Spike-burst synchronization in an ensemble of electrically coupled discrete model neurons
In this paper, we study the dynamics of a system of two model neurons interacting via the electrical synapse. Each neuron is described by a two-dimensional discontinuous map. A chaotic relaxational-type attractor, which corresponds to the spiking-bursting chaotic oscillations of neurons is shown to...
Gespeichert in:
| Veröffentlicht in: | Radiophysics and quantum electronics 2011-06, Vol.54 (1), p.56-73 |
|---|---|
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| container_end_page | 73 |
|---|---|
| container_issue | 1 |
| container_start_page | 56 |
| container_title | Radiophysics and quantum electronics |
| container_volume | 54 |
| creator | Nekorkin, V. I. Maslennikov, O. V. |
| description | In this paper, we study the dynamics of a system of two model neurons interacting via the electrical synapse. Each neuron is described by a two-dimensional discontinuous map. A chaotic relaxational-type attractor, which corresponds to the spiking-bursting chaotic oscillations of neurons is shown to exist in a four-dimensional phase space. It is found that the dynamical mechanism of formation of chaotic bursts is based on a new phenomenon of generation of transient chaotic oscillations. It is demonstrated that transition from the chaotic-burst generation to the state of relative rest occurs with a certain time delay. A new characteristic which estimates the degree of synchronization of the spiking-bursting oscillations is introduced. The dependence of the synchronization degree on the strength of coupling of the ensemble elements is studied. |
| doi_str_mv | 10.1007/s11141-011-9271-y |
| format | Article |
| fullrecord | <record><control><sourceid>gale_cross</sourceid><recordid>TN_cdi_gale_infotracacademiconefile_A361241638</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><galeid>A361241638</galeid><sourcerecordid>A361241638</sourcerecordid><originalsourceid>FETCH-LOGICAL-c327t-2d2d2df4d8e6eac2fc92a33046967126d39e1173bd9bcf844bf14044b28ec51b3</originalsourceid><addsrcrecordid>eNp9kM1KAzEUhYMoWKsP4C4vkJqbTOdnWYp_ILhQF65CJnNTU2eSkkwX49ObMq7lLA5c7nfgHEJuga-A8-ouAUABjAOwRlTApjOygHUlWQOCn5MF51KyuijkJblKac95pop6QT7fDu4bWXuMaaRp8uYrBu9-9OiCp85T7Sn6hEPbIw2WYo9mjM7ovp-oCcdDjx3tXDIRR6RD6LCnHo85I12TC6v7hDd_viQfD_fv2yf28vr4vN28MCNFNTLRnWSLrsYStRHWNEJLyYuyKSsQZScbBKhk2zWtsblBa6Hg2USNZg2tXJLVnLvTPSrnbRijNlkdDs4Ej9bl-0aWIAooZZ0BmAETQ0oRrTpEN-g4KeDqNKaax1R5THUaU02ZETOT8q_fYVT7cIw-9_oH-gWeeHlr</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>Spike-burst synchronization in an ensemble of electrically coupled discrete model neurons</title><source>SpringerLink Journals - AutoHoldings</source><creator>Nekorkin, V. I. ; Maslennikov, O. V.</creator><creatorcontrib>Nekorkin, V. I. ; Maslennikov, O. V.</creatorcontrib><description>In this paper, we study the dynamics of a system of two model neurons interacting via the electrical synapse. Each neuron is described by a two-dimensional discontinuous map. A chaotic relaxational-type attractor, which corresponds to the spiking-bursting chaotic oscillations of neurons is shown to exist in a four-dimensional phase space. It is found that the dynamical mechanism of formation of chaotic bursts is based on a new phenomenon of generation of transient chaotic oscillations. It is demonstrated that transition from the chaotic-burst generation to the state of relative rest occurs with a certain time delay. A new characteristic which estimates the degree of synchronization of the spiking-bursting oscillations is introduced. The dependence of the synchronization degree on the strength of coupling of the ensemble elements is studied.</description><identifier>ISSN: 0033-8443</identifier><identifier>EISSN: 1573-9120</identifier><identifier>DOI: 10.1007/s11141-011-9271-y</identifier><language>eng</language><publisher>Boston: Springer US</publisher><subject>Analysis ; Astronomy ; Astrophysics and Astroparticles ; Hadrons ; Heavy Ions ; Lasers ; Mathematical and Computational Physics ; Neurons ; Nuclear Physics ; Observations and Techniques ; Optical Devices ; Optics ; Photonics ; Physics ; Physics and Astronomy ; Quantum Optics ; Theoretical</subject><ispartof>Radiophysics and quantum electronics, 2011-06, Vol.54 (1), p.56-73</ispartof><rights>Springer Science+Business Media, Inc. 2011</rights><rights>COPYRIGHT 2011 Springer</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c327t-2d2d2df4d8e6eac2fc92a33046967126d39e1173bd9bcf844bf14044b28ec51b3</citedby><cites>FETCH-LOGICAL-c327t-2d2d2df4d8e6eac2fc92a33046967126d39e1173bd9bcf844bf14044b28ec51b3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s11141-011-9271-y$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s11141-011-9271-y$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27903,27904,41467,42536,51297</link.rule.ids></links><search><creatorcontrib>Nekorkin, V. I.</creatorcontrib><creatorcontrib>Maslennikov, O. V.</creatorcontrib><title>Spike-burst synchronization in an ensemble of electrically coupled discrete model neurons</title><title>Radiophysics and quantum electronics</title><addtitle>Radiophys Quantum El</addtitle><description>In this paper, we study the dynamics of a system of two model neurons interacting via the electrical synapse. Each neuron is described by a two-dimensional discontinuous map. A chaotic relaxational-type attractor, which corresponds to the spiking-bursting chaotic oscillations of neurons is shown to exist in a four-dimensional phase space. It is found that the dynamical mechanism of formation of chaotic bursts is based on a new phenomenon of generation of transient chaotic oscillations. It is demonstrated that transition from the chaotic-burst generation to the state of relative rest occurs with a certain time delay. A new characteristic which estimates the degree of synchronization of the spiking-bursting oscillations is introduced. The dependence of the synchronization degree on the strength of coupling of the ensemble elements is studied.</description><subject>Analysis</subject><subject>Astronomy</subject><subject>Astrophysics and Astroparticles</subject><subject>Hadrons</subject><subject>Heavy Ions</subject><subject>Lasers</subject><subject>Mathematical and Computational Physics</subject><subject>Neurons</subject><subject>Nuclear Physics</subject><subject>Observations and Techniques</subject><subject>Optical Devices</subject><subject>Optics</subject><subject>Photonics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quantum Optics</subject><subject>Theoretical</subject><issn>0033-8443</issn><issn>1573-9120</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2011</creationdate><recordtype>article</recordtype><recordid>eNp9kM1KAzEUhYMoWKsP4C4vkJqbTOdnWYp_ILhQF65CJnNTU2eSkkwX49ObMq7lLA5c7nfgHEJuga-A8-ouAUABjAOwRlTApjOygHUlWQOCn5MF51KyuijkJblKac95pop6QT7fDu4bWXuMaaRp8uYrBu9-9OiCp85T7Sn6hEPbIw2WYo9mjM7ovp-oCcdDjx3tXDIRR6RD6LCnHo85I12TC6v7hDd_viQfD_fv2yf28vr4vN28MCNFNTLRnWSLrsYStRHWNEJLyYuyKSsQZScbBKhk2zWtsblBa6Hg2USNZg2tXJLVnLvTPSrnbRijNlkdDs4Ej9bl-0aWIAooZZ0BmAETQ0oRrTpEN-g4KeDqNKaax1R5THUaU02ZETOT8q_fYVT7cIw-9_oH-gWeeHlr</recordid><startdate>20110601</startdate><enddate>20110601</enddate><creator>Nekorkin, V. I.</creator><creator>Maslennikov, O. V.</creator><general>Springer US</general><general>Springer</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20110601</creationdate><title>Spike-burst synchronization in an ensemble of electrically coupled discrete model neurons</title><author>Nekorkin, V. I. ; Maslennikov, O. V.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c327t-2d2d2df4d8e6eac2fc92a33046967126d39e1173bd9bcf844bf14044b28ec51b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2011</creationdate><topic>Analysis</topic><topic>Astronomy</topic><topic>Astrophysics and Astroparticles</topic><topic>Hadrons</topic><topic>Heavy Ions</topic><topic>Lasers</topic><topic>Mathematical and Computational Physics</topic><topic>Neurons</topic><topic>Nuclear Physics</topic><topic>Observations and Techniques</topic><topic>Optical Devices</topic><topic>Optics</topic><topic>Photonics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quantum Optics</topic><topic>Theoretical</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Nekorkin, V. I.</creatorcontrib><creatorcontrib>Maslennikov, O. V.</creatorcontrib><collection>CrossRef</collection><jtitle>Radiophysics and quantum electronics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Nekorkin, V. I.</au><au>Maslennikov, O. V.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Spike-burst synchronization in an ensemble of electrically coupled discrete model neurons</atitle><jtitle>Radiophysics and quantum electronics</jtitle><stitle>Radiophys Quantum El</stitle><date>2011-06-01</date><risdate>2011</risdate><volume>54</volume><issue>1</issue><spage>56</spage><epage>73</epage><pages>56-73</pages><issn>0033-8443</issn><eissn>1573-9120</eissn><abstract>In this paper, we study the dynamics of a system of two model neurons interacting via the electrical synapse. Each neuron is described by a two-dimensional discontinuous map. A chaotic relaxational-type attractor, which corresponds to the spiking-bursting chaotic oscillations of neurons is shown to exist in a four-dimensional phase space. It is found that the dynamical mechanism of formation of chaotic bursts is based on a new phenomenon of generation of transient chaotic oscillations. It is demonstrated that transition from the chaotic-burst generation to the state of relative rest occurs with a certain time delay. A new characteristic which estimates the degree of synchronization of the spiking-bursting oscillations is introduced. The dependence of the synchronization degree on the strength of coupling of the ensemble elements is studied.</abstract><cop>Boston</cop><pub>Springer US</pub><doi>10.1007/s11141-011-9271-y</doi><tpages>18</tpages></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0033-8443 |
| ispartof | Radiophysics and quantum electronics, 2011-06, Vol.54 (1), p.56-73 |
| issn | 0033-8443 1573-9120 |
| language | eng |
| recordid | cdi_gale_infotracacademiconefile_A361241638 |
| source | SpringerLink Journals - AutoHoldings |
| subjects | Analysis Astronomy Astrophysics and Astroparticles Hadrons Heavy Ions Lasers Mathematical and Computational Physics Neurons Nuclear Physics Observations and Techniques Optical Devices Optics Photonics Physics Physics and Astronomy Quantum Optics Theoretical |
| title | Spike-burst synchronization in an ensemble of electrically coupled discrete model neurons |
| url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-26T06%3A00%3A41IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-gale_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Spike-burst%20synchronization%20in%20an%20ensemble%20of%20electrically%20coupled%20discrete%20model%20neurons&rft.jtitle=Radiophysics%20and%20quantum%20electronics&rft.au=Nekorkin,%20V.%20I.&rft.date=2011-06-01&rft.volume=54&rft.issue=1&rft.spage=56&rft.epage=73&rft.pages=56-73&rft.issn=0033-8443&rft.eissn=1573-9120&rft_id=info:doi/10.1007/s11141-011-9271-y&rft_dat=%3Cgale_cross%3EA361241638%3C/gale_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_id=info:pmid/&rft_galeid=A361241638&rfr_iscdi=true |