date: 2022-02-14T08:50:20Z pdf:PDFVersion: 1.7 pdf:docinfo:title: Recurrence-Based Synchronization Analysis of Weakly Coupled Bursting Neurons under External ELF Fields xmp:CreatorTool: LaTeX with hyperref Keywords: neuron; electric field; weak coupling; gap junction; synchronization; recurrence plot access_permission:modify_annotations: true access_permission:can_print_degraded: true subject: We investigate the response characteristics of a two-dimensional neuron model exposed to an externally applied extremely low frequency (ELF) sinusoidal electric field and the synchronization of neurons weakly coupled with gap junction. We find, by numerical simulations, that neurons can exhibit different spiking patterns, which are well observed in the structure of the recurrence plot (RP). We further study the synchronization between weakly coupled neurons in chaotic regimes under the influence of a weak ELF electric field. In general, detecting the phases of chaotic spiky signals is not easy by using standard methods. Recurrence analysis provides a reliable tool for defining phases even for noncoherent regimes or spiky signals. Recurrence-based synchronization analysis reveals that, even in the range of weak coupling, phase synchronization of the coupled neurons occurs and, by adding an ELF electric field, this synchronization increases depending on the amplitude of the externally applied ELF electric field. We further suggest a novel measure for RP-based phase synchronization analysis, which better takes into account the probabilities of recurrences. dc:creator: Aissatou Mboussi Nkomidio, Eulalie Ketchamen Ngamga, Blaise Romeo Nana Nbendjo, Jürgen Kurths, and Norbert Marwan[width=0.32cm]Definitions/logo-orcid.eps0000-0003-1437-7039 dcterms:created: 2022-02-14T08:46:22Z Last-Modified: 2022-02-14T08:50:20Z dcterms:modified: 2022-02-14T08:50:20Z dc:format: application/pdf; version=1.7 title: Recurrence-Based Synchronization Analysis of Weakly Coupled Bursting Neurons under External ELF Fields Last-Save-Date: 2022-02-14T08:50:20Z pdf:docinfo:creator_tool: LaTeX with hyperref access_permission:fill_in_form: true pdf:docinfo:keywords: neuron; electric field; weak coupling; gap junction; synchronization; recurrence plot pdf:docinfo:modified: 2022-02-14T08:50:20Z meta:save-date: 2022-02-14T08:50:20Z pdf:encrypted: false dc:title: Recurrence-Based Synchronization Analysis of Weakly Coupled Bursting Neurons under External ELF Fields modified: 2022-02-14T08:50:20Z cp:subject: We investigate the response characteristics of a two-dimensional neuron model exposed to an externally applied extremely low frequency (ELF) sinusoidal electric field and the synchronization of neurons weakly coupled with gap junction. We find, by numerical simulations, that neurons can exhibit different spiking patterns, which are well observed in the structure of the recurrence plot (RP). We further study the synchronization between weakly coupled neurons in chaotic regimes under the influence of a weak ELF electric field. In general, detecting the phases of chaotic spiky signals is not easy by using standard methods. Recurrence analysis provides a reliable tool for defining phases even for noncoherent regimes or spiky signals. Recurrence-based synchronization analysis reveals that, even in the range of weak coupling, phase synchronization of the coupled neurons occurs and, by adding an ELF electric field, this synchronization increases depending on the amplitude of the externally applied ELF electric field. We further suggest a novel measure for RP-based phase synchronization analysis, which better takes into account the probabilities of recurrences. pdf:docinfo:subject: We investigate the response characteristics of a two-dimensional neuron model exposed to an externally applied extremely low frequency (ELF) sinusoidal electric field and the synchronization of neurons weakly coupled with gap junction. We find, by numerical simulations, that neurons can exhibit different spiking patterns, which are well observed in the structure of the recurrence plot (RP). We further study the synchronization between weakly coupled neurons in chaotic regimes under the influence of a weak ELF electric field. In general, detecting the phases of chaotic spiky signals is not easy by using standard methods. Recurrence analysis provides a reliable tool for defining phases even for noncoherent regimes or spiky signals. Recurrence-based synchronization analysis reveals that, even in the range of weak coupling, phase synchronization of the coupled neurons occurs and, by adding an ELF electric field, this synchronization increases depending on the amplitude of the externally applied ELF electric field. We further suggest a novel measure for RP-based phase synchronization analysis, which better takes into account the probabilities of recurrences. Content-Type: application/pdf pdf:docinfo:creator: Aissatou Mboussi Nkomidio, Eulalie Ketchamen Ngamga, Blaise Romeo Nana Nbendjo, Jürgen Kurths, and Norbert Marwan[width=0.32cm]Definitions/logo-orcid.eps0000-0003-1437-7039 X-Parsed-By: org.apache.tika.parser.DefaultParser creator: Aissatou Mboussi Nkomidio, Eulalie Ketchamen Ngamga, Blaise Romeo Nana Nbendjo, Jürgen Kurths, and Norbert Marwan[width=0.32cm]Definitions/logo-orcid.eps0000-0003-1437-7039 meta:author: Aissatou Mboussi Nkomidio, Eulalie Ketchamen Ngamga, Blaise Romeo Nana Nbendjo, Jürgen Kurths, and Norbert Marwan[width=0.32cm]Definitions/logo-orcid.eps0000-0003-1437-7039 dc:subject: neuron; electric field; weak coupling; gap junction; synchronization; recurrence plot meta:creation-date: 2022-02-14T08:46:22Z created: Mon Feb 14 09:46:22 CET 2022 access_permission:extract_for_accessibility: true access_permission:assemble_document: true xmpTPg:NPages: 17 Creation-Date: 2022-02-14T08:46:22Z access_permission:extract_content: true access_permission:can_print: true meta:keyword: neuron; electric field; weak coupling; gap junction; synchronization; recurrence plot Author: Aissatou Mboussi Nkomidio, Eulalie Ketchamen Ngamga, Blaise Romeo Nana Nbendjo, Jürgen Kurths, and Norbert Marwan[width=0.32cm]Definitions/logo-orcid.eps0000-0003-1437-7039 producer: pdfTeX-1.40.21 access_permission:can_modify: true pdf:docinfo:producer: pdfTeX-1.40.21 pdf:docinfo:created: 2022-02-14T08:46:22Z