys. Rev. E (to be published).
16. B. Li and M. Robnik, J. Phys. A 27, 5509 (1994).
17. L. J. Slater, Confluent Hypergeometric Functions (Cambridge University Press, Cambridge, England, 1960)
18. W. H. Press et al, Numerical Recipes, 2nd ed. (Cambridge University Press, Cambridge, England, 1992).
19. A. Kohler, G. H. M. Killesreiter, and R. Blümel, Phys. Rev. E 56, 2691 (1997).
20. T. A. Brody, Lett. Nuovo Cimento Soc. Ital. Fis. 7, 482 (1973).
21. H. Alt et al, Phys. Rev. E 60, 2851 (1999).
22. P. Bellomo and T. Uzer, Phys. Rev. A 51, 1669 (1995).
23. P. A. Dando and T. S. Monteiro, J. Phys. B 27, 2681 (1994).
24. J. Main and G. Wunner, Phys. Rev. Lett. 82, 3038 (1999).
25. P. B. Wilkinson et al, Physica B 272, 484 (1999).