Design principle of multi-cluster and desynchronized states in oscillatory media via nonlinear global feedback.
Saved in:
| Title: | Design principle of multi-cluster and desynchronized states in oscillatory media via nonlinear global feedback. |
|---|---|
| Authors: | Kobayashi, Yasuaki1 kobayashi@nsc.es.hokudai.ac.jp, Kori, Hiroshi2,3 kori.hiroshi@ocha.ac.jp |
| Source: | New Journal of Physics. Mar2009, Vol. 11 Issue 3, p1-17. 17p. |
| Subjects: | Semiconductor diffusion, Oscillations, Frequencies of oscillating systems, Electronic feedback, Document clustering |
| Abstract: | A theoretical framework is developed for the precise control of spatial patterns in oscillatory media using nonlinear global feedback, where a proper form of the feedback function corresponding to a specific pattern is predicted through the analysis of a phase diffusion equation with global coupling. In particular, feedback functions that generate the following spatial patterns are analytically given: (i) 2-cluster states with an arbitrary population ratio, (ii) equally populated multi-cluster states and (iii) a desynchronized state. Our method is demonstrated numerically by using the Brusselator model in the oscillatory regime. Experimental realization is also discussed. [ABSTRACT FROM AUTHOR] |
| Copyright of New Journal of Physics is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
|---|---|
| Header | DbId: egs DbLabel: Engineering Source An: 42323897 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
| IllustrationInfo | |
| Items | – Name: Title Label: Title Group: Ti Data: Design principle of multi-cluster and desynchronized states in oscillatory media via nonlinear global feedback. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Kobayashi%2C+Yasuaki%22">Kobayashi, Yasuaki</searchLink><relatesTo>1</relatesTo><i> kobayashi@nsc.es.hokudai.ac.jp</i><br /><searchLink fieldCode="AR" term="%22Kori%2C+Hiroshi%22">Kori, Hiroshi</searchLink><relatesTo>2,3</relatesTo><i> kori.hiroshi@ocha.ac.jp</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22New+Journal+of+Physics%22">New Journal of Physics</searchLink>. Mar2009, Vol. 11 Issue 3, p1-17. 17p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Semiconductor+diffusion%22">Semiconductor diffusion</searchLink><br /><searchLink fieldCode="DE" term="%22Oscillations%22">Oscillations</searchLink><br /><searchLink fieldCode="DE" term="%22Frequencies+of+oscillating+systems%22">Frequencies of oscillating systems</searchLink><br /><searchLink fieldCode="DE" term="%22Electronic+feedback%22">Electronic feedback</searchLink><br /><searchLink fieldCode="DE" term="%22Document+clustering%22">Document clustering</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: A theoretical framework is developed for the precise control of spatial patterns in oscillatory media using nonlinear global feedback, where a proper form of the feedback function corresponding to a specific pattern is predicted through the analysis of a phase diffusion equation with global coupling. In particular, feedback functions that generate the following spatial patterns are analytically given: (i) 2-cluster states with an arbitrary population ratio, (ii) equally populated multi-cluster states and (iii) a desynchronized state. Our method is demonstrated numerically by using the Brusselator model in the oscillatory regime. Experimental realization is also discussed. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of New Journal of Physics is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=42323897 |
| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1088/1367-2630/11/3/033018 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 17 StartPage: 1 Subjects: – SubjectFull: Semiconductor diffusion Type: general – SubjectFull: Oscillations Type: general – SubjectFull: Frequencies of oscillating systems Type: general – SubjectFull: Electronic feedback Type: general – SubjectFull: Document clustering Type: general Titles: – TitleFull: Design principle of multi-cluster and desynchronized states in oscillatory media via nonlinear global feedback. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Kobayashi, Yasuaki – PersonEntity: Name: NameFull: Kori, Hiroshi IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2009 Type: published Y: 2009 Identifiers: – Type: issn-print Value: 13672630 Numbering: – Type: volume Value: 11 – Type: issue Value: 3 Titles: – TitleFull: New Journal of Physics Type: main |
| ResultId | 1 |
