Simulated data from FitzHugh-Nagumo differential equations

Description

The data correspond to the values V(t) of the FitzHugh-Nagumo differential equations

V'(t) = c*(V(t) - (V(t)^3)/3 + R(t))

R'(t) = -(1/c)*(V(t) - a + b*R(t))

at times 0, 0.05,..,20.0, with parameters a = 0.2, b = 0.2, c = 3 and initial conditions V(0) = -1, R(0)=1, and adding gaussian noise with standard deviation 0.5.

Usage

1

Format

A numeric vetor of length 401

References

Nagumo, J. and Arimoto, S. and Yoshizawa, S. (1962) An active pulse ransmission line simulating nerve axon, Proceedings of the IRE, 50 (10), 2061–2070.

Ramsay, J.O. and Hooker, G. and Campbell, D. and Cao J. (2007) Parameter estimation for differential equations: A generalized smoothing approach, Journal of the Royal Statistical Society, Series B 69 (5) 741–796.

Benham T., Duan Q., Kroese D.P., Liquet B. (2015) CEoptim: Cross-Entropy R package for Optimization, Journal of Statistical Software, submitted.

Examples

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## Plot the data
data(FitzHugh)
plot(FitzHugh,col="blue")