Use of V-shaped stable patterns to study high negative curvature-velocity dependence of an excitable medium

Physica D: Nonlinear Phenomena

Volumn 94, Issue 3, 1996, Pages 148-156

  Perez Munuzuri V ^a   Souto, C ^a   Gomez Gesteira M ^a   Munuzuri A P ^a   Davydov, V A ^a,b   Perez Villar V ^a  

^a UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

^b MIREA RUSSIAN TECHNOLOGICAL UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039352947     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-2789(95)00310-X     Document Type: Article

References (29)

1. V.I. Krinsky, in: Self-Organization: Autowaves and Structures Far From Equilibrium (Springer, Berlin, 1984) pp. 9-19.
2. V. Pérez-Muñuzuri, R. Aliev, V. Vasiev, V. Pérez-Villar and V.I. Krinsky, Nature 353 (1992) 740-742.
3. A.S. Mikhailov, Foundations of Synergetic I (Springer, Berlin, 1990).
4. M. Gómez-Gesteira, G. Fernández-García, A.P. Muñuzuri, V. Pérez-Muñuzuri, V. Krinsky, C.F. Starmer and V. Pérez-Villar, Physica D 76 (1994) 359.
5. O. Steinbock, J. Schütze and S.C. Müller, Phys. Rev. Lett. 68 (1993) 248.
6. A.P. Muñuzuri, M. Gómez-Gesteira, V. Pérez-Muñuzuri, V.I. Krinsky and V. Pérez-Villar, Phys. Rev. E 50 (1994) 4258.
7. D. Barkley, Phys. Rev. Lett. 68 (1992) 2090.
8. J.M. Davidenko, A.V. Pertsov, R. Salomonsz, W. Baxter and J. Jalife, Nature 355 (1992) 349.
9. J.P. Keener, SIAM J. Appl. Math. 46 (1986) 1039.
10. J.J. Tyson and J.P. Keener, Physica D 32 (1988) 327.
11. G.H. Markstein, J. Aero. Sci. 18 (1951) 199.
12. D. Turnbull, in: Solid State Physics 3, eds. F. Steitz and D. Turnbull (Academic Press, New York, 1956).
13. V.S. Zykov, Biophysics 25 (1980) 906.
14. V.S. Zykov, Modelling of Wave Processes in Excitable Media (Manchester University Press, Manchester, 1988).
15. P. Foerster, S.C. Müller and B. Hess, Science 241 (1988) 685.
16. P. Foerster, S.C. Müller and B. Hess, Proc. Natl. Acad. Sci. USA 86 (1989) 6831.
17. V. Pérez-Muñuzuri, M. Gómez-Gesteira, A.P. Muñuzuri, V.A. Davydov and V. Pérez-Villar, Phys. Rev. E 51(2) (1995) 845.
18. P.K. Brazhnik and V.A. Davydov, Phys. Lett. A 199 (1995) 40.
19. P.K. Brazhnik, V.A. Davydov and A.S. Mikhailov, Theoret. Math. Phys. 74 (1988) 300.
20. V.A. Davydov, V.S. Zykov and A.S. Mikhailov, Sov. Phys. Usp. 34 (1991) 665.
21. A.S. Mikhailov, V.A. Davydov and V.S. Zykov, Physica D 70 (1994) 1.
22. V.S. Zykov, in: Controlling Complex Systems, ed. Ya.A. Tsypkin (Nauka, Moscow, 1975) pp. 59-66.
23. R.C. Brower, D. Kessler, J. Koplik and H. Levine, Phys. Rev. A 29 (1984) 1335.
24. I.M. Gel'fand, Am. Math. Sov. Transl. Ser. 2 29 (1963) 295.
25. A.N. Zaikin and A.M. Zhabotinsky, Nature 225 (1970) 535.
26. R.J. Field and R.M. Noyes, J. Chem. Phys. 60 (1974) 1877.
27. W. Jahnke and A.T. Winfree, Int. J. Bifur. Chaos 2 (1991) 445.
28. R.M. Haralick and L.G. Shapiro, Computer and Robot Vision Vol. I (Addison-Wesley, Reading MA, 1992).
29. K. Showalter, R.M. Noyes and H. Turner, J. Amer. Chem. Soc. 101 (1979) 7463.