Encyclopedia of Computational Neuroscience

Living Edition
| Editors: Dieter Jaeger, Ranu Jung

Bifurcations, Neural Population Models and

  • Thomas R. Knösche
Living reference work entry

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DOI: https://doi.org/10.1007/978-1-4614-7320-6_53-2


In neural population models (NPMs), as in dynamical systems in general, smooth changes in system parameters, for example, coupling strength, input levels, and time constants, may result in sudden qualitative changes in system dynamics, such as the occurrence or disappearance of oscillatory or chaotic behavior. Such phenomena are referred to as bifurcations and are interesting because they may account for switching phenomena, which are common in both brain signals and organisms’ behavior.

Detailed Description

Depending on their particular parameter set, NPMs experience different asymptotic dynamic behaviors characterized by constant output, harmonic (i.e., sinusoidal) or nonharmonic oscillations, which can be periodic or quasiperiodic (i.e., the signal repeats itself approximately, but not exactly), and even chaotic behavior (Frascoli et al. 2011; Spiegler et al. 2010, 2011). The transitions in parameter space between these qualitatively different states are called...


Periodic Orbit Pyramidal Cell Bifurcation Diagram Homoclinic Orbit Input Level 
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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Max Planck Institute for Human Cognitive and Brain SciencesLeipzigGermany