References

1

Bär et al. [1994] ``Chemical turbulence and standing waves in a surface reaction model: The influence of global coupling and wave instabilities'', Chaos 4: 499-508

2

Biktashev V.N., Holden A.V. & Zhang H. [1994] ``Tension of organizing filaments of scroll waves'', Phil. Trans. R. Soc. Lond. A 347: 611-630

3

Biktashev V.N. & Holden A.V. [1996] ``Re-entrant activity and its control in a model of mammalian ventricular tissue'', Proc. Roy. Soc. London B (submitted)

4

Brindley J. & Gray P. (eds.) [1994] ``Nonlinear phenomena in excitable media'', Phil. Trans. Roy. Soc. London A 347 599-727 (special issue)

5

Courtemanche M. & Winfree A.T. [1991] ``Re-entrant rotating waves in a Beeler-Reuter based model of two-dimensional cardiac conduction'', IJBC 1: 431-444

6

Ermakova E.A. & Pertsov A.M. [1986] "Interaction of rotating spiral waves with boundary", Biofizika, 31:855-861

7

Ermakova E.A., Pertsov A.M. & Shnol E.E. [1989] "On the interaction of vortices in two-dimensional active media". Physica D 40:185-195

8

Gray R.A. & Jalife J. [1996] ``Spiral waves and the heart'', IJBC 6, 415-435

9

Holden A.V., Markus M. & Othmer H.G. (eds.) [1991] Nonlinear wave processes in excitable media, Plenum, New York.

10

Keener J.P. [1988] ``The dynamics of three dimensional scroll waves in excitable media''. Physica D 31:269-276

11

Krinsky V.I. [1968] ``Fibrillation in excitable media'', Problems in Cybernetics 20: 59-80

12

Moe G.K., Rheinboldt W.C. & Abildskov J.A. [1964] ``A computer model of atrial fibrillation'', Am. Heart J. 67: 200-220

13

Monin A.S. [1994] ``On the coherent structures in turbulent flows'', in Studies of the Turbulence, I.M.Makarov et al. (eds.), pp. 7-17, Nauka, Moscow (in Russian).

14

Panfilov A.V. & Holden A.V. [1990] ``Self-generation of turbulent vortices in a two-dimensional model of cardiac tissue'', Phys. Lett. A 151: 23-26

15

Panfilov A.V. & Holden A.V. [1991] ``Spatio-temporal irregularity in a 2-dimensional model of cardiac tissue'', IJBC 1: 219-225

16

Panfilov A.V. [1991], ``3-D vortices in active media'', in Holden et al. [1991], pp. 361-381

17

Ricca R.L. [1991] "Rediscovery of Da Rios equations", Nature 352: 561-562

18

Ricca, R.L. [1992] "Physical interpretation of certain invariants for filament motion under LIA" Phys. Fluids A 4: 938-944

19

Rosenstein M.T., Collins J.J. & De Luca C.J. [1993] ``A practical method for calculating largest Lyapunov exponents from small data sets'', Physica D 65: 117-134

20

Rudenko A.N. & Panfilov A.V. [1983] "Drift and interaction of vortices in a two-dimensional inhomogeneous active medium". Studia Biophysica 98:183-188

21

Swinney H.L. & Krinsky V.I. (eds.) [1991] ``Waves and patterns in chemical and biological media'', Physica D 49, 1-255 (special issue).

22

Winfree A.T. [1973] ``Scroll-shaped waves of chemical activity in three dimensions'' Science 181, 937-939

23

Winfree A.T. & Strogatz S.H. [1983,1984] ``Singular filaments organize chemical waves in three dimensions'' I-IV, Physica D, 8:35-49, 9:65-80, 9:333-345, 13:221-233

24

Winfree A.T. [1989] ``Electrical instability in cardiac muscle: phase singularities and rotors'', J. Theor. Biol. 138: 353-405

25

Winfree A.T. [1991] ``Varieties of spiral wave behaviour -- an experimentalist's approach to the theory of excitable media'' Chaos 1, 303-334

26

Zaikin A.N. & Zhabotinsky [1970] ``Concentration wave propagation in two-dimensional liquid-phase self-oscillating system'', Nature 225, 535-537