## Traveling Wave Solutions for Systems of ODEs on a Two-Dimensional Spatial Lattice

- Erik S. Van Vleck, John Mallet-Paret, John W. Cahn
- SIAM Journal of Applied Mathematics
- 1998

Highly Influential

@inproceedings{Elmer2005DISCRETEF, title={DISCRETE FITZHUGH – NAGUMO EQUATIONS 1155 systems of discrete}, author={Christopher E. Elmer and Erik S. Van Vleck}, year={2005} }

- Published 2005

We consider pulse and front solutions to a spatially discrete FitzHugh–Nagumo equation that contains terms to represent both depolarization and hyperpolarization of the nerve axon. We demonstrate a technique for deriving candidate solutions for the McKean nonlinearity and present and apply solvability conditions necessary for existence. Our equation… CONTINUE READING

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