THE EXISTENCE OF INFINITELY MANY TRAVELING FRONT AND BACK WAVES IN THE FITZHUGH-NAGUMO EQUATIONS

被引:0
|
作者
BO, D
机构
关键词
TRAVELING WAVE; TWISTED HETEROCLINIC LOOP; SINGULAR PERTURBATION; MELNIKOV INTEGRAL;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Consideration is given to the FitzHugh-Nagumo equations of bistable type. The existence of traveling front and back waves with any finite number of pulses is proved. The speed of such a multiple pulse wave is characterized by its number of pulses: the more pulses it has, the slower it travels. Traveling impulse and traveling train solutions are also found. These traveling waves arise from the bifurcation of a doubly twisted front-back wave loop. The method is based on the theory of heteroclinic loop bifurcation, the geometric theory of singular perturbation and the Melnikov method.
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页码:1631 / 1650
页数:20
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