Stability of neuronal pulses composed of concatenated unstable kinks.
We demonstrate that a traveling pulse solution, emerging from the concatenation of two unstable kinks, can be stable. By means of stability analysis and numerical simulations, we show the stability of neuronal pulses (action potentials) with increasing refractory periods, which decompose into two (radiationally) unstable kinks in the limit. These action potentials are solutions of an ultrarefractory version of the FitzHugh-Nagumo system.
Romeo
M M
MM
Division of Applied Mathematics, Brown University, Providence, Rhode Island 02912, USA.
Jones
C K
CK
D000200:Action Potentials; D000818:Animals; D001369:Axons / Q000378:metabolism*; D007700:Kinetics; D008962:Models, Theoretical; D009474:Neurons / Q000502:physiology*