Spiral instability to line sources in forced chemical pattern turbulence

Europhysics Letters

Volumn 35, Issue 9, 1996, Pages 665-670

  Belmonte, A ^a   Flesselles, J M ^a   Ouyang, Q ^a,b  

^a INSTITUT NON LINÉAIRE DE NICE   (France)

^b University of Texas ^*  (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030499619     PISSN: 02955075     EISSN: None     Source Type: Journal    
DOI: 10.1209/epl/i1996-00168-7     Document Type: Article

References (36)

1. See, for example, CROSS M. and HOHENBERG P., Rev. Mod. Phys., 65 (1993) 851.
2. KURAMOTO Y., Chemical Oscillations, Waves, and Turbulence (Springer, New York, N.Y.) 1984.
3. CHATÉ H. and MANNEVILLE P., Phys. Rev. Lett., 58 (1987) 112; CHATÉ H., Nonlinearity, 7 (1994) 185.
4. CHATÉ H. and MANNEVILLE P., Phys. Rev. Lett., 58 (1987) 112; CHATÉ H., Nonlinearity, 7 (1994) 185.
5. COULLET P. and LEGA J., Europhys. Lett., 7 (1988) 511; COULLET P., GIL L. and LEGA J., Phys. Rev. Lett., 62 (1989) 1619.
6. COULLET P. and LEGA J., Europhys. Lett., 7 (1988) 511; COULLET P., GIL L. and LEGA J., Phys. Rev. Lett., 62 (1989) 1619.
7. SHRAIMAN B., PUMIR A., VAN SAARLOOS W., HOHENBERG P., CHATÉ H. and HOLEN M., Physica D, 57 (1992) 241.
8. VAN SAARLOOS W. and HOHENBERG P., Phisica D, 56 (1992) 303; PASSOT T. and NEWELL A., Physica D, 74 (1994) 301.
9. VAN SAARLOOS W. and HOHENBERG P., Phisica D, 56 (1992) 303; PASSOT T. and NEWELL A., Physica D, 74 (1994) 301.
10. BONNER J. J., The Cellular Slime Molds (Princeton University Press, Princeton, NJ) 1967; LEE K. L., COX E. C. and GOLDSTEIN R. E., Phys. Rev. Lett., 76 (1995) 1174.
11. BONNER J. J., The Cellular Slime Molds (Princeton University Press, Princeton, NJ) 1967; LEE K. L., COX E. C. and GOLDSTEIN R. E., Phys. Rev. Lett., 76 (1995) 1174.
12. JAKUBITH S., ROTERMUND H., ENGEL W., VON OERTZEN A. and ERTL G., Phys. Rev. Lett., 65 (1990) 3013.
13. WINFREE A., Science, 175 (1972) 634.
14. KAPRAL R. and SHOWALTER K. (Editors), Chemical Waves and Patterns (Kluwer Academic Publishers, Dordrecht) 1995.
15. HUBER G., ALSTRØM P. and BOHR T., Phys. Rev. Lett., 69 (1992) 2380; BÄR M. and EISWIRTH M., Phys. Rev. E, 48 (1993) 1635; PANFILOV A. and HOGEWEG P., Phys. Lett. A, 176 (1993) 295; HAGBERG A. and MERON E., Phys. Rev. Lett., 72 (1994) 2494; KARMA A., Chaos, 4 (1994) 461.
16. HUBER G., ALSTRØM P. and BOHR T., Phys. Rev. Lett., 69 (1992) 2380; BÄR M. and EISWIRTH M., Phys. Rev. E, 48 (1993) 1635; PANFILOV A. and HOGEWEG P., Phys. Lett. A, 176 (1993) 295; HAGBERG A. and MERON E., Phys. Rev. Lett., 72 (1994) 2494; KARMA A., Chaos, 4 (1994) 461.
17. HUBER G., ALSTRØM P. and BOHR T., Phys. Rev. Lett., 69 (1992) 2380; BÄR M. and EISWIRTH M., Phys. Rev. E, 48 (1993) 1635; PANFILOV A. and HOGEWEG P., Phys. Lett. A, 176 (1993) 295; HAGBERG A. and MERON E., Phys. Rev. Lett., 72 (1994) 2494; KARMA A., Chaos, 4 (1994) 461.
18. HUBER G., ALSTRØM P. and BOHR T., Phys. Rev. Lett., 69 (1992) 2380; BÄR M. and EISWIRTH M., Phys. Rev. E, 48 (1993) 1635; PANFILOV A. and HOGEWEG P., Phys. Lett. A, 176 (1993) 295; HAGBERG A. and MERON E., Phys. Rev. Lett., 72 (1994) 2494; KARMA A., Chaos, 4 (1994) 461.
19. HUBER G., ALSTRØM P. and BOHR T., Phys. Rev. Lett., 69 (1992) 2380; BÄR M. and EISWIRTH M., Phys. Rev. E, 48 (1993) 1635; PANFILOV A. and HOGEWEG P., Phys. Lett. A, 176 (1993) 295; HAGBERG A. and MERON E., Phys. Rev. Lett., 72 (1994) 2494; KARMA A., Chaos, 4 (1994) 461.
20. MARKUS M. and STAVRIDIS K., Int. J. Bifurcation Chaos, 4 (1994) 1233.
21. OUYANG Q. and FLESSELLES J.-M., Nature, 379 (1996) 143.
22. FRISCH T. and GILLI J.-M., J. Phys. II, 5 (1995) 561.
23. BÄR M., HILDEBRAND M., EISWIRTH M., FALCKE M., ENGEL H. and NEUFELD M., Chaos, 4 (1994) 499.
24. MERTENS F., IMBIHL R. and MIKHAILOV A., J. Chem. Phys., 101 (1994) 9903; BÄR M., NETTESHEIM S., ROTERMUND H., EISWIRTH M. and ERTL G., Phys. Rev. Lett., 74 (1995) 1246.
25. MERTENS F., IMBIHL R. and MIKHAILOV A., J. Chem. Phys., 101 (1994) 9903; BÄR M., NETTESHEIM S., ROTERMUND H., EISWIRTH M. and ERTL G., Phys. Rev. Lett., 74 (1995) 1246.
26. KAWAGISHI T., MIZUGUCHI T. and SANO M., Phys. Rev. Lett., 75 (1995) 3768.
27. COULLET P. and EMILSSON K., Physica D, 61 (1992) 119.
28. BRAUNE M. and ENGEL H., Chem. Phys. Lett., 211 (1993) 534; ZYKOV V., STEINBOCK O. and MÜLLER S., Chaos, 4 (1994) 509.
29. BRAUNE M. and ENGEL H., Chem. Phys. Lett., 211 (1993) 534; ZYKOV V., STEINBOCK O. and MÜLLER S., Chaos, 4 (1994) 509.
30. FIELD R. and BURGER M. (Editors), Oscillations and Traveling Waves in Chemical Systems (J. Wiley and Sons, New York, N.Y.) 1985.
31. OUYANG Q. and SWINNEY H., Chaos, 1 (1991) 411.
32. LÁZÁR A., NOSZTICZIUS Z., FÖRSTERLING H.-D. and NAGY-UNGVÁRAI Zs., Physica D, 84 (1995) 112.
33. BEKKI N. and NOZAKI K., Phys. Lett. A, 110 (1985) 133; LEGA J., JANIAUD B., JUCQUOIS S. and CROQUETTE V., Phys. Rev. A., 45 (1992) 5596.
34. BEKKI N. and NOZAKI K., Phys. Lett. A, 110 (1985) 133; LEGA J., JANIAUD B., JUCQUOIS S. and CROQUETTE V., Phys. Rev. A., 45 (1992) 5596.
35. MÜLLER S., STEINBOCK O. and SCHÜTZE J., Physica A. 188 (1992) 47.
36. PETROV V., SCOTT S. K. and SHOWALTER K., Philos. Trans. R. Soc. London, Ser. A, 347 (1994) 631.