Abstract
Bifurcations play important roles in analysis of dynamical systems; they express qualitative changes in behavior. A typical example of a bifurcation in neuron dynamics is the transition from rest to periodic spiking activity. Generation of a single spike is a bifurcation phenomenon too: It can result when the rest potential is close to a bifurcation point, which is often referred to as its threshold value. We discuss these and similar issues in this chapter.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1997 Springer Science+Business Media New York
About this chapter
Cite this chapter
Hoppensteadt, F.C., Izhikevich, E.M. (1997). Bifurcations in Neuron Dynamics. In: Weakly Connected Neural Networks. Applied Mathematical Sciences, vol 126. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1828-9_2
Download citation
DOI: https://doi.org/10.1007/978-1-4612-1828-9_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-7302-8
Online ISBN: 978-1-4612-1828-9
eBook Packages: Springer Book Archive