Ichinose, Natsuhiro; Aihara, Kazuyuki; Judd, Kevin Extending the concept of isochrons from oscillatory to excitable systems for modeling an excitable neuron. (English) Zbl 0935.92012 Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, No. 12, 2375-2385 (1998). MSC: 92C20 37N25 92B20 PDFBibTeX XMLCite \textit{N. Ichinose} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, No. 12, 2375--2385 (1998; Zbl 0935.92012) Full Text: DOI
Dogaru, Radu; Chua, Leon O. Edge of chaos and local activity domain of FitzHugh-Nagumo equation. (English) Zbl 0933.37042 Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, No. 2, 211-257 (1998). MSC: 37D45 37N25 92D25 68Q80 92B20 68T05 PDFBibTeX XMLCite \textit{R. Dogaru} and \textit{L. O. Chua}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 8, No. 2, 211--257 (1998; Zbl 0933.37042) Full Text: DOI
Manganaro, Natale Exact solutions to a hyperbolic nerve fiber model. (English) Zbl 0954.92007 Maiellaro, Michele (ed.) et al., The proceedings of the 9th international conference on waves and stability in continuous media, Bari, Italy, October 6-11, 1997. Palermo: Circolo Matematico di Palermo, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 57, 309-314 (1998). MSC: 92C20 35Q92 35L99 35K99 PDFBibTeX XMLCite \textit{N. Manganaro}, in: The proceedings of the 9th international conference on Waves and stability in continuous media, Bari, Italy, October 6--11, 1997. Palermo: Circolo Matematico di Palermo. 309--314 (1998; Zbl 0954.92007)
Lupo, Daniela Existence and multiplicity of solutions for superquadratic noncooperative variational elliptic systems. (English) Zbl 0924.35039 Topol. Methods Nonlinear Anal. 12, No. 1, 27-46 (1998). Reviewer: N.C.Apreutesei (Iasi) MSC: 35J50 35J55 PDFBibTeX XMLCite \textit{D. Lupo}, Topol. Methods Nonlinear Anal. 12, No. 1, 27--46 (1998; Zbl 0924.35039) Full Text: DOI
Milne, Alice E.; Chalabi, Zaid S. Stability analysis of the FitzHugh-Nagumo differential equations driven by impulses: Applied to the electrical firing of magnocellular neurons. (English) Zbl 0911.92004 IMA J. Math. Appl. Med. Biol. 15, No. 4, 367-385 (1998). MSC: 92C20 34D99 PDFBibTeX XMLCite \textit{A. E. Milne} and \textit{Z. S. Chalabi}, IMA J. Math. Appl. Med. Biol. 15, No. 4, 367--385 (1998; Zbl 0911.92004)
Sneyd, James; Dale, Paul D.; Duffy, Alastair Traveling waves in buffered systems: Applications to calcium waves. (English) Zbl 0916.35052 SIAM J. Appl. Math. 58, No. 4, 1178-1192 (1998). Reviewer: G.H.Sweers (Delft) MSC: 35K57 92C05 PDFBibTeX XMLCite \textit{J. Sneyd} et al., SIAM J. Appl. Math. 58, No. 4, 1178--1192 (1998; Zbl 0916.35052) Full Text: DOI
Hattori, Yoshinori Existence of traveling front solutions of the nerve equation. (English) Zbl 0908.35063 Nishiura, Y. (ed.) et al., Proceedings of the international conference on asymptotics in nonlinear diffusive systems – towards the understanding of singularities in dissipative structures –, Sendai, Japan, July 28–August 1, 1997. Sendai: Tohoku Univ. Tohoku Math. Publ. 8, 211-216 (1998). MSC: 35K57 92C35 PDFBibTeX XMLCite \textit{Y. Hattori}, Tohoku Math. Publ. 8, 211--216 (1998; Zbl 0908.35063)
Yanagida, Eiji On the skew-gradient system. (English) Zbl 0908.35061 Nishiura, Y. (ed.) et al., Proceedings of the international conference on asymptotics in nonlinear diffusive systems – towards the understanding of singularities in dissipative structures –, Sendai, Japan, July 28–August 1, 1997. Sendai: Tohoku Univ. Tohoku Math. Publ. 8, 199-210 (1998). Reviewer: B.A.Malomed (Tel Aviv) MSC: 35K57 35B35 35P15 PDFBibTeX XMLCite \textit{E. Yanagida}, Tohoku Math. Publ. 8, 199--210 (1998; Zbl 0908.35061)
Nii, Shunsaku Travelling waves and linearised eigenvalue problem associated with them. (English) Zbl 0908.35062 Nishiura, Y. (ed.) et al., Proceedings of the international conference on asymptotics in nonlinear diffusive systems – towards the understanding of singularities in dissipative structures –, Sendai, Japan, July 28–August 1, 1997. Sendai: Tohoku Univ. Tohoku Math. Publ. 8, 113-122 (1998). Reviewer: B.A.Malomed (Tel Aviv) MSC: 35K57 35B35 35P15 35B32 PDFBibTeX XMLCite \textit{S. Nii}, Tohoku Math. Publ. 8, 113--122 (1998; Zbl 0908.35062)
Vijayakumar, K. On the integrability and exact solutions of the nonlinear diffusion equation with a nonlinear source. (English) Zbl 0915.35053 J. Aust. Math. Soc., Ser. B 39, No. 4, 513-527 (1998). MSC: 35K55 58J70 35Q58 PDFBibTeX XMLCite \textit{K. Vijayakumar}, J. Aust. Math. Soc., Ser. B 39, No. 4, 513--527 (1998; Zbl 0915.35053) Full Text: DOI
Sandstede, Björn Stability of \(N\)-fronts bifurcating from a twisted heteroclinic loop and an application to the FitzHugh-Nagumo equation. (English) Zbl 0914.34050 SIAM J. Math. Anal. 29, No. 1, 183-207 (1998). Reviewer: Arnd Scheel (Berlin) MSC: 34C37 35B35 37G99 PDFBibTeX XMLCite \textit{B. Sandstede}, SIAM J. Math. Anal. 29, No. 1, 183--207 (1998; Zbl 0914.34050) Full Text: DOI
Tuckwell, Henry C.; Rodriguez, Roger Analytical and simulation results for stochastic Fitzhugh-Nagumo neurons and neural networks. (English) Zbl 0896.92009 J. Comput. Neurosci. 5, No. 1, 91-113 (1998). MSC: 92C20 92B20 60H10 65C99 PDFBibTeX XMLCite \textit{H. C. Tuckwell} and \textit{R. Rodriguez}, J. Comput. Neurosci. 5, No. 1, 91--113 (1998; Zbl 0896.92009) Full Text: DOI