FitzHugh-Nagumo System: Difference between revisions

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Description

The FitzHugh-Nagumo system describes a prototype of an excitable system (e.g., a neuron). If the external stimulus $i_{0} (t)$ exceeds a certain threshold value, the system will exhibit a characteristic excursion in phase space, before the variables $v$ and $w$ relax back to their rest values. This behaviour is typical for spike generations (=short elevation of membrane voltage $v$ ) in a neuron after stimulation by an external input current.

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 ==Description==
+The FitzHugh-Nagumo system describes a prototype of an excitable system (e.g., a neuron).
+If the external stimulus <math>i_0(t)</math> exceeds a certain threshold value, the system will exhibit a characteristic excursion in phase space, before the variables <math>v</math> and <math>w</math> relax back to their rest values. This behaviour is typical for spike generations (=short elevation of membrane voltage  <math>v</math>) in a neuron after stimulation by an external input current.
 ==References==