Fitzhugh神经传导方程的张弛振动解

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The Relaxational Oscillation Solution for Fitzhugh’s Nerve Conduction Equation

摘要: 本文用匹配渐近法,计算了Fitzhugh神经传导方程张弛振动解的解析表达式、振动周期,给出了产生张弛振动的参数区域.

Abstract: By using the matching asymptotic method, we calculated the analytic expression of relaxational osillation sochition for Fitznugr's nerve conduction equation, oscillation period and the parametric region in which the relaxational oscillation occurs.

[1]	Fitzhugh,R.,Thresholds and plateaus in the Hodgkin-Huxley nerve equations,J.Gen.Phys.,43(1960).
[2]	Troy,W.C.,Bifurcation phenomena in Fitzhugh's nerve conduction equation,J.Math.Anal.Appl.,54(1976),678-690.
[3]	Hsü,I.D.and N.D.Kazarinoff,An applicable Hopf bifurcation formula and instability of small periodic solutions of the Field-Noyes model,J.Math.Anal.Appl.,55(1976),61-89.
[4]	Hsü,I.D.,A higher order Hopf bifurcation formula and its application to Fitzhugh's nerve conduction equations,J.Math.Anal.Appl.,60,1(1977),47-57.
[5]	Hadeler,K.P.,etc.,Generation of the nervous impulse and periodic oscillations,Biol.Cybernet.,23(1976),211-218.
[6]	G(?)bber,F.and K.D.Willamowski,Liapunov approach to multiple Hopf bifurcation,J Math.Anal.Appl.,71(1979),333-350.
[7]	Negrini,P.and L.Salvadori,Attraction and Hopf bifurcation,Nonlinear Analysis,3,1(1979),87-99.
[8]	Okuda,M.,A new method of nonlinear analysis for threshold and shaping actions in transient states,Prog.Theory Phys.,66,1(1981),90-100．