Non-annihilation of Travelling Pulses in a Reaction-diffusion System
Mimura, M. ; Nagayama, M. ; Ohta, T.
Methods Appl. Anal., Tome 9 (2002) no. 3, p. 493-516 / Harvested from Project Euclid
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It is demonstrated that slowly travelling pulses arising in a reaction-diffusion (RD) system with the FitzHugh-Nagumo type nonlinearity do not necessarily annihilate but reflect off of each other before they collide. This phenomenon is in contrast with the well-known annihilation of travelling pulses on nerve axon and expanding rings in the Belousov-Zhabotinsky chemical reaction. By using singular perturbation methods, we derive a fourth order system of ODEs from the RD system, and study non-annihilation phenomenon of very slowly travelling pulses.
Publié le : 2002-12-15
Classification:  
@article{1251832421,
     author = {Mimura, M. and Nagayama, M. and Ohta, T.},
     title = {Non-annihilation of Travelling Pulses in a Reaction-diffusion System},
     journal = {Methods Appl. Anal.},
     volume = {9},
     number = {3},
     year = {2002},
     pages = { 493-516},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1251832421}
}

Mimura, M.; Nagayama, M.; Ohta, T. Non-annihilation of Travelling Pulses in a Reaction-diffusion System. Methods Appl. Anal., Tome 9 (2002) no. 3, pp.  493-516. http://gdmltest.u-ga.fr/item/1251832421/