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Systems Theory for the Analysis of Biological Neuron Dynamics

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Advanced Models of Neural Networks
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Abstract

The chapter analyzes the basics of systems theory which can be used in the modelling of biological neurons dynamics. To understand the oscillatory behavior of biological neurons benchmark examples of oscillators are given. Moreover, using as an example, the model of biological neurons the following properties are analyzed: phase diagram, isoclines, attractors, local stability, bifurcations of fixed points, and chaotic dynamics.

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Rigatos, G.G. (2015). Systems Theory for the Analysis of Biological Neuron Dynamics. In: Advanced Models of Neural Networks. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-43764-3_2

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  • DOI: https://doi.org/10.1007/978-3-662-43764-3_2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-43763-6

  • Online ISBN: 978-3-662-43764-3

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