Global bifurcations in the FitzHugh-Nagumo equations for nerve wave propagation
β Scribed by H. Feddersen; P. L. Christiansen; M. P. Soerensen
- Publisher
- Springer Netherlands
- Year
- 1990
- Tongue
- English
- Weight
- 496 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0092-0606
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β¦ Synopsis
The FitzHugl-Nagurno equations for action potential propagation along nerve axons and the corresponding ordinary differential equations for travelling waves are solved numerically. Above a critical value, a constant bias current can drive a wave-front solution. At the critical value, a global bifurcation occurs. As a result, the wave front switches into a pulse.
π SIMILAR VOLUMES
We study the effect of constant and periodic membrane currents in neuronal axons described by the FitzHugh-Nagumo equation in its wave form. Linear stability analysis is carried out in the absence of periodic membrane current. Occurrence of chaotic motion, (i) in the absence of both constant and per
## Communicated by Y. Xu In this work, the homotopy perturbation method (HPM), the variational iteration method (VIM) and the Adomian decomposition method (ADM) are applied to solve the Fitzhugh-Nagumo equation. Numerical solutions obtained by these methods when compared with the exact solutions r