Fractal dimension in dissipative chaotic scattering

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 76, Issue 1, 2007, Pages

  Seoane, Jesús M ^a   Sanjuán, Miguel A F ^a   Lai, Ying Cheng ^b  

^a UNIVERSIDAD REY JUAN CARLOS   (Spain)

^b Arizona State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CHAOTIC SYSTEMS; CONTINUOUS TIME SYSTEMS; FRACTALS; HEURISTIC METHODS; HIGH ENERGY PHYSICS; NUMERICAL METHODS;

CONTINUOUS-TIME SCATTERING SYSTEMS; PHYSICAL PHENOMENA;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 34547357376     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.76.016208     Document Type: Article

References (28)

1. U. Feudel and C. Grebogi, Chaos CHAOEH 1054-1500 10.1063/1.166259 7, 597 (1997);
2. S. Kraut, U. Feudel, and C. Grebogi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.59.5253 59, 5253 (1999);
3. U. Feudel and C. Grebogi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.91.134102 91, 134102 (2003).
4. A. E. Motter and Y.-C. Lai, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.015205 65, 015205 (R) (2001).
5. A. E. Motter, Y.-C. Lai, and C. Grebogi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.056307 68, 056307 (2003).
6. J. M. Seoane, J. Aguirre, M. A. F. Sanjuán, and Y.-C. Lai, Chaos CHAOEH 1054-1500 10.1063/1.2173342 16, 023101 (2006).
7. Y. T. Lau, J. M. Finn, and E. Ott, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.66.978 66, 978 (1991).
8. M. Ding, C. Grebogi, E. Ott and J. A. Yorke, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.42.7025 42, 7025 (1990);
9. Y.-C. Lai and C. Grebogi, Int. J. Bifurcation Chaos Appl. Sci. Eng. IJBEE4 0218-1274 10.1142/S0218127491000488 1, 667 (1991);
10. Y.-C. Lai, R. Blümel, E. Ott, and C. Grebogi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.3491 68, 3491 (1992).
11. C. F. F. Karney, Physica D PDNPDT 0167-2789 10.1016/0167-2789(83)90232-4 8, 360 (1983);
12. B. V. Chirikov and D. L. Shepelyansky, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(99)00133-5 13, 394 (1984);
13. J. Meiss and E. Ott, Physica D PDNPDT 0167-2789 10.1016/0167-2789(86) 90041-2 20, 387 (1986);
14. Y.-C. Lai, M. Ding, C. Grebogi, and R. Blümel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.46.4661 46, 4661 (1992).
15. J. Aguirre and M. A. F. Sanjuán, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(02)00565-1 171, 41 (2002).
16. J. Aguirre, J. C. Vallejo, and M. A. F. Sanjuán, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.066208 64, 066208 (2001).
17. S. Bleher, E. Ott, and C. Grebogi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.63.919 63, 919 (1989);
18. S. Bleher, C. Grebogi, and E. Ott, Physica D PDNPDT 0167-2789 10.1016/0167-2789(90)90114-5 46, 87 (1990).
19. C. Grebogi, S. W. McDonald, E. Ott, and J. A. Yorke, Phys. Lett. PYLAAG 0375-9601 10.1016/0375-9601(83)90945-3 99A, 415 (1983);
20. S. W. McDonald, C. Grebogi, E. Ott, and J. A. Yorke, Physica D PDNPDT 0167-2789 10.1016/0167-2789(85)90001-6 17, 125 (1985).
21. M. Hénon and C. Heiles, Astron. J. ANJOAA 0004-6256 10.1086/109234 69, 73 (1964).
22. G. Hsu, E. Ott, and C. Grebogi, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(88)90102-8 127, 199 (1988).
23. J. M. Ottino, The Kinematics of Mixing: Stretching, Chaos and Transport (Cambridge University Press, Cambridge, England, 1989).
24. See, for example, B. Eckhardt and H. Aref, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 326, 655 (1988);
25. Á. Péntek, Z. Toroczkai, T. Tél, C. Grebogi, and J. A. Yorke, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.51.4076 51, 4076 (1995);
26. G. Stolovitzky, T. J. Kaper, and L. Sirovich, Chaos CHAOEH 1054-1500 10.1063/1.166138 5, 671 (1995).
27. M. R. Maxey and J. J. Riley, Phys. Fluids PFLDAS 0031-9171 10.1063/1.864230 26, 883 (1983);
28. A. Babiano, J. H. E. Cartwright, O. Piro, and A. Provenzale, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.5764 84, 5764 (2000).