Reaction-diffusion processes in a one-dimensional array of active non-linear circuits

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Abstract
A linear array of coupled modified van der Pol oscillators has been studied both experimentally and numerically. A fixed width pulse was used to study the velocity of pulse-like travelling wave propagation in the chain and its dependence on the system parameters. We have shown that for a sufficiently large array the velocity tends to a limiting value that is independent of the array's length. The velocity monotonically decreases with the interval between pulses and it is inversely proportional to the square root of the coupling resistance. These results can be understood by using an analogy with the propagating waves in a high non-linear reaction-diffusion system, and specifically in an active excitable media.

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