Unidirectional mechanism for reentrant activity generation in excitable media

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

Volumn 66, Issue 1, 2002, Pages

  Sendiña Nadal, Irene ^a,b   de Castro, Maite ^c   Sagués, Francesc ^d   Gómez Gesteira, Moncho ^c  

^a UNIVERSIDAD REY JUAN CARLOS   (Spain)

^b UNIVERSITY OF SANTIAGO DE COMPOSTELA   (Spain)

^c UNIVERSITY OF VIGO   (Spain)

^d UNIVERSITY OF BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; COMPUTER SIMULATION; FEEDBACK CONTROL; FOURIER TRANSFORMS; INTEGRAL EQUATIONS; INTEGRATION; OSCILLATORS (ELECTRONIC); RESONANCE;

FOURIER EXPANSION; RESONANCE ATTRACTORS; SPATIOTEMPORAL DYNAMICS; SPIRAL WAVES;

WAVES;

EID: 37649030562     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.016215     Document Type: Article

References (27)

1. Waves and Patterns in Chemical and Biological Media, edited by H.L. Swinney and V.I. Krinsky, special issue of Physica D 49, 1 (1991).
2. R.A. Gray and J. Jalife, Int. J. Bifurcation Chaos Appl. Sci. Eng. 6, 415 (1996).
3. M.S. Spach, W.T. Miller, D.B. Geselowitz, R.C. Barr, J.M. Kootsey, and E.A. Johnson, Circ. Res. 48, 39 (1981).
4. M. Gómez-Gesteira, G. Fernández-García, A.P. Munuzuri, V. Pérez-Muñuzuri, V.I. Krinsky, C.F. Starmer, and V. Pérez-Villar, Physica D 76, 359 (1994).
5. J. Starobin, Y.I. Zilberter, and C.F. Starmer, Physica D 70, 321 (1994).
6. K. Agladze, J.P. Keener, S.C. Müller, and A. Panfilov, Science 264, 1746 (1994).
7. O. Steinbock, P. Kettunen, and K. Showalter, Science 269, 1857 (1995).
8. M. Gómez-Gesteira, J.L. del Castillo, M.E. Vázquez-Iglesias, V. Pérez-Muñuzuri, and V. Pérez-Villar, Phys. Rev. E 50, 4646 (1994).
9. J.M. Starobin and C.F. Starmer, Phys. Rev. E 54, 430 (1996).
10. M.S. Spach, W.T. Miller, P.C. Dolber, J.M. Kootsey, J.R. Sommer, and C.E. Mosher, Circ. Res. 50, 175 (1982).
11. A. Kadish, M. Shinnar, E.N. Moore, J.H. Levine, C.W. Balke, and J.F. Spear, Circulation 78, 1478 (1988).
12. J. Brugada, L. Boersma, Ch. Kirchhof, and M. Allessie, Rev. Esp. Cardiol. 43, 558 (1990).
13. Z. Noszticzius, W. Horsthemke, W.D. McCormick, H.L. Swinney, and W.Y. Tam, Nature (London) 329, 619 (1987).
14. E. Dulos, J. Boissonade, and P. DeKepper, Physica A 188, 120 (1992).
15. O. Steinbock and P. Kettunen, Chem. Phys. Lett. 251, 305 (1996).
16. V. Gáspár, Gy. Bazsa, and M.T. Beck, Z. Phys. Chem. (Leipzig) 264, 43 (1983).
17. I. Sendiña-Nadal, Phys. Rev. E 58, R1183 (1998).
18. T. Yamaguchi, L. Kuhnert, Zs. Nagy-Ungvaray, S.C. Müller, and B. Hess, J. Phys. Chem. 95, 5831 (1991).
19. R.J. Field and R.M. Noyes, J. Chem. Phys. 60, 1877 (1973).
20. J.J. Tyson and P.C. Fife, J. Chem. Phys. 73, 2224 (1980).
21. H.-J. Krug, L. Pohlmann, and L. Kuhnert, J. Phys. Chem. 94, 4862 (1990).
22. A.R. Mitchell and D.F. Griffiths, The Finite Difference Method in Partial Differential Equations (John Wiley & Sons, Chichester, England, 1997).
23. M. deCastro, M. Gómez-Gesteira, and V. Pérez-Villar, Phys. Rev. E 57, 949 (1998).
24. I. Motoike and K. Yoshikawa, Phys. Rev. E 59, 5354 (1999).
25. I.N. Motoike, K. Yoshikawa, Y. Iguchi, and S. Nakata, Phys. Rev. E 63, 036220 (2001).
26. A. Tóth and K. Showalter, J. Chem. Phys. 103, 2058 (1995).
27. K. Agladze, R.R. Aliev, and T. Yamaguchi, J. Phys. Chem. 100, 13 895 (1996).