Resonant patterns in noisy active media

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

Volumn 69, Issue 5 1, 2004, Pages

  Zhou, Changsong ^a   Kurths, Jürgen ^a  

^a UNIVERSITY OF POTSDAM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC VARIABLES CONTROL; DIFFUSION; NEUROPHYSIOLOGY; OSCILLATIONS; PATTERN RECOGNITION; RANDOM PROCESSES; REACTION KINETICS; REAL TIME SYSTEMS; SIGNAL PROCESSING; SPURIOUS SIGNAL NOISE; WAVE PROPAGATION;

NOISY ACTIVE MEDIA; RESONANT PATTERNS; SPIRAL WAVES; WAVE STRUCTURES;

RESONANCE;

EID: 42749101921     PISSN: 15393755     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (59)

1. H. Riecke, J. D. Crawford, and E. Knobloch, Phys. Rev. Lett. 61, 1942 (1988); I. Rehberg et al., ibid. 61, 2449 (1988).
2. H. Riecke, J. D. Crawford, and E. Knobloch, Phys. Rev. Lett. 61, 1942 (1988); I. Rehberg et al., ibid. 61, 2449 (1988).
3. P. Coullet and K. Emilsson, Physica D 61, 119 (1992); H. Chaté, A. Pikovsky, and O. Rudzik, ibid. 131, 17 (1999).
4. P. Coullet and K. Emilsson, Physica D 61, 119 (1992); H. Chaté, A. Pikovsky, and O. Rudzik, ibid. 131, 17 (1999).
5. C. Elphick, A. Hagberg, and E. Meron, Phys. Rev. Lett. 80, 5007 (1998); Phys. Rev. E 59, 5285 (1999); A. L. Lin et al., ibid. 62, 3790 (2000); R. Gallego et al., ibid. 64, 056218 (2001).
6. C. Elphick, A. Hagberg, and E. Meron, Phys. Rev. Lett. 80, 5007 (1998); Phys. Rev. E 59, 5285 (1999); A. L. Lin et al., ibid. 62, 3790 (2000); R. Gallego et al., ibid. 64, 056218 (2001).
7. C. Elphick, A. Hagberg, and E. Meron, Phys. Rev. Lett. 80, 5007 (1998); Phys. Rev. E 59, 5285 (1999); A. L. Lin et al., ibid. 62, 3790 (2000); R. Gallego et al., ibid. 64, 056218 (2001).
8. C. Elphick, A. Hagberg, and E. Meron, Phys. Rev. Lett. 80, 5007 (1998); Phys. Rev. E 59, 5285 (1999); A. L. Lin et al., ibid. 62, 3790 (2000); R. Gallego et al., ibid. 64, 056218 (2001).
9. H. K. Park, Phys. Rev. Lett. 86, 1130 (2001).
10. V. Petrov, Q. Ouyang, and H. L. Swinney, Nature (London) 388, 655 (1997); A. L. Lin et al., Phys. Rev. Lett. 84, 4240 (2000).
11. V. Petrov, Q. Ouyang, and H. L. Swinney, Nature (London) 388, 655 (1997); A. L. Lin et al., Phys. Rev. Lett. 84, 4240 (2000).
12. A. K. Horváth et al., Phys. Rev. Lett. 83, 2950 (1999); M. Dolnik, A. M. Zhabotinsky, and I. R. Epstein, Phys. Rev. E 63, 026101 (2001).
13. A. K. Horváth et al., Phys. Rev. Lett. 83, 2950 (1999); M. Dolnik, A. M. Zhabotinsky, and I. R. Epstein, Phys. Rev. E 63, 026101 (2001).
14. M. Dolnik et al., Phys. Rev. Lett. 87, 238301 (2001).
15. S. Rüdiger et al., Phys. Rev. Lett. 90, 128301 (2003).
16. O. Steinbock, V. Zykov, and S. Müller, Nature (London) 366, 322 (1993).
17. F. Melo, P. Umbanhowar, and H. L. Swinney, Phys. Rev. Lett. 72, 172 (1994); 75, 3838 (1995); P. Umbanhowar, F. Melo, and H. L. Swinney, Nature (London) 382, 793 (1996).
18. F. Melo, P. Umbanhowar, and H. L. Swinney, Phys. Rev. Lett. 72, 172 (1994); 75, 3838 (1995); P. Umbanhowar, F. Melo, and H. L. Swinney, Nature (London) 382, 793 (1996).
19. F. Melo, P. Umbanhowar, and H. L. Swinney, Phys. Rev. Lett. 72, 172 (1994); 75, 3838 (1995); P. Umbanhowar, F. Melo, and H. L. Swinney, Nature (London) 382, 793 (1996).
20. V. K. Vanag et al., Nature (London) 406, 389 (2000); M. Kim et al., Science 292, 1357 (2001).
21. V. K. Vanag et al., Nature (London) 406, 389 (2000); M. Kim et al., Science 292, 1357 (2001).
22. T. Sakurai et al., Science 296, 2009 (2002); C. K. Tung and C. K. Chan, Phys. Rev. Lett. 89, 248302 (2002); O. Beck et al., Phys. Rev. E 66, 016213 (2002).
23. T. Sakurai et al., Science 296, 2009 (2002); C. K. Tung and C. K. Chan, Phys. Rev. Lett. 89, 248302 (2002); O. Beck et al., Phys. Rev. E 66, 016213 (2002).
24. T. Sakurai et al., Science 296, 2009 (2002); C. K. Tung and C. K. Chan, Phys. Rev. Lett. 89, 248302 (2002); O. Beck et al., Phys. Rev. E 66, 016213 (2002).
25. C. J. Hemming and R. Kapral, Chaos 10, 720 (2000).
26. R. L. Stratonovich, Topics in the Theory of Random Noise (Gordon and Breach, New York, 1963).
27. J. Garcia-Ojalvo and J. M. Sancho, Noise in Spatially Extended Systems (Springer, New York, 1999).
28. M. Löcher, D. Cigna, and E. R. Hunt, Phys. Rev. Lett. 80, 5212 (1998); J. F. Lindner et al., ibid. 81, 5048 (1998); A. A. Zaikin et al., ibid. 88, 010601 (2002).
29. M. Löcher, D. Cigna, and E. R. Hunt, Phys. Rev. Lett. 80, 5212 (1998); J. F. Lindner et al., ibid. 81, 5048 (1998); A. A. Zaikin et al., ibid. 88, 010601 (2002).
30. M. Löcher, D. Cigna, and E. R. Hunt, Phys. Rev. Lett. 80, 5212 (1998); J. F. Lindner et al., ibid. 81, 5048 (1998); A. A. Zaikin et al., ibid. 88, 010601 (2002).
31. S. Kádár et al., Nature (London) 391, 770 (1998); L. Q. Zhou et al., Phys. Rev. Lett. 88, 138301 (2002).
32. S. Kádár et al., Nature (London) 391, 770 (1998); L. Q. Zhou et al., Phys. Rev. Lett. 88, 138301 (2002).
33. P. Jung and G. Mayer-Kress, Phys. Rev. Lett. 74, 2130 (1995); J. F. Lindner et al., ibid. 75, 3 (1995); F. Marchesoni et al., ibid. 76, 2609 (1996); J. M. G. Vilar and J. M. Rubí, ibid. 78, 2886 (1997).
34. P. Jung and G. Mayer-Kress, Phys. Rev. Lett. 74, 2130 (1995); J. F. Lindner et al., ibid. 75, 3 (1995); F. Marchesoni et al., ibid. 76, 2609 (1996); J. M. G. Vilar and J. M. Rubí, ibid. 78, 2886 (1997).
35. P. Jung and G. Mayer-Kress, Phys. Rev. Lett. 74, 2130 (1995); J. F. Lindner et al., ibid. 75, 3 (1995); F. Marchesoni et al., ibid. 76, 2609 (1996); J. M. G. Vilar and J. M. Rubí, ibid. 78, 2886 (1997).
36. P. Jung and G. Mayer-Kress, Phys. Rev. Lett. 74, 2130 (1995); J. F. Lindner et al., ibid. 75, 3 (1995); F. Marchesoni et al., ibid. 76, 2609 (1996); J. M. G. Vilar and J. M. Rubí, ibid. 78, 2886 (1997).
37. J. Garcia-Ojalvo and L. Schimansky-Geier, Europhys. Lett. 47, 298 (1999); Z. Hou and H. Xin, Phys. Rev. Lett. 89, 280601 (2002).
38. J. Garcia-Ojalvo and L. Schimansky-Geier, Europhys. Lett. 47, 298 (1999); Z. Hou and H. Xin, Phys. Rev. Lett. 89, 280601 (2002).
39. S. Alonso et al., Phys. Rev. Lett. 87, 078302 (2001); S. Alonso, F. Sagués, and J. M. Sancho, Phys. Rev. E 65, 066107 (2002).
40. S. Alonso et al., Phys. Rev. Lett. 87, 078302 (2001); S. Alonso, F. Sagués, and J. M. Sancho, Phys. Rev. E 65, 066107 (2002).
41. H. Hempel et al., Phys. Rev. Lett. 82, 3713 (1999).
42. A. Neiman et al., Phys. Rev. Lett. 83, 4896 (1999).
43. B. Hu and C. S. Zhou, Phys. Rev. E 61, R1001 (2000); C. S. Zhou, J. Kurths, and B. Hu, Phys. Rev. Lett. 87, 098101 (2001).
44. B. Hu and C. S. Zhou, Phys. Rev. E 61, R1001 (2000); C. S. Zhou, J. Kurths, and B. Hu, Phys. Rev. Lett. 87, 098101 (2001).
45. C. S. Zhou, J. Kurths, and B. Hu, Phys. Rev. E 67, 030101(R) (2003).
46. J. M. Davidenko et al., Nature (London) 355, 349 (1992).
47. th is also much larger.
48. A. Neiman et al., Phys. Rev. E 58, 7118 (1998); J. A. Freund, A. Neiman, and L. Schimansky-Geier, Europhys. Lett. 50, 8 (2000).
49. A. Neiman et al., Phys. Rev. E 58, 7118 (1998); J. A. Freund, A. Neiman, and L. Schimansky-Geier, Europhys. Lett. 50, 8 (2000).
50. G. Hu et al., Phys. Rev. Lett. 71, 807 (1993); A. S. Pikovsky and J. Kurths, ibid. 78, 775 (1997).
51. G. Hu et al., Phys. Rev. Lett. 71, 807 (1993); A. S. Pikovsky and J. Kurths, ibid. 78, 775 (1997).
52. A. Longtin and D. Chialvo, Phys. Rev. Lett. 81, 4012 (1998); B. Lindner and L. Schimansky-Geier, Phys. Rev. E 61, 6103 (2000).
53. A. Longtin and D. Chialvo, Phys. Rev. Lett. 81, 4012 (1998); B. Lindner and L. Schimansky-Geier, Phys. Rev. E 61, 6103 (2000).
54. M. Bär et al., Phys. Rev. Lett. 84, 5664 (2000).
55. Calcium Signalling (Methods in Signal Transduction), edited by J. W. Putney (CRC Press, London, 1999).
56. M. Falcke, L. Tsimring, and H. Levine, Phys. Rev. E 62, 2636 (2000).
57. S. Coombes and Y. Timofeeva, Phys. Rev. E 68, 021915 (2003).
58. E. Manjarrez et al., Neurosci. Lett. 326, 93 (2002).
59. T. Mori and S. Kai, Phys. Rev. Lett. 88, 218101 (2002).