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1550
Rotational Waves in Rings of Electrochemical Oscillators

The formation of waves is examined in oscillatory nickel dissolution where units of individual oscillators interact through external resistance which controls the strength of interaction. An experimental technique using a locally coupled twenty nickel electrode ring is presented in which through a combination of temporary alterations in topology and the application of global feedback provides all possible rotational solutions.

There are four rotational waves which can propagate about the ring and are distinguished by the velocity and the number of waves. The propagation rate is inversely proportional to the number of waves in the rotation (*m*) for all rotations. Solutions with no rotation have an *m* value of zero while rotational solutions are obtained for *m*=1,2,3,4. Larger *m* values (*m* ≥ 5) are shown to not be stable in the network. The results thus indicate that while network plasticity is thought to be significant in the operation of neural systems, it can also play a role in pattern selection of chemical systems.

References:

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[2] G. B. Ermentrout, J. Math. Biol. 1985, 23, 55-74.

[3] D. A. Wiley, S. H. Strogatz, M. Girvan, Chaos 2006, 16, 1054-1500.