Alternans and Spiral Breakup in an Excitable Reaction-Diffusion System: A Simulation Study

Algorithm 1

Calculate widths of different spiral pulses.

(1) procedure WIDTH()  ▹   is the cross-section of the 2D profile

(2)           ▹   a small positive number close to zero

(3)  for    do             ▹   is the size of

(4)   if    and    then

(5)    

(6)   else  if    and    then

(7)    

(8)   end  if

(9)  end  for

(10)   ▹  Find the index, , of the positions of the values in

(11)             ▹   is grid points along the -axis

(12) for    do       ▹  Calculate the widths of pulses

(13)             ▹   is the size of

(14) end  for

(15)          ▹  Calculate the maximum

(16)           ▹  and minimum widths

(17) end procedure