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Reconstruction of coupling structure in network of neuron-like oscillators based on a phase-locked loop

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  • Sysoeva, Marina V.
  • Sysoev, Ilya V.
  • Prokhorov, Mikhail D.
  • Ponomarenko, Vladimir I.
  • Bezruchko, Boris P.

Abstract

We study the problem of reconstructing the model equations for the network of 3rd order neuron-like oscillators from time series. The nodes of the network are phase-locked loop systems, which are able to exhibit different dynamical regimes including quasiharmonic oscillations, spiking, bursting, and chaotic behavior. Different network topologies are considered, including star, ring, chain, and random architectures.

Suggested Citation

  • Sysoeva, Marina V. & Sysoev, Ilya V. & Prokhorov, Mikhail D. & Ponomarenko, Vladimir I. & Bezruchko, Boris P., 2021. "Reconstruction of coupling structure in network of neuron-like oscillators based on a phase-locked loop," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    • Handle: RePEc:eee:chsofr:v:142:y:2021:i:c:s096007792030905x
    DOI: 10.1016/j.chaos.2020.110513
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    References listed on IDEAS

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    1. Bezruchko, Boris P. & Smirnov, Dmitry A. & Sysoev, Ilya V., 2006. "Identification of chaotic systems with hidden variables (modified Bock’s algorithm)," Chaos, Solitons & Fractals, Elsevier, vol. 29(1), pages 82-90.
    2. Jose Casadiego & Mor Nitzan & Sarah Hallerberg & Marc Timme, 2017. "Model-free inference of direct network interactions from nonlinear collective dynamics," Nature Communications, Nature, vol. 8(1), pages 1-10, December.
    3. Luis A. Aguirre & Christophe Letellier, 2009. "Modeling Nonlinear Dynamics and Chaos: A Review," Mathematical Problems in Engineering, Hindawi, vol. 2009, pages 1-35, June.
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    1. Bezruchko, B.P. & Ponomarenko, V.I. & Smirnov, D.A. & Sysoev, I.V. & Prokhorov, M.D., 2021. "Class-oriented techniques for reconstruction of dynamics from time series," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).

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