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Multistability in Neurodynamics: Overview

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Encyclopedia of Computational Neuroscience

Synonyms

Bistability; Coexistence; Fold bifurcation; Hysteresis; Subcritical bifurcation

Definition

Multistability in neurodynamics is the coexistence of two or more observable regimes of activity, i.e., attractors, in the phase space of a neuronal system. In the absence of noise or perturbation, the neuronal system permanently exhibits one of the regimes. Multistability suggests that by an appropriate choice of perturbation or by resetting the initial state of the system, one could induce a switch from one regime into another.

Detailed Description

Multistable neuronal system can exhibit two or more regimes of activity, depending on its initial state. Both isolated neurons and neuronal networks can exhibit coexistence of several activity regimes. The coexistence of silence, subthreshold oscillations, tonic spiking, and bursting regimes with each other has been observed in a number of theoretical and experimental studies. A multistable neuronal system can show long-lasting responses to...

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Acknowledgment

This work was supported by National Science Foundation grant PHY-0750456.

Author information

Authors and Affiliations

  1. The Neuroscience Institute, Georgia State University, 100 Piedmont Ave, SE, 5030, 30303, Atlanta, GA, USA

    Gennady Cymbalyuk

Authors
  1. Gennady Cymbalyuk
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Corresponding author

Correspondence to Gennady Cymbalyuk .

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Editors and Affiliations

  1. Department of Biology, Emory University, Atlanta, GA, USA

    Dieter Jaeger

  2. Department of Biomedical Engineering, Florida International University, Miami, FL, USA

    Ranu Jung

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Cymbalyuk, G. (2015). Multistability in Neurodynamics: Overview. In: Jaeger, D., Jung, R. (eds) Encyclopedia of Computational Neuroscience. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-6675-8_442

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