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Synchronization regimes in a map-based model neural network

Author

Listed:
  • Agnes, E.J.
  • Erichsen, R.
  • Brunnet, L.G.

Abstract

The dynamical activity of a neural network model composed of electrically connected map-based neurons is investigated. After detailing the behavior of the isolated neuron for a wide parameter range, collective network states are depicted using the activity, spatial correlation and time phase distribution as measures. A detailed discussion on the stability of global and partial synchronization states is presented.

Suggested Citation

  • Agnes, E.J. & Erichsen, R. & Brunnet, L.G., 2010. "Synchronization regimes in a map-based model neural network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(3), pages 651-658.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:3:p:651-658
    DOI: 10.1016/j.physa.2009.10.012
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    References listed on IDEAS

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    1. Mainieri, M.S. & Erichsen, R. & Brunnet, L.G., 2005. "Time evolution of coherent structures in networks of Hindmarch–Rose neurons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 354(C), pages 663-671.
    2. Brunnet, Leonardo G. & Chaté, Hugues, 1998. "Phase coherence in chaotic oscillatory media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 257(1), pages 347-356.
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    Citations

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    Cited by:

    1. Agnes, Everton J. & Erichsen, Rubem & Brunnet, Leonardo G., 2012. "Model architecture for associative memory in a neural network of spiking neurons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(3), pages 843-848.
    2. Gosak, Marko & Markovič, Rene & Marhl, Marko, 2012. "The role of neural architecture and the speed of signal propagation in the process of synchronization of bursting neurons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(8), pages 2764-2770.
    3. Assis, Vladimir R.V. & Copelli, Mauro, 2012. "Collective behavior of coupled nonuniform stochastic oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1900-1906.

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    2. Mainieri, M.S. & Erichsen, R. & Brunnet, L.G., 2005. "Time evolution of coherent structures in networks of Hindmarch–Rose neurons," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 354(C), pages 663-671.

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