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Bifurcation of Limit Cycles in Two Given Planar Polynomial Systems

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dc.contributor.authorHong, Xiao Chun
dc.contributor.authorQin, Qing Hua
dc.coverage.spatialChangchun China
dc.date.accessioned2015-12-08T22:35:59Z
dc.date.createdJune 17-19 2011
dc.date.issued2012
dc.date.updated2016-02-24T10:48:02Z
dc.description.abstractBifurcation of limit cycles in two given planar polynomial systems is investigated by using both qualitative analysis and numerical exploration. The investigation is based on detection functions which are particularly effective for the perturbed planar polynomial systems. The study reveals that each of the two systems has 8 limit cycles. By using method of numerical simulation, the distributed orderliness of the 8 limit cycles is observed, and their nicety places are determined. The study also indicates that each of the 8 limit cycles passes the corresponding nicety point. The results presented here are helpful for further investigating the Hilbert's 16th problem.
dc.identifier.isbn9783642257667
dc.identifier.urihttp://hdl.handle.net/1885/35072
dc.publisherSpringer
dc.relation.ispartofseriesWorld Congress on Computer Science and Information Engineering (CSIE 2011)
dc.sourceRecent Advances in Computer Science and Information Engineering
dc.subjectKeywords: Bifurcation of limit cycle; Detection functions; Hilbert's 16th problem; Limit cycle; Non-Hamiltonian systems; Numerical exploration; Planar polynomials; Qualitative analysis; Bifurcation (mathematics); Computer science; Delta sigma modulation; Polynomial Detection function; Integrable non-Hamiltonian system; Limit cycle; Numerical exploration
dc.titleBifurcation of Limit Cycles in Two Given Planar Polynomial Systems
dc.typeConference paper
local.bibliographicCitation.lastpage713
local.bibliographicCitation.startpage705
local.contributor.affiliationHong, Xiao Chun, Qujing Normal University
local.contributor.affiliationQin, Qing Hua, College of Engineering and Computer Science, ANU
local.contributor.authoruidQin, Qing Hua, u4119044
local.description.embargo2037-12-31
local.description.notesImported from ARIES
local.description.refereedYes
local.identifier.absfor010302 - Numerical Solution of Differential and Integral Equations
local.identifier.absseo970109 - Expanding Knowledge in Engineering
local.identifier.ariespublicationu4265029xPUB120
local.identifier.doi10.1007/978-3-642-25766-7-94
local.identifier.scopusID2-s2.0-84866261022
local.type.statusPublished Version

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