Synchronization transition in networked chaotic oscillators: the viewpoint from partial synchronization

Synchronization transition in networks of nonlocally coupled chaotic oscillators is investigated. It is found that in reaching the state of global synchronization the networks can stay in various states of partial synchronization. The stability of the partial synchronization states is analyzed by th...

Full description

Saved in:
Bibliographic Details
Published in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2014-05, Vol.89 (5), p.052908-052908, Article 052908
Main Authors: Fu, Chenbo, Lin, Weijie, Huang, Liang, Wang, Xingang
Format: Article
Language:English
Subjects:
Action Potentials - physiology
Animals
Biological Clocks - physiology
Cortical Synchronization - physiology
Feedback, Physiological - physiology
Humans
Nerve Net - physiology
Neurons - physiology
Nonlinear Dynamics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by cdi_FETCH-LOGICAL-c303t-465fe41fa0fe95209bf6580f8de41e455d66d5a5963f7b33574462d9de3885423
cites cdi_FETCH-LOGICAL-c303t-465fe41fa0fe95209bf6580f8de41e455d66d5a5963f7b33574462d9de3885423
container_end_page 052908
container_issue 5
container_start_page 052908
container_title Physical review. E, Statistical, nonlinear, and soft matter physics
container_volume 89
creator Fu, Chenbo
Lin, Weijie
Huang, Liang
Wang, Xingang
description Synchronization transition in networks of nonlocally coupled chaotic oscillators is investigated. It is found that in reaching the state of global synchronization the networks can stay in various states of partial synchronization. The stability of the partial synchronization states is analyzed by the method of eigenvalue analysis, in which the important roles of the network topological symmetry on synchronization transition are identified. Moreover, for networks possessing multiple topological symmetries, it is found that the synchronization transition can be divided into different stages, with each stage characterized by a unique synchronous pattern of the oscillators. Synchronization transitions in networks of nonsymmetric topology and nonidentical oscillators are also investigated, where the partial synchronization states, although unstable, are found to be still playing important roles in the transitions.
doi_str_mv 10.1103/PhysRevE.89.052908
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_miscellaneous_1639972304</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1639972304</sourcerecordid><originalsourceid>FETCH-LOGICAL-c303t-465fe41fa0fe95209bf6580f8de41e455d66d5a5963f7b33574462d9de3885423</originalsourceid><addsrcrecordid>eNpVkMtOwzAURC0EoqXwAyyQl2xSHN_YsdmhqjykSiAe68hNbGpo4mC7rcrXk9IWidUdXc2MRgeh85QM05TA1dNsHZ71cjwUckgYlUQcoH7KGEko5Pxwo0EmkDPWQychfBACFER2jHqUAQPBaR-9v6ybcuZdY79VtK7B0asm2F9pG9zouHL-U1e4nCkXbYldKO18rqLz4RrHmcZLq1ets03Exrsat8pHq-Y4_O89RUdGzYM-290Bersdv47uk8nj3cPoZpKUQCAmGWdGZ6lRxGjJKJFTw5kgRlTdV2eMVZxXTDHJweRTAJZnGaeVrDQIwTIKA3S57W29-1roEIvahlJ3ixvtFqFIOUiZUyBZZ6Vba-ldCF6bovW2Vn5dpKTYAC72gAshiy3gLnSx619Ma139RfZE4QdUB3sL</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>1639972304</pqid></control><display><type>article</type><title>Synchronization transition in networked chaotic oscillators: the viewpoint from partial synchronization</title><source>American Physical Society:Jisc Collections:APS Read and Publish 2023-2025 (reading list)</source><creator>Fu, Chenbo ; Lin, Weijie ; Huang, Liang ; Wang, Xingang</creator><creatorcontrib>Fu, Chenbo ; Lin, Weijie ; Huang, Liang ; Wang, Xingang</creatorcontrib><description>Synchronization transition in networks of nonlocally coupled chaotic oscillators is investigated. It is found that in reaching the state of global synchronization the networks can stay in various states of partial synchronization. The stability of the partial synchronization states is analyzed by the method of eigenvalue analysis, in which the important roles of the network topological symmetry on synchronization transition are identified. Moreover, for networks possessing multiple topological symmetries, it is found that the synchronization transition can be divided into different stages, with each stage characterized by a unique synchronous pattern of the oscillators. Synchronization transitions in networks of nonsymmetric topology and nonidentical oscillators are also investigated, where the partial synchronization states, although unstable, are found to be still playing important roles in the transitions.</description><identifier>ISSN: 1539-3755</identifier><identifier>EISSN: 1550-2376</identifier><identifier>DOI: 10.1103/PhysRevE.89.052908</identifier><identifier>PMID: 25353862</identifier><language>eng</language><publisher>United States</publisher><subject>Action Potentials - physiology ; Animals ; Biological Clocks - physiology ; Cortical Synchronization - physiology ; Feedback, Physiological - physiology ; Humans ; Nerve Net - physiology ; Neurons - physiology ; Nonlinear Dynamics</subject><ispartof>Physical review. E, Statistical, nonlinear, and soft matter physics, 2014-05, Vol.89 (5), p.052908-052908, Article 052908</ispartof><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c303t-465fe41fa0fe95209bf6580f8de41e455d66d5a5963f7b33574462d9de3885423</citedby><cites>FETCH-LOGICAL-c303t-465fe41fa0fe95209bf6580f8de41e455d66d5a5963f7b33574462d9de3885423</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,777,781,27905,27906</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/25353862$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><creatorcontrib>Fu, Chenbo</creatorcontrib><creatorcontrib>Lin, Weijie</creatorcontrib><creatorcontrib>Huang, Liang</creatorcontrib><creatorcontrib>Wang, Xingang</creatorcontrib><title>Synchronization transition in networked chaotic oscillators: the viewpoint from partial synchronization</title><title>Physical review. E, Statistical, nonlinear, and soft matter physics</title><addtitle>Phys Rev E Stat Nonlin Soft Matter Phys</addtitle><description>Synchronization transition in networks of nonlocally coupled chaotic oscillators is investigated. It is found that in reaching the state of global synchronization the networks can stay in various states of partial synchronization. The stability of the partial synchronization states is analyzed by the method of eigenvalue analysis, in which the important roles of the network topological symmetry on synchronization transition are identified. Moreover, for networks possessing multiple topological symmetries, it is found that the synchronization transition can be divided into different stages, with each stage characterized by a unique synchronous pattern of the oscillators. Synchronization transitions in networks of nonsymmetric topology and nonidentical oscillators are also investigated, where the partial synchronization states, although unstable, are found to be still playing important roles in the transitions.</description><subject>Action Potentials - physiology</subject><subject>Animals</subject><subject>Biological Clocks - physiology</subject><subject>Cortical Synchronization - physiology</subject><subject>Feedback, Physiological - physiology</subject><subject>Humans</subject><subject>Nerve Net - physiology</subject><subject>Neurons - physiology</subject><subject>Nonlinear Dynamics</subject><issn>1539-3755</issn><issn>1550-2376</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2014</creationdate><recordtype>article</recordtype><recordid>eNpVkMtOwzAURC0EoqXwAyyQl2xSHN_YsdmhqjykSiAe68hNbGpo4mC7rcrXk9IWidUdXc2MRgeh85QM05TA1dNsHZ71cjwUckgYlUQcoH7KGEko5Pxwo0EmkDPWQychfBACFER2jHqUAQPBaR-9v6ybcuZdY79VtK7B0asm2F9pG9zouHL-U1e4nCkXbYldKO18rqLz4RrHmcZLq1ets03Exrsat8pHq-Y4_O89RUdGzYM-290Bersdv47uk8nj3cPoZpKUQCAmGWdGZ6lRxGjJKJFTw5kgRlTdV2eMVZxXTDHJweRTAJZnGaeVrDQIwTIKA3S57W29-1roEIvahlJ3ixvtFqFIOUiZUyBZZ6Vba-ldCF6bovW2Vn5dpKTYAC72gAshiy3gLnSx619Ma139RfZE4QdUB3sL</recordid><startdate>201405</startdate><enddate>201405</enddate><creator>Fu, Chenbo</creator><creator>Lin, Weijie</creator><creator>Huang, Liang</creator><creator>Wang, Xingang</creator><scope>CGR</scope><scope>CUY</scope><scope>CVF</scope><scope>ECM</scope><scope>EIF</scope><scope>NPM</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7X8</scope></search><sort><creationdate>201405</creationdate><title>Synchronization transition in networked chaotic oscillators: the viewpoint from partial synchronization</title><author>Fu, Chenbo ; Lin, Weijie ; Huang, Liang ; Wang, Xingang</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c303t-465fe41fa0fe95209bf6580f8de41e455d66d5a5963f7b33574462d9de3885423</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2014</creationdate><topic>Action Potentials - physiology</topic><topic>Animals</topic><topic>Biological Clocks - physiology</topic><topic>Cortical Synchronization - physiology</topic><topic>Feedback, Physiological - physiology</topic><topic>Humans</topic><topic>Nerve Net - physiology</topic><topic>Neurons - physiology</topic><topic>Nonlinear Dynamics</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Fu, Chenbo</creatorcontrib><creatorcontrib>Lin, Weijie</creatorcontrib><creatorcontrib>Huang, Liang</creatorcontrib><creatorcontrib>Wang, Xingang</creatorcontrib><collection>Medline</collection><collection>MEDLINE</collection><collection>MEDLINE (Ovid)</collection><collection>MEDLINE</collection><collection>MEDLINE</collection><collection>PubMed</collection><collection>CrossRef</collection><collection>MEDLINE - Academic</collection><jtitle>Physical review. E, Statistical, nonlinear, and soft matter physics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Fu, Chenbo</au><au>Lin, Weijie</au><au>Huang, Liang</au><au>Wang, Xingang</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Synchronization transition in networked chaotic oscillators: the viewpoint from partial synchronization</atitle><jtitle>Physical review. E, Statistical, nonlinear, and soft matter physics</jtitle><addtitle>Phys Rev E Stat Nonlin Soft Matter Phys</addtitle><date>2014-05</date><risdate>2014</risdate><volume>89</volume><issue>5</issue><spage>052908</spage><epage>052908</epage><pages>052908-052908</pages><artnum>052908</artnum><issn>1539-3755</issn><eissn>1550-2376</eissn><abstract>Synchronization transition in networks of nonlocally coupled chaotic oscillators is investigated. It is found that in reaching the state of global synchronization the networks can stay in various states of partial synchronization. The stability of the partial synchronization states is analyzed by the method of eigenvalue analysis, in which the important roles of the network topological symmetry on synchronization transition are identified. Moreover, for networks possessing multiple topological symmetries, it is found that the synchronization transition can be divided into different stages, with each stage characterized by a unique synchronous pattern of the oscillators. Synchronization transitions in networks of nonsymmetric topology and nonidentical oscillators are also investigated, where the partial synchronization states, although unstable, are found to be still playing important roles in the transitions.</abstract><cop>United States</cop><pmid>25353862</pmid><doi>10.1103/PhysRevE.89.052908</doi><tpages>1</tpages></addata></record>
fulltext fulltext
identifier ISSN: 1539-3755
ispartof Physical review. E, Statistical, nonlinear, and soft matter physics, 2014-05, Vol.89 (5), p.052908-052908, Article 052908
issn 1539-3755
1550-2376
language eng
recordid cdi_proquest_miscellaneous_1639972304
source American Physical Society:Jisc Collections:APS Read and Publish 2023-2025 (reading list)
subjects Action Potentials - physiology
Animals
Biological Clocks - physiology
Cortical Synchronization - physiology
Feedback, Physiological - physiology
Humans
Nerve Net - physiology
Neurons - physiology
Nonlinear Dynamics
title Synchronization transition in networked chaotic oscillators: the viewpoint from partial synchronization
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-19T15%3A27%3A38IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Synchronization%20transition%20in%20networked%20chaotic%20oscillators:%20the%20viewpoint%20from%20partial%20synchronization&rft.jtitle=Physical%20review.%20E,%20Statistical,%20nonlinear,%20and%20soft%20matter%20physics&rft.au=Fu,%20Chenbo&rft.date=2014-05&rft.volume=89&rft.issue=5&rft.spage=052908&rft.epage=052908&rft.pages=052908-052908&rft.artnum=052908&rft.issn=1539-3755&rft.eissn=1550-2376&rft_id=info:doi/10.1103/PhysRevE.89.052908&rft_dat=%3Cproquest_cross%3E1639972304%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c303t-465fe41fa0fe95209bf6580f8de41e455d66d5a5963f7b33574462d9de3885423%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=1639972304&rft_id=info:pmid/25353862&rfr_iscdi=true