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Synchronization of quadratic integrate-and-fire spiking neurons: Constant versus voltage-dependent couplings
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Decision and Control Systems (Automatic Control).ORCID iD: 0000-0003-2360-7609
KTH, School of Electrical Engineering and Computer Science (EECS), Intelligent systems, Decision and Control Systems (Automatic Control). KTH, School of Electrical Engineering and Computer Science (EECS), Centres, ACCESS Linnaeus Centre.ORCID iD: 0000-0001-9940-5929
2019 (English)In: Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc. , 2019, p. 4711-4716Conference paper, Published paper (Refereed)
Abstract [en]

This paper studies synchronization of a network of hybrid quadratic integrate-and-fire spiking neurons communicating over a complete graph and interconnected by means of bidirectional electrical couplings. Synchronization of the network of identical neurons with a common and constant coupling strength is studied using a Lyapunov-based argument for sufficiently large coupling strength. In addition, a voltage-dependent coupling law is proposed. It is assumed that each neuron is coupled to each of its neighbors by a coupling law which depends on the voltage of its neighboring neuron. For the voltage-dependent case, a sufficient condition for synchronization of two interconnected neurons is presented. Moreover, a comparison between the two mechanisms is given. Simulation results are provided to verify the theoretical analysis. 

Place, publisher, year, edition, pages
Institute of Electrical and Electronics Engineers Inc. , 2019. p. 4711-4716
Keywords [en]
Couplings, Synchronization, Complete graphs, Coupling law, Coupling strengths, Electrical coupling, Integrate and fires, Spiking neuron, Neurons
National Category
Control Engineering
Identifiers
URN: urn:nbn:se:kth:diva-274098DOI: 10.1109/CDC40024.2019.9028929ISI: 000560779004052Scopus ID: 2-s2.0-85082464335OAI: oai:DiVA.org:kth-274098DiVA, id: diva2:1451482
Conference
58th IEEE Conference on Decision and Control, CDC 2019, 11 December 2019 through 13 December 2019
Note

QC 20200702

Part of ISBN 9781728113982

Available from: 2020-07-02 Created: 2020-07-02 Last updated: 2024-10-23Bibliographically approved

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Jafarian, MatinJohansson, Karl H.

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CiteExportLink to record
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Citation style
  • apa
  • ieee
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Language
  • de-DE
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  • fi-FI
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Output format
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