Planar Dynamical Systems : Selected Classical Problems
In 2008, November 23-28, the workshop of ”Classical Problems on Planar Polynomial Vector Fields ” was held in the Banff International Research Station, Canada. Called'classical problems', it was concerned with the following: (1) Problems on integrability of planar polynomial vector fields. (2) The p...
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| Formato: | Libro |
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De Gruyter
2014
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=nlebk&AN=886876&site=ehost-live header: @attributes: shortDbName: nlebk uiTerm: 886876 longDbName: eBook Collection (EBSCOhost) uiTag: AN controlInfo: bkinfo: btl: Planar Dynamical Systems : Selected Classical Problems aug: au: Yirong Liu Jibin Li Wentao Huang isbn: 9783110298291 9783110298369 9783110389142 imageinfo: pubinfo: dt: @attributes: year: 2014 month: 01 day: 01 dtAvail: @attributes: year: 2016 month: 02 day: 17 ed: 2014 pub: De Gruyter pubContract: De Gruyter place: Berlin price: 0.01 limitsGroup: maxCheckoutDays: 1500 pda: N printPagesOffline: 100 printPagesOnline: 100 previewPages: 10000 prePubGroup: dewey: @attributes: class: 003.83 item: 003 .83 lc: @attributes: class: QA845 .L58 2014 item: QA 845 .L58 2014 artinfo: ui: 886876 897443935 formats: fmt: – @attributes: type: EB doid: NL$886876$PDF caption: PDF download: Y – @attributes: type: EK doid: NL$886876$EPUB caption: EPUB download: Y tig: atl: Planar Dynamical Systems : Selected Classical Problems ptl: Planar Dynamical Systems aug: au: Yirong Liu Jibin Li Wentao Huang su: Dynamics sug: subj: MATHEMATICS / Applied MATHEMATICS / Game Theory MATHEMATICS / Recreations & Games MATHEMATICS / Vector Analysis MATHEMATICS / Functional Analysis Dynamics ab: In 2008, November 23-28, the workshop of ”Classical Problems on Planar Polynomial Vector Fields ” was held in the Banff International Research Station, Canada. Called'classical problems', it was concerned with the following: (1) Problems on integrability of planar polynomial vector fields. (2) The problem of the center stated by Poincaré for real polynomial differential systems, which asks us to recognize when a planar vector field defined by polynomials of degree at most n possesses a singularity which is a center. (3) Global geometry of specific classes of planar polynomial vector fields. (4) Hilbert's 16th problem. These problems had been posed more than 110 years ago. Therefore, they are called'classical problems'in the studies of the theory of dynamical systems. The qualitative theory and stability theory of differential equations, created by Poincaré and Lyapunov at the end of the 19th century, had major developments as two branches of the theory of dynamical systems during the 20th century. As a part of the basic theory of nonlinear science, it is one of the very active areas in the new millennium. This book presents in an elementary way the recent significant developments in the qualitative theory of planar dynamical systems. The subjects are covered as follows: the studies of center and isochronous center problems, multiple Hopf bifurcations and local and global bifurcations of the equivariant planar vector fields which concern with Hilbert's 16th problem. The book is intended for graduate students, post-doctors and researchers in dynamical systems. For all engineers who are interested in the theory of dynamical systems, it is also a reasonable reference. It requires a minimum background of a one-year course on nonlinear differential equations. pubtype: eBook doctype: Book ougenre: Book language: English copyright: @attributes: flag: N copyrightText: holdings: @attributes: islocal: N |
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