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Internal layer oscillations in FitzHugh-Nagumo equation. (English) Zbl 0944.35111

In the work [P. Fife, Dynamics of internal layers and diffusive interfaces, CMBS-NSF Reg. Conf. Ser. Appl. Math. 53 (1988; Zbl 0684.35001)] it was shown that FitzHugh-Nagumo equations can be reduced to a free boundary value problem when a layer parameter \(\varepsilon\) is equal to zero. In the article under review the Hopf bifurcation for this free boundary value problem at the variation of the controlled parameter \(\tau\) is investigated.

MSC:

35R35 Free boundary problems for PDEs
35Q80 Applications of PDE in areas other than physics (MSC2000)

Citations:

Zbl 0684.35001
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References:

[1] Fife, P., Dynamics of internal layers and diffusive interfaces, (CMBS-NSF Regional Converence Series in Applied Mathematics, vol. 53 (1988), SIAM: SIAM Philadelphia) · Zbl 0684.35001
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