Please use this identifier to cite or link to this item:
http://hdl.handle.net/10397/4795
DC Field | Value | Language |
---|---|---|
dc.contributor | Department of Electronic and Information Engineering | - |
dc.creator | Li, K | - |
dc.creator | Small, M | - |
dc.creator | Fu, X | - |
dc.date.accessioned | 2014-12-11T08:24:24Z | - |
dc.date.available | 2014-12-11T08:24:24Z | - |
dc.identifier.issn | 1539-3755 | - |
dc.identifier.uri | http://hdl.handle.net/10397/4795 | - |
dc.language.iso | en | en_US |
dc.publisher | American Physical Society | en_US |
dc.rights | Physical Review E © 2007 The American Physical Society. The Journal's web site is located at http://pre.aps.org/ | en_US |
dc.subject | Dynamical systems | en_US |
dc.subject | Synchronization | en_US |
dc.subject | Coupled map lattices | en_US |
dc.subject | Synchronization | en_US |
dc.subject | Coupled oscillators | en_US |
dc.subject | Structures and organization in complex systems | en_US |
dc.subject | Networks and genealogical trees | en_US |
dc.title | Contraction stability and transverse stability of synchronization in complex networks | en_US |
dc.type | Journal/Magazine Article | en_US |
dc.identifier.spage | 1 | - |
dc.identifier.epage | 7 | - |
dc.identifier.volume | 76 | - |
dc.identifier.issue | 5 | - |
dc.identifier.doi | 10.1103/PhysRevE.76.056213 | - |
dcterms.abstract | We consider discrete dynamical networks, and analytically demonstrate the relation between transverse stability in the Milnor sense and contraction stability, the stability for synchronous manifolds obtained via the partial contraction principle. By contraction for a system, we mean that initial conditions or temporary disturbances are forgotten exponentially fast, so that all trajectories of this system converge to a unique trajectory. In addition, synchronization of star-shaped complex networks is investigated via the partial contraction principle. This example further verifies the interrelation between contraction and transverse stability. | - |
dcterms.accessRights | open access | en_US |
dcterms.bibliographicCitation | Physical review. E, Statistical, nonlinear, and soft matter physics, Nov. 2007, v. 76, no. 5, 056213, p. 1-7 | - |
dcterms.isPartOf | Physical review. E, Statistical, nonlinear, and soft matter physics | - |
dcterms.issued | 2007-11-16 | - |
dc.identifier.isi | WOS:000251326200041 | - |
dc.identifier.scopus | 2-s2.0-36249001201 | - |
dc.identifier.eissn | 1550-2376 | - |
dc.identifier.rosgroupid | r38431 | - |
dc.description.ros | 2007-2008 > Academic research: refereed > Publication in refereed journal | - |
dc.description.oa | Version of Record | en_US |
dc.identifier.FolderNumber | OA_IR/PIRA | en_US |
dc.description.pubStatus | Published | en_US |
dc.description.oaCategory | VoR allowed | en_US |
Appears in Collections: | Journal/Magazine Article |
Files in This Item:
File | Description | Size | Format | |
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Li_Contraction_Stability_Transverse.pdf | 125.13 kB | Adobe PDF | View/Open |
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