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Motif of Two Coupled Phase Equations with Inhibitory Couplings as a Simple Model of the Half-Center Oscillator

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Mathematical Modeling and Supercomputer Technologies (MMST 2022)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 1750))

Abstract

We propose a new simple model of the half-center oscillator (HCO) consists of two oscillatory neurons interacting via the inhibitory coupling. We found the regions of dynamics, typical for central pattern generators, in the parameter space of the model. Various bifurcation transitions between all these states are in the focus of the proposed study.

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Acknowledgements

This work was supported by the Ministry of Science and Education of Russian Federation (Project No. 0729-2020-0036).

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Authors and Affiliations

  1. Lobachevsky University, Nizhny Novgorod, 603950, Russia

    Artyom Emelin, Alexander Korotkov, Tatiana Levanova & Grigory Osipov

Authors
  1. Artyom Emelin
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  2. Alexander Korotkov
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  3. Tatiana Levanova
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  4. Grigory Osipov
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Corresponding author

Correspondence to Tatiana Levanova .

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Editors and Affiliations

  1. Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia

    Dmitry Balandin

  2. Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia

    Konstantin Barkalov

  3. Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, Russia

    Iosif Meyerov

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Emelin, A., Korotkov, A., Levanova, T., Osipov, G. (2022). Motif of Two Coupled Phase Equations with Inhibitory Couplings as a Simple Model of the Half-Center Oscillator. In: Balandin, D., Barkalov, K., Meyerov, I. (eds) Mathematical Modeling and Supercomputer Technologies. MMST 2022. Communications in Computer and Information Science, vol 1750. Springer, Cham. https://doi.org/10.1007/978-3-031-24145-1_7

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  • DOI: https://doi.org/10.1007/978-3-031-24145-1_7

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-24144-4

  • Online ISBN: 978-3-031-24145-1

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