000 02680nam a22004815i 4500
001 978-3-7643-8410-4
003 DE-He213
005 20161121231133.0
007 cr nn 008mamaa
008 100301s2007 sz | s |||| 0|eng d
020 _a9783764384104
_9978-3-7643-8410-4
024 7 _a10.1007/978-3-7643-8410-4
_2doi
050 4 _aQA372
072 7 _aPBKJ
_2bicssc
072 7 _aMAT007000
_2bisacsh
082 0 4 _a515.352
_223
100 1 _aChristopher, Colin.
_eauthor.
245 1 0 _aLimit Cycles of Differential Equations
_h[electronic resource] /
_cby Colin Christopher, Chengzhi Li.
264 1 _aBasel :
_bBirkhäuser Basel,
_c2007.
300 _aVIII, 171 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aAdvanced Courses in Mathematics CRM Barcelona
505 0 _aAround the Center-Focus Problem -- Centers and Limit Cycles -- Darboux Integrability -- Liouvillian Integrability -- Symmetry -- Cherkas’ Systems -- Monodromy -- The Tangential Center-Focus Problem -- Monodromy of Hyperelliptic Abelian Integrals -- Holonomy and the Lotka-Volterra System -- Other Approaches -- Abelian Integrals and Applications to the Weak Hilbert’s 16th Problem -- Hilbert’s 16th Problem and Its Weak Form -- Abelian Integrals and Limit Cycles -- Estimate of the Number of Zeros of Abelian Integrals -- A Unified Proof of the Weak Hilbert’s 16th Problem for n=2.
520 _aThis textbook contains the lecture series originally delivered at the "Advanced Course on Limit Cycles of Differential Equations" in the Centre de Recerca Matemàtica Barcelona in 2006. The topics covered are the center-focus problem for polynomial vector fields, and the application of abelian integrals to limit cycle bifurcations. Both topics are related to Hilbert's sixteenth problem. In particular, the book will be of interest to students and researchers working in the qualitative theory of dynamical systems.
650 0 _aMathematics.
650 0 _aDynamics.
650 0 _aErgodic theory.
650 0 _aDifferential equations.
650 1 4 _aMathematics.
650 2 4 _aOrdinary Differential Equations.
650 2 4 _aDynamical Systems and Ergodic Theory.
700 1 _aLi, Chengzhi.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783764384098
830 0 _aAdvanced Courses in Mathematics CRM Barcelona
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-7643-8410-4
912 _aZDB-2-SMA
950 _aMathematics and Statistics (Springer-11649)
999 _c509113
_d509113