Method for detecting the signature of noise-induced structures in spatiotemporal data sets

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

Volumn 66, Issue 2, 2002, Pages

  Hütt, M Th ^a   Neff, R ^a   Busch, H ^a   Kaiser, F ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BIOCHEMISTRY; BOUNDARY CONDITIONS; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; PATTERN RECOGNITION; RANDOM PROCESSES; RESONANCE;

BIOCHEMICAL PROCESSES; NOISE AMPLITUDE; SPATIAL PATTERNS; SPATIOTEMPORAL STOCHASTIC RESONANCE (STSR);

ACOUSTIC NOISE;

EID: 41349097900     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.026117     Document Type: Article

References (29)

1. L. Gammaitoni, P. Hänggi, P. Jung, and F. Marchesoni, Rev. Mod. Phys. 70, 223 (1998).
2. K. Wiesenfeld and F. Moss, Nature (London) 373, 33 (1995).
3. F. Moss, Stochastic resonance: looking forward, in Self-organized Biological Dynamics and Nonlinear Control, edited by J. Walleczek (Cambridge University Press, Cambridge, 2000), pp. 236–256.
4. P. Jung and G. Mayer-Kress, Phys. Rev. Lett. 74, 2130 (1995).
5. P. Jung, A.H. Cornell-Bell, F. Moss, K. Sadar, J. Wang, and K. Showalter, Chaos 8, 567 (1998).
6. J.E. Levin and J.P. Miller, Nature (London) 380, 165 (1996).
7. D. Nozaki, D.J. Mar, P. Grigg, and J.J. Collins, Phys. Rev. Lett. 82, 2402 (1999).
8. M.-Th. Hütt, Datenanalyse in der Biologie (Springer, Heidelberg, 2001).
9. B. Jähne, Practical Handbook on Digital Image Processing for Scientific Applications (CRC-Press, Boca Raton, 1997).
10. G.K. Harkness, J. Lega, and G.-L. Oppo, Physica D 96, 26 (1996).
11. H. Herzel, Curr. Top. Acoust. Res. 2, 17 (1998).
12. S. Ninagawa, M. Yoneda, and S. Hirose, Physica D 118, 49 (1998).
13. H.G. Jones, Plant Cell Envir. 22, 1043 (1999).
14. T. Lawson and J. Weyers, J. Exp. Bot. 50, 1381 (1999).
15. Measures of Spatio-Temporal Dynamics, edited by A.M. Albano, P.E. Rapp, N.B. Abraham, and A. Passamante (Elsevier Science B.V., Amsterdam, 1996).
16. S. Wolfram, Nature (London) 311, 419 (1984).
17. Y. Bar-Yam, Dynamics of Complex Systems (Addison-Wesley, Reading, MA, 1997).
18. G.B. Ermentrout and L. Edelstein-Keshet, J. Theor. Biol. 160, 97 (1993).
19. M. Markus, A. Czajka, D. Böhm, T. Hahn, T. Schulte, and A. Ribeiro, in Cellular Automata and Complex Systems, edited by E. Goles and S. Martinez (Kluwer Academic Publishers, Dordrecht, 1999).
20. M.-Th. Hütt and R. Neff, Physica A 289, 498 (2001).
21. N.G. van Kampen, Stochastic Processes in Physics and Chemistry–Revised and Enlarged Edition (Elsevier, Amsterdam, 1992), pp. 55–58.
22. H. Busch and M.-Th. Hütt, Int. J. Bifurcation Chaos Appl. (to be published).
23. Y. Zhou and P. Jung, Europhys. Lett. 49, 695 (2000).
24. B. Braaksma and J. Grasman, Physica B 68, 265 (1993).
25. H. Busch and F. Kaiser, Acta Phys. Pol. B 31, 1143 (2000).
26. T. Tsujikawa, T. Nagai, M. Mimura, R. Kobayashi, and H. Ikeda, Jpn. J. Appl. Math. 6, 341 (1989).
27. E.E. Sel’kov, Eur. J. Biochem. 4, 79 (1968).
28. J. Garcia-Ojalvo and J.M. Sancho, Noise in Spatially Extended Systems (Springer, New York, 1999).
29. U. Rascher, M-T. Hütt, K. Siebke, B. Osmond, F. Beck, and U. Lüttge, Proc. Natl. Acad. Sci. U.S.A. 98, 11 801 (2001).