next up previous
Next: Numerical illustrations Up: Excitation wave breaking Previous: Solitary wave blocking

Periodic wave conduction block

For periodic wavetrains the situation is completely different, as the spatial period measured in terms of the variable tex2html_wrap_inline862 (the period in the direction of the flow) is fixed. In physical space, if measured in the instantaneous direction of propagation, the spatial period changes according to (6). But in excitable media, there is always a minimal wavelength, tex2html_wrap_inline900 at which a periodic wavetrain can propagate, and so tex2html_wrap_inline902 decreasing below this value is a sufficient condition for the propagation block. From (6) we obtain the following estimate of the time and the angle for which the break will occur, for any value of the shear however small:

  equation217

where

  equation224



Vadim Biktashev
Wed Aug 12 18:01:29 BST 1998