Control of coherence in excitable systems by the interplay of noise and time-delay
. The control of coherence and spectral properties of noise-induced oscillations by time delayed feedback is studied in a FitzHugh-Nagumo system and analyzed by reduced non-Markovian models. A two-state approach is considered as an abstract simplification of this excitable system. Rest and excited s...
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| Veröffentlicht in: | The European physical journal. ST, Special topics Special topics, 2010-12, Vol.191 (1), p.29-51 |
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| container_title | The European physical journal. ST, Special topics |
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| creator | Kouvaris, N. Schimansky-Geier, L. Schöll, E. |
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The control of coherence and spectral properties of noise-induced oscillations by time delayed feedback is studied in a FitzHugh-Nagumo system and analyzed by reduced non-Markovian models. A two-state approach is considered as an abstract simplification of this excitable system. Rest and excited states are characterized by different waiting time distributions. This non-Markovian approach allows one to predict quantitatively the increase of coherence measured by the correlation time, and the modulation of the main frequencies of the stochastic dynamics in dependence on the delay time below Hopf bifurcations. Beyond the Hopf bifurcation, bulk oscillations of an ensemble of excitable two-state rotators emerge in the onset of coherent activation in case of delayed mean field coupling of the ensemble. |
| doi_str_mv | 10.1140/epjst/e2010-01340-x |
| format | Article |
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The control of coherence and spectral properties of noise-induced oscillations by time delayed feedback is studied in a FitzHugh-Nagumo system and analyzed by reduced non-Markovian models. A two-state approach is considered as an abstract simplification of this excitable system. Rest and excited states are characterized by different waiting time distributions. This non-Markovian approach allows one to predict quantitatively the increase of coherence measured by the correlation time, and the modulation of the main frequencies of the stochastic dynamics in dependence on the delay time below Hopf bifurcations. Beyond the Hopf bifurcation, bulk oscillations of an ensemble of excitable two-state rotators emerge in the onset of coherent activation in case of delayed mean field coupling of the ensemble.</description><identifier>ISSN: 1951-6355</identifier><identifier>EISSN: 1951-6401</identifier><identifier>DOI: 10.1140/epjst/e2010-01340-x</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer-Verlag</publisher><subject>Activation ; Atomic ; Classical and Continuum Physics ; Coherence ; Condensed Matter Physics ; Control systems ; Dynamical systems ; Dynamics ; Excitation ; Hopf bifurcation ; Materials Science ; Measurement Science and Instrumentation ; Minireview ; Molecular ; Optical and Plasma Physics ; Oscillations ; Physics ; Physics and Astronomy</subject><ispartof>The European physical journal. ST, Special topics, 2010-12, Vol.191 (1), p.29-51</ispartof><rights>EDP Sciences and Springer 2011</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c326t-3f8ada2839c2260022061bf8a3504d02e05a629ed4671db3eb48c4a948297bfe3</citedby><cites>FETCH-LOGICAL-c326t-3f8ada2839c2260022061bf8a3504d02e05a629ed4671db3eb48c4a948297bfe3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1140/epjst/e2010-01340-x$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1140/epjst/e2010-01340-x$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Kouvaris, N.</creatorcontrib><creatorcontrib>Schimansky-Geier, L.</creatorcontrib><creatorcontrib>Schöll, E.</creatorcontrib><title>Control of coherence in excitable systems by the interplay of noise and time-delay</title><title>The European physical journal. ST, Special topics</title><addtitle>Eur. Phys. J. Spec. Top</addtitle><description>.
The control of coherence and spectral properties of noise-induced oscillations by time delayed feedback is studied in a FitzHugh-Nagumo system and analyzed by reduced non-Markovian models. A two-state approach is considered as an abstract simplification of this excitable system. Rest and excited states are characterized by different waiting time distributions. This non-Markovian approach allows one to predict quantitatively the increase of coherence measured by the correlation time, and the modulation of the main frequencies of the stochastic dynamics in dependence on the delay time below Hopf bifurcations. Beyond the Hopf bifurcation, bulk oscillations of an ensemble of excitable two-state rotators emerge in the onset of coherent activation in case of delayed mean field coupling of the ensemble.</description><subject>Activation</subject><subject>Atomic</subject><subject>Classical and Continuum Physics</subject><subject>Coherence</subject><subject>Condensed Matter Physics</subject><subject>Control systems</subject><subject>Dynamical systems</subject><subject>Dynamics</subject><subject>Excitation</subject><subject>Hopf bifurcation</subject><subject>Materials Science</subject><subject>Measurement Science and Instrumentation</subject><subject>Minireview</subject><subject>Molecular</subject><subject>Optical and Plasma Physics</subject><subject>Oscillations</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><issn>1951-6355</issn><issn>1951-6401</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2010</creationdate><recordtype>article</recordtype><recordid>eNp9kMtOwzAQRS0EEqXwBWy8Y2U6fiRNlqjiJVVCQrC2HGdCUyV2sF2p-XvSFrasZnTnntHMJeSWwz3nChY4bGNaoAAODLhUwPZnZMbLjLNcAT__62WWXZKrGLcAWS5KOSPvK-9S8B31DbV-gwGdRdo6invbJlN1SOMYE_aRViNNm8MsYRg6Mx4Q59uI1LiaprZHVuOkX5OLxnQRb37rnHw-PX6sXtj67fl19bBmVoo8MdkUpjaikKUVIgcQAnJeTaLMQNUgEDIz3Yi1ype8riRWqrDKlKoQ5bJqUM7J3WnvEPz3DmPSfRstdp1x6HdRF3lZAF-qYnLKk9MGH2PARg-h7U0YNQd9CFAfA9THAPUxQL2fKHWi4uR2Xxj01u-Cm176F_sBT2R3aQ</recordid><startdate>20101201</startdate><enddate>20101201</enddate><creator>Kouvaris, N.</creator><creator>Schimansky-Geier, L.</creator><creator>Schöll, E.</creator><general>Springer-Verlag</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7U5</scope><scope>8FD</scope><scope>L7M</scope></search><sort><creationdate>20101201</creationdate><title>Control of coherence in excitable systems by the interplay of noise and time-delay</title><author>Kouvaris, N. ; Schimansky-Geier, L. ; Schöll, E.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c326t-3f8ada2839c2260022061bf8a3504d02e05a629ed4671db3eb48c4a948297bfe3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2010</creationdate><topic>Activation</topic><topic>Atomic</topic><topic>Classical and Continuum Physics</topic><topic>Coherence</topic><topic>Condensed Matter Physics</topic><topic>Control systems</topic><topic>Dynamical systems</topic><topic>Dynamics</topic><topic>Excitation</topic><topic>Hopf bifurcation</topic><topic>Materials Science</topic><topic>Measurement Science and Instrumentation</topic><topic>Minireview</topic><topic>Molecular</topic><topic>Optical and Plasma Physics</topic><topic>Oscillations</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Kouvaris, N.</creatorcontrib><creatorcontrib>Schimansky-Geier, L.</creatorcontrib><creatorcontrib>Schöll, E.</creatorcontrib><collection>CrossRef</collection><collection>Solid State and Superconductivity Abstracts</collection><collection>Technology Research Database</collection><collection>Advanced Technologies Database with Aerospace</collection><jtitle>The European physical journal. ST, Special topics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Kouvaris, N.</au><au>Schimansky-Geier, L.</au><au>Schöll, E.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Control of coherence in excitable systems by the interplay of noise and time-delay</atitle><jtitle>The European physical journal. ST, Special topics</jtitle><stitle>Eur. Phys. J. Spec. Top</stitle><date>2010-12-01</date><risdate>2010</risdate><volume>191</volume><issue>1</issue><spage>29</spage><epage>51</epage><pages>29-51</pages><issn>1951-6355</issn><eissn>1951-6401</eissn><abstract>.
The control of coherence and spectral properties of noise-induced oscillations by time delayed feedback is studied in a FitzHugh-Nagumo system and analyzed by reduced non-Markovian models. A two-state approach is considered as an abstract simplification of this excitable system. Rest and excited states are characterized by different waiting time distributions. This non-Markovian approach allows one to predict quantitatively the increase of coherence measured by the correlation time, and the modulation of the main frequencies of the stochastic dynamics in dependence on the delay time below Hopf bifurcations. Beyond the Hopf bifurcation, bulk oscillations of an ensemble of excitable two-state rotators emerge in the onset of coherent activation in case of delayed mean field coupling of the ensemble.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer-Verlag</pub><doi>10.1140/epjst/e2010-01340-x</doi><tpages>23</tpages></addata></record> |
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| subjects | Activation Atomic Classical and Continuum Physics Coherence Condensed Matter Physics Control systems Dynamical systems Dynamics Excitation Hopf bifurcation Materials Science Measurement Science and Instrumentation Minireview Molecular Optical and Plasma Physics Oscillations Physics Physics and Astronomy |
| title | Control of coherence in excitable systems by the interplay of noise and time-delay |
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