Maginu K
J Math Biol. 1978 Jun 12;6(1):49-57. doi: 10.1007/BF02478516.
Nagumo's nerve conduction equation has travelling wave solutions of pulse type and periodic wave type. We consider the stability of the latter ones. We denote by L(c) the minimum spatial period of a periodic travelling wave solution whose propagation speed is c. It is shown that this travelling wave solution is unstable if L'(c) less than 0.
南云神经传导方程具有脉冲型和周期波型的行波解。我们考虑后者的稳定性。我们用L(c)表示传播速度为c的周期行波解的最小空间周期。结果表明,如果L'(c)小于0,则该旅行波解是不稳定的。