000			06231nam a22008775i 4500
001			9783110298369
003			DE-B1597
005			20200803184523.0
006			m|||||o||d||||||||
007			cr || ||||||||
008			190708s2014 gw fo d z eng d
020			_a9783110298369
024	7		_a10.1515/9783110298369 _2doi
035			_a(DE-B1597)178987
035			_a(OCoLC)1013941342
035			_a(OCoLC)1037981853
035			_a(OCoLC)1041994384
035			_a(OCoLC)1046608003
035			_a(OCoLC)1046998525
035			_a(OCoLC)1049611575
035			_a(OCoLC)1054880712
035			_a(OCoLC)896804444
040			_aDE-B1597 _beng _cDE-B1597 _erda
041	0		_aeng
044			_agw _cDE
050		4	_aQA845 _b.L58 2014eb
072		7	_aMAT003000 _2bisacsh
082	0	4	_a510
100	1		_aLiu, Yirong, _eauthor.
245	1	0	_aPlanar Dynamical Systems : _bSelected Classical Problems / _cYirong Liu, Jibin Li, Wentao Huang.
264		1	_aBerlin ; _aBoston : _bDe Gruyter, _c[2014]
264		4	_c©2014
300			_a1 online resource (389 p.)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0	0	_t Frontmatter -- _tPreface -- _tContents -- _tChapter 1. Basic Concept and Linearized Problem of Systems -- _tChapter 2. Focal Values, Saddle Values and Singular Point Values -- _tChapter 3. Multiple Hopf Bifurcations -- _tChapter 4. Isochronous Center In Complex Domain -- _tChapter 5. Theory of Center-Focus and Bifurcation of Limit Cycles at Infinity of a Class of Systems -- _tChapter 6. Theory of Center-Focus and Bifurcations of Limit Cycles for a Class of Multiple Singular Points -- _tChapter 7 On Quasi Analytic Systems -- _tChapter 8. Local and Non-Local Bifurcations of Perturbed Zq-Equivariant Hamiltonian Vector Fields -- _tChapter 9. Center-Focus Problem and Bifurcations of Limit Cycles for a Z2-Equivariant Cubic System -- _tChapter 10. Center-Focus Problem and Bifurcations of Limit Cycles for Three-Multiple Nilpotent Singular Points -- _tBibliography -- _tIndex
506	0		_aOpen Access _uhttps://purl.org/coar/access_right/c_abf2 _funrestricted online access _2star
520			_aIn 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.
538			_aMode of access: Internet via World Wide Web.
540			_aThis eBook is made available Open Access under a CC BY-NC-ND 4.0 license: _uhttps://creativecommons.org/licenses/by-nc-nd/4.0 _uhttps://www.degruyter.com/dg/page/open-access-policy
546			_aIn English.
588	0		_aDescription based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)
650		0	_aDifferential equations.
650		0	_aDynamics.
650		4	_aCenter and isochronous center.
650		4	_aDynamical Systems.
650		4	_aHilbert's 16th problem.
650		4	_aLimit cycle.
650		4	_aMultiple Hopf and global bifurcations.
650		4	_aPlanar Dynamical Systems.
650		4	_aPlanar dynamical system.
650		4	_acenter problems.
650		4	_amultiple Hopf bifurcations.
650		7	_aMATHEMATICS / Applied. _2bisacsh
700	1		_aHuang, Wentao, _eauthor.
700	1		_aLi, Jibin, _eauthor.
700	1		_aScience Press.
773	0	8	_iTitle is part of eBook package: _dDe Gruyter _tDGBA Backlist Complete English Language 2000-2014 PART1 _z9783110238570
773	0	8	_iTitle is part of eBook package: _dDe Gruyter _tDGBA Backlist Mathematics English Language 2000-2014 _z9783110238471
773	0	8	_iTitle is part of eBook package: _dDe Gruyter _tDGBA Mathematics 2000 - 2014 _z9783110637205 _oZDB-23-GMA
773	0	8	_iTitle is part of eBook package: _dDe Gruyter _tEBOOK PACKAGE Complete Package 2014 _z9783110369526 _oZDB-23-DGG
773	0	8	_iTitle is part of eBook package: _dDe Gruyter _tEBOOK PACKAGE Mathematics, Physics 2014 _z9783110370355 _oZDB-23-DEM
776	0		_cEPUB _z9783110389142
776	0		_cprint _z9783110298291
856	4	0	_uhttps://doi.org/10.1515/9783110298369 _zOpen Access
856	4	2	_3Cover _uhttps://www.degruyter.com/doc/cover/9783110298369.jpg
912			_a978-3-11-023847-1 DGBA Backlist Mathematics English Language 2000-2014 _c2000 _d2014
912			_aDGBA Backlist Complete English Language 2000-2014 _c2000 _d2014
912			_aGBV-deGruyter-alles
912			_aZDB-23-DEM _b2014
912			_aZDB-23-DGG _b2014
912			_aZDB-23-GMA _c2000 _d2014
912			_aZDB-23-GOA
999			_c534968 _d534966