Peeping at chaos: Nondestructive monitoring of chaotic systems by measuring long-time escape rates

EPL

Volumn 80, Issue 4, 2007, Pages

  Bunimovich, L A ^a   Dettmann, C P ^b  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 79051471299     PISSN: 02955075     EISSN: 12864854     Source Type: Journal    
DOI: 10.1209/0295-5075/80/40001     Document Type: Article

References (28)

1. Milner V., Hanssen J. L., Campbell W. C. and Raizen M. G. 2001 Phys. Rev. Lett. 86 1514
2. Friedman N., Kaplan A., Carasso D. and Davidson N. 2001 Phys. Rev. Lett. 86 1518
3. Sridhar S. 1991 Phys. Rev. Lett. 67 785
4. Stein J. and Stockmann H. J. 1992 Phys. Rev. Lett. 68 2867
5. Graf H. D., Harney H. L., Lengeler H., Lewenkopf C. H., Rangacharyulu C., Richter A., Schardt P. and Weidenmuller H. A. 1992 Phys. Rev. Lett. 69 1296
6. Persson E., Rotter I., Stockmann H. J. and Barth M. 2000 Phys. Rev. Lett. 85 2478
7. Sweet D., Zeff B. W., Ott E. and Lathrop D. P. 2001 Physica D 154 207
8. Ellegaard C., Guhr T., Lindemann K., Nygard J. and Oxborrow M. 1996 Phys. Rev. Lett. 77 4918
9. Sakamoto T., Takagaki Y., Takaoka S., Gamo K., Murase K. and Namba S. 1991 Jpn. J. Appl. Phys. 30 L1186
10. Bird J. P. 1999 J. Phys: Condens. Matter 11 R413
11. Waalkens H., Burbanks A. and Wiggins S. 2005 Phys. Rev. Lett. 95 084301
12. Waalkens H., Burbanks A. and Wiggins S. 2005 Mon. Not. R. Astron. Soc. 361 763
13. Tuval I., Schneider J., Piro O. and Tel T. 2004 Europhys. Lett. 65 633
14. Motter A. E. and Letelier P. S. 2001 Phys. Lett. A 285 127
15. Schneider J., Tel T. and Neufeld Z. 2002 Phys. Rev. E 66 066218
16. Buljan H. and Paar V. 2001 Phys. Rev. E 63 066205
17. Meiss J. D. 1997 Chaos 7 139
18. Demers M. F. and Young L.-S. 2006 Nonlinearity 19 377
19. Bunimovich L. A. and Dettmann C. P. 2005 Phys. Rev. Lett. 94 100201
20. Nagler J., Krieger M., Linke M., Schonke J. and Wiersig J. 2007 Phys. Rev. E 75 046204
21. Evans D. J. and Morriss G. P. 1990 Statistical Mechanics of Nonequilibrium Liquids (Academic, London)
22. Gaspard P. and Nicolis G. 1990 Phys. Rev. Lett. 65 1693
23. Kadanoff L. P. and Tang C. 1984 Proc. Natl. Acad. Sci. U.S.A. 81 1276
24. Artuso R., Aurell E. and Cvitanović P. 1990 Nonlinearity 3 325
25. Dettmann C. P. 2003 Ergod. Theory Dyn. Syst. 23 481
26. Chernov N. I. and Dettmann C. P. 2000 Physica A 279 37
27. Chernov N. I. and Markarian R. 2007 Commun. Math. Phys. 270 727
28. Santalo L. A. 2004 Integral Geometry and Geometric Probability (Cambridge: Cambridge University Press)