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Bifurcations in Neuron Dynamics

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Weakly Connected Neural Networks

Part of the book series: Applied Mathematical Sciences ((AMS,volume 126))

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.

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© 1997 Springer Science+Business Media New York

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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

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  • 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

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