 
  
  
   
Up: On Feedback Resonant Drift 
 Previous: Acknowledgments
 
 
References
- 1
-   K.I. Agladze, V.A. Davydov and A.S. Mikhailov, An
observation of resonance of spiral waves in distributed excitable medium. 
ZETP Lett 45, 767-770 (1987).
 
- 2
-   I. Aranson, D. Kessler and I. Mitkov, Drift of spiral waves
in excitable media. Physica-D 85, 142-155 (1995).
 
- 3
-   V.N. Biktashev, Drift of a reverberator in an active medium
due to interaction with boundaries, in Nonlinear Waves II
Dynamics and Evolution, Edited by A.V. Gaponov-Grekhov, M.I. Rabinovich and
J. Engelbrecht, pp.87-96. Springer, Berlin (1989).
 
- 4
-   V.N. Biktashev, Control of re-entrant vortices by
electrical stimulation, in The Computational Biology of the Heart,
Edited by A.V. Panfilov and A.V. Holden. John Wiley, Chichester (1997).
 
- 5
-   V.N. Biktashev and A.V. Holden, Resonant drift of an
autowave vortex in a bounded medium. Phys Lett A 181, 216-224
(1993).
 
- 6
-   V.N. Biktashev and A.V. Holden, Design principles of a low
voltage cardiac defibrillator based on the effect of feedback resonant
drift. J. Theor. Biol 169, 101-112 (1994).
 
- 7
-   V.N. Biktashev and A.V. Holden, Resonant drift of autowave
vortices in two dimensions and the effects of boundaries and
inhomogeneities. Chaos, Solitons and Fractals 5, 575-622 (1995).
 
- 8
-   V.N. Biktashev and A.V. Holden, Control of re-entrant
activity in a model of mammalian atrial tissue. Proc. Roy. Soc. Lond.  
B260, 211-217 (1995).
 
- 9
-   V.N. Biktashev and A.V.Holden, Re-entrant activity and its
control in a model of mammalian ventricular tissue. Proc. Roy. Soc.
Lond.  B 263, 1378-1382 (1996).
 
- 10
-   V.N. Biktashev, A.V. Holden and E.V. Nikolaev, Spiral wave
meander and symmetry of the plane. Int.J.Bif.and Chaos 6(12),
(1996).
 
- 11
-   R. Courant and D. Hilbert, Methods of Mathematical
Physics. J.Wiley & Sons, New York (1962).
 
- 12
-   J.N. Davidenko, A.M. Pertsov, R. Salomonsz, W. Baxter and
J. Jalife, Stationary and drifting spiral waves of excitation in isolated
cardiac muscle. Nature  335, 349-351 (1992).
 
- 13
-   V.A. Davydov, V.S. Zykov, A.S. Mikhailov and P.K.
Brazhnik, Drift and resonance of spiral waves in distributed media. 
Izv. Vuzov-Radiofizika 31, 574-582 (1988).
 
- 14
-   E.A. Ermakova, A.M. Pertsov and E.E.Shnol, On the
interaction of vortices in two-dimension media. Physica D 40,
185-190 (1989)
 
- 15
-   M. Gómez-Gesteira, A.P. Muñuzuri, V. Pérez-Muñuzuri
and V. Pérez-Villar, Boundary imposed spiral drift. Physical Rev E 
53, 5480-5483 (1996).
 
- 16
-   S. Grill, V.S. Zykov and S.C. Müller, Feedback-controlled
dynamics of meandering spiral waves. Phys Rev Lett 75(18),
3368-3371 (1995).
 
- 17
-   A.V. Holden, M. Markus and H.G. Othmer (eds.), Nonlinear
Wave Processes in Excitable Media. Plenum Press Inc., New York (1991).
 
- 18
-   R.M. Mantel and D. Barkley, Periodic forcing of spiral waves
in excitable media. Phys. Rev. E 54, 4791-4802 (1996).
 
- 19
-   A.S. Mikhailov, V.A. Davydov and V.S. Zykov, Complex
dynamics of spiral waves and motions of curves. Physica-D 70,
1-39 (1994).
 
- 20
-   S.C. Müller, A. Warda and V.S. Zykov, Spiral Waves in
Bounded Excitable Media, in Modelling the Dynamics of Biological
Systems. Nonlinear Phenomena and Pattern Formation, Edited by E. Mosekilde
and O.G. Mouritsen, pp. 7-22. Springer, Berlin (1995).
 
- 21
-   A.V. Panfilov and A.V. Holden (eds.), The Computational
Biology of the Heart. John Wiley, Chichester (1997).
 
- 22
-   A.M. Pertsov, E.A. Ermakova and A.V. Panfilov, Spiral waves
rotating around a hole, and vortices in a FitzHugh-Nagumo model. Preprint,
Institute of Chemical Physics, USSR Academy of Sciences, Chernogolovka,
Moscow Region (1983) (in Russian).
 
- 23
-   A.M. Pertsov, E.A. Ermakova and A.V. Panfilov, Rotating
spiral waves in a modified FitzHugh-Nagumo model. Physica 14D,
117-124 (1984).
 
- 24
-   A.A. Samarskii and E.S. Nikolaev, Numerical Methods for
Grid Equations, Vol.I. Birkhäuser Verlag, Basel-Boston-Berlin (1989).
 
- 25
-   A.T Winfree, Varieties of spiral wave behavior: An
experimentalist's approach to the theory of excitable media, Chaos
1, 303-334 (1991).
 
- 26
-   V.S. Zykov and S.C. Müller, Spiral waves on circular and
spherical domains of excitable medium, Physica 97D, 322-332
(1996).
 
Vadim Biktashev 
Fri Apr  4 17:38:59 GMT 1997