The dynamical behavior of a weakly diluted fully inhibitory network of pulse-coupled spiking neurons is investigated. Upon increasing the coupling strength, a transition from regular to stochasticlike regime is observed. In the weak-coupling phase, a periodic dynamics is rapidly approached, with all neurons firing with the same rate and mutually phase locked. The strong-coupling phase is characterized by an irregular pattern, even though the maximum Lyapunov exponent is negative. The paradox is solved by drawing an analogy with the phenomenon of 'stable chaos,' i.e., by observing that the stochasticlike behavior is 'limited' to an exponentially long (with the system size) transient. Remarkably, the transient dynamics turns out to be stationary.
Desynchronization in diluted neural networks
Livi, R.;Politi, A.;Torcini, A.
2006
Abstract
The dynamical behavior of a weakly diluted fully inhibitory network of pulse-coupled spiking neurons is investigated. Upon increasing the coupling strength, a transition from regular to stochasticlike regime is observed. In the weak-coupling phase, a periodic dynamics is rapidly approached, with all neurons firing with the same rate and mutually phase locked. The strong-coupling phase is characterized by an irregular pattern, even though the maximum Lyapunov exponent is negative. The paradox is solved by drawing an analogy with the phenomenon of 'stable chaos,' i.e., by observing that the stochasticlike behavior is 'limited' to an exponentially long (with the system size) transient. Remarkably, the transient dynamics turns out to be stationary.| Campo DC | Valore | Lingua |
|---|---|---|
| dc.authority.ancejournal | PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS | en |
| dc.authority.orgunit | Istituto dei Sistemi Complessi - ISC | en |
| dc.authority.orgunit | INFM | en |
| dc.authority.people | Zillmer, R. | en |
| dc.authority.people | Livi, R. | en |
| dc.authority.people | Politi, A. | en |
| dc.authority.people | Torcini, A. | en |
| dc.collection.id.s | b3f88f24-048a-4e43-8ab1-6697b90e068e | * |
| dc.collection.name | 01.01 Articolo in rivista | * |
| dc.contributor.appartenenza | Istituto dei Sistemi Complessi - ISC | * |
| dc.contributor.appartenenza.mi | 1036 | * |
| dc.date.accessioned | 2024/02/18 03:44:32 | - |
| dc.date.available | 2024/02/18 03:44:32 | - |
| dc.date.issued | 2006 | - |
| dc.description.abstracteng | The dynamical behavior of a weakly diluted fully inhibitory network of pulse-coupled spiking neurons is investigated. Upon increasing the coupling strength, a transition from regular to stochasticlike regime is observed. In the weak-coupling phase, a periodic dynamics is rapidly approached, with all neurons firing with the same rate and mutually phase locked. The strong-coupling phase is characterized by an irregular pattern, even though the maximum Lyapunov exponent is negative. The paradox is solved by drawing an analogy with the phenomenon of 'stable chaos,' i.e., by observing that the stochasticlike behavior is 'limited' to an exponentially long (with the system size) transient. Remarkably, the transient dynamics turns out to be stationary. | - |
| dc.description.affiliations | 1) INFN Sezione Firenze, via Sansone 1, I-50019 Sesto Fiorentino, Italy 2) Dipartimento di Fisica, Universitá di Firenze, via Sansone 1, I-50019 Sesto Fiorentino, Italy 3) Sezione INFN, Unita INFM e Centro Interdipartimentale per lo Studio delle Dinamiche Complesse, via Sansone 1, I-50019 Sesto Fiorentino, Italy 4) Istituto dei Sistemi Complessi, CNR, CNR, via Madonna del Piano 10, I-50019 Sesto Fiorentino, Italy 5) Centro Interdipartimentale per lo Studio delle Dinamiche Complesse, via Sansone 1, I-50019 Sesto Fiorentino | - |
| dc.description.allpeople | Zillmer, R.; Livi, R.; Politi, A.; Torcini, A. | - |
| dc.description.allpeopleoriginal | Zillmer, R.; Livi, R.; Politi, A.; Torcini, A. | en |
| dc.description.fulltext | restricted | en |
| dc.description.numberofauthors | 4 | - |
| dc.identifier.doi | 10.1103/PhysRevE.74.036203 | en |
| dc.identifier.isi | WOS:000240870300040 | - |
| dc.identifier.scopus | 2-s2.0-33748426952 | - |
| dc.identifier.uri | https://hdl.handle.net/20.500.14243/143611 | - |
| dc.identifier.url | https://journals.aps.org/pre/abstract/10.1103/PhysRevE.74.036203 | en |
| dc.language.iso | eng | en |
| dc.relation.firstpage | 036203 | en |
| dc.relation.numberofpages | 10 | en |
| dc.relation.volume | 74 | en |
| dc.subject.keywords | PARTIAL SYNCHRONIZATION | - |
| dc.subject.keywords | COMPLEX NETWORKS | - |
| dc.subject.keywords | OSCILLATORS | - |
| dc.subject.keywords | TRANSIENTS | - |
| dc.subject.keywords | Neural networks | - |
| dc.subject.singlekeyword | PARTIAL SYNCHRONIZATION | * |
| dc.subject.singlekeyword | COMPLEX NETWORKS | * |
| dc.subject.singlekeyword | OSCILLATORS | * |
| dc.subject.singlekeyword | TRANSIENTS | * |
| dc.subject.singlekeyword | Neural networks | * |
| dc.title | Desynchronization in diluted neural networks | en |
| dc.type.driver | info:eu-repo/semantics/article | - |
| dc.type.full | 01 Contributo su Rivista::01.01 Articolo in rivista | it |
| dc.type.miur | 262 | - |
| dc.type.referee | Sì, ma tipo non specificato | en |
| dc.ugov.descaux1 | 166994 | - |
| iris.isi.extIssued | 2006 | - |
| iris.isi.extTitle | Desynchronization in diluted neural networks | - |
| iris.mediafilter.data | 2025/04/02 00:26:16 | * |
| iris.orcid.lastModifiedDate | 2025/03/01 07:12:48 | * |
| iris.orcid.lastModifiedMillisecond | 1740809568275 | * |
| iris.scopus.extIssued | 2006 | - |
| iris.scopus.extTitle | Desynchronization in diluted neural networks | - |
| iris.sitodocente.maxattempts | 5 | - |
| iris.unpaywall.bestoahost | repository | * |
| iris.unpaywall.doi | 10.1103/physreve.74.036203 | * |
| iris.unpaywall.hosttype | repository | * |
| iris.unpaywall.isoa | true | * |
| iris.unpaywall.journalisindoaj | false | * |
| iris.unpaywall.landingpage | http://arxiv.org/abs/cond-mat/0603154 | * |
| iris.unpaywall.metadataCallLastModified | 15/06/2025 07:11:25 | - |
| iris.unpaywall.metadataCallLastModifiedMillisecond | 1749964285349 | - |
| iris.unpaywall.oastatus | green | * |
| iris.unpaywall.pdfurl | https://arxiv.org/pdf/cond-mat/0603154 | * |
| isi.authority.ancejournal | PHYSICAL REVIEW. E###2470-0045 | * |
| isi.category | UF | * |
| isi.category | UR | * |
| isi.contributor.affiliation | - | |
| isi.contributor.affiliation | - | |
| isi.contributor.affiliation | - | |
| isi.contributor.affiliation | - | |
| isi.contributor.country | - | |
| isi.contributor.country | - | |
| isi.contributor.country | - | |
| isi.contributor.country | - | |
| isi.contributor.name | Rudiger | - |
| isi.contributor.name | Roberto | - |
| isi.contributor.name | Antonio | - |
| isi.contributor.name | Alessandro | - |
| isi.contributor.researcherId | EIR-7062-2022 | - |
| isi.contributor.researcherId | GBV-1001-2022 | - |
| isi.contributor.researcherId | D-5529-2015 | - |
| isi.contributor.researcherId | AAI-7275-2020 | - |
| isi.contributor.subaffiliation | - | |
| isi.contributor.subaffiliation | - | |
| isi.contributor.subaffiliation | - | |
| isi.contributor.subaffiliation | - | |
| isi.contributor.surname | Zillmer | - |
| isi.contributor.surname | Livi | - |
| isi.contributor.surname | Politi | - |
| isi.contributor.surname | Torcini | - |
| isi.date.issued | 2006 | * |
| isi.description.abstracteng | The dynamical behavior of a weakly diluted fully inhibitory network of pulse-coupled spiking neurons is investigated. Upon increasing the coupling strength, a transition from regular to stochasticlike regime is observed. In the weak-coupling phase, a periodic dynamics is rapidly approached, with all neurons firing with the same rate and mutually phase locked. The strong-coupling phase is characterized by an irregular pattern, even though the maximum Lyapunov exponent is negative. The paradox is solved by drawing an analogy with the phenomenon of "stable chaos," i.e., by observing that the stochasticlike behavior is "limited" to an exponentially long (with the system size) transient. Remarkably, the transient dynamics turns out to be stationary. | * |
| isi.description.allpeopleoriginal | Zillmer, R; Livi, R; Politi, A; Torcini, A; | * |
| isi.document.sourcetype | WOS.SCI | * |
| isi.document.type | Article | * |
| isi.document.types | Article | * |
| isi.identifier.doi | 10.1103/PhysRevE.74.036203 | * |
| isi.identifier.eissn | 2470-0053 | * |
| isi.identifier.isi | WOS:000240870300040 | * |
| isi.journal.journaltitle | PHYSICAL REVIEW E | * |
| isi.journal.journaltitleabbrev | PHYS REV E | * |
| isi.language.original | English | * |
| isi.publisher.place | ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA | * |
| isi.relation.issue | 3 | * |
| isi.relation.volume | 74 | * |
| isi.title | Desynchronization in diluted neural networks | * |
| scopus.authority.ancejournal | PHYSICAL REVIEW E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS###1539-3755 | * |
| scopus.category | 3109 | * |
| scopus.category | 2610 | * |
| scopus.category | 3104 | * |
| scopus.category | 3100 | * |
| scopus.contributor.affiliation | INFN Sezione Firenze | - |
| scopus.contributor.affiliation | Centro Interdipartimentale per Lo Studio Delle Dinamiche Complesse | - |
| scopus.contributor.affiliation | Centro Interdipartimentale per Lo Studio Delle Dinamiche Complesse | - |
| scopus.contributor.affiliation | Centro Interdipartimentale per Lo Studio Delle Dinamiche Complesse | - |
| scopus.contributor.afid | 60113678 | - |
| scopus.contributor.afid | 60113678 | - |
| scopus.contributor.afid | 100579988 | - |
| scopus.contributor.afid | 100579988 | - |
| scopus.contributor.auid | 16242850600 | - |
| scopus.contributor.auid | 35601560600 | - |
| scopus.contributor.auid | 8715369300 | - |
| scopus.contributor.auid | 56028770100 | - |
| scopus.contributor.country | Italy | - |
| scopus.contributor.country | Italy | - |
| scopus.contributor.country | Italy | - |
| scopus.contributor.country | Italy | - |
| scopus.contributor.dptid | - | |
| scopus.contributor.dptid | - | |
| scopus.contributor.dptid | - | |
| scopus.contributor.dptid | - | |
| scopus.contributor.name | Rüdiger | - |
| scopus.contributor.name | Roberto | - |
| scopus.contributor.name | Antonio | - |
| scopus.contributor.name | Alessandro | - |
| scopus.contributor.subaffiliation | - | |
| scopus.contributor.subaffiliation | Sezione INFN;Unita' INFM; | - |
| scopus.contributor.subaffiliation | - | |
| scopus.contributor.subaffiliation | - | |
| scopus.contributor.surname | Zillmer | - |
| scopus.contributor.surname | Livi | - |
| scopus.contributor.surname | Politi | - |
| scopus.contributor.surname | Torcini | - |
| scopus.date.issued | 2006 | * |
| scopus.description.abstracteng | The dynamical behavior of a weakly diluted fully inhibitory network of pulse-coupled spiking neurons is investigated. Upon increasing the coupling strength, a transition from regular to stochasticlike regime is observed. In the weak-coupling phase, a periodic dynamics is rapidly approached, with all neurons firing with the same rate and mutually phase locked. The strong-coupling phase is characterized by an irregular pattern, even though the maximum Lyapunov exponent is negative. The paradox is solved by drawing an analogy with the phenomenon of "stable chaos," i.e., by observing that the stochasticlike behavior is "limited" to an exponentially long (with the system size) transient. Remarkably, the transient dynamics turns out to be stationary. © 2006 The American Physical Society. | * |
| scopus.description.allpeopleoriginal | Zillmer R.; Livi R.; Politi A.; Torcini A. | * |
| scopus.differences | scopus.description.allpeopleoriginal | * |
| scopus.differences | scopus.description.abstracteng | * |
| scopus.differences | scopus.relation.issue | * |
| scopus.document.type | ar | * |
| scopus.document.types | ar | * |
| scopus.identifier.doi | 10.1103/PhysRevE.74.036203 | * |
| scopus.identifier.eissn | 1550-2376 | * |
| scopus.identifier.pui | 44343487 | * |
| scopus.identifier.scopus | 2-s2.0-33748426952 | * |
| scopus.journal.sourceid | 21101276710 | * |
| scopus.language.iso | eng | * |
| scopus.relation.article | 036203 | * |
| scopus.relation.issue | 3 | * |
| scopus.relation.volume | 74 | * |
| scopus.title | Desynchronization in diluted neural networks | * |
| scopus.titleeng | Desynchronization in diluted neural networks | * |
| Appare nelle tipologie: | 01.01 Articolo in rivista | |
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
prod_166994-doc_18056.pdf
solo utenti autorizzati
Descrizione: Desynchronization in diluted neural networks
Tipologia:
Versione Editoriale (PDF)
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
632.61 kB
Formato
Adobe PDF
|
632.61 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
