Synchronization patterns in LIF neuron networks: merging nonlocal and diagonal connectivity

Nefeli-Dimitra Tsigkri-DeSmedt, Ioannis Koulierakis, Georgios Karakos and Astero Provata ()
Additional contact information
Nefeli-Dimitra Tsigkri-DeSmedt: Institute of Nanoscience and Nanotechnology, National Center for Scientific Research “Demokritos”
Ioannis Koulierakis: Institute of Nanoscience and Nanotechnology, National Center for Scientific Research “Demokritos”
Georgios Karakos: Institute of Nanoscience and Nanotechnology, National Center for Scientific Research “Demokritos”
Astero Provata: Institute of Nanoscience and Nanotechnology, National Center for Scientific Research “Demokritos”

The European Physical Journal B: Condensed Matter and Complex Systems, 2018, vol. 91, issue 12, 1-13

Abstract: Abstract The effects of nonlocal and reflecting connectivities have been previously investigated in coupled Leaky Integrate-and-Fire (LIF) elements, which assimilate the exchange of electrical signals between neurons. In this work, we investigate the effect of diagonal coupling inspired by findings in brain neuron connectivity. Multi-chimera states are reported both for the simple diagonal and combined nonlocal–diagonal connectivities, and we determine the range of optimal parameter regions where chimera states appear. Overall, the measures of coherence indicate that as the coupling range increases (below all-to-all coupling) the emergence of chimera states is favored and the mean phase velocity deviations between coherent and incoherent regions become more prominent. A number of novel synchronization phenomena are induced as a result of the combined connectivity. We record that for coupling strengths σ 1. In the intermediate regime, σ ~ 1, the oscillators have common mean phase velocity (i.e., are frequency-locked) but different phases (i.e., they are phase-asynchronous). Solitary states are recorded for small values of the coupling strength, which grow into chimera states as the coupling strength increases. We determine parameter values where the combined effects of nonlocal and diagonal coupling generate chimera states with two different levels of synchronous domains mediated by asynchronous regions. Graphical abstract

Keywords: Statistical; and; Nonlinear; Physics (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1140/epjb/e2018-90478-8 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:eurphb:v:91:y:2018:i:12:d:10.1140_epjb_e2018-90478-8

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/10051

DOI: 10.1140/epjb/e2018-90478-8

Access Statistics for this article

The European Physical Journal B: Condensed Matter and Complex Systems is currently edited by P. Hänggi and Angel Rubio

More articles in The European Physical Journal B: Condensed Matter and Complex Systems from Springer, EDP Sciences
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().