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Limit cycles of differentia...
This 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
Monografía
monografia Rebiun25609400 https://catalogo.rebiun.org/rebiun/record/Rebiun25609400 m o d cr cn||||||||| 081008s2007 sz a ob 000 0 eng d 228165843 228165845 234237965 288230508 402392466 468444499 605692082 607295198 613490942 646750860 698464549 739128942 756427688 880116317 985061919 1005766665 1026457815 1035702164 1044280068 1044391177 1056389019 1056402131 1077260523 1097265609 1097328944 1105601391 1110738291 1110849694 1112557762 1125442855 1136455662 1148147152 9783764384104 3764384107 9780817684099 alk. paper) 0817684093 alk. paper) 9783764384098 alk. paper) 3764384093 alk. paper) 10.1007/978-3-7643-8410-4 doi AU@ 000048771648 DEBSZ 449603571 DKDLA 820120-katalog:000663040 HEBIS 194109100 NLGGC 384194443 NZ1 12058983 978-3-7643-8409-8 Springer http://www.springerlink.com GW5XE eng pn GW5XE OCLCQ YNG OCLCQ NUI COO CEF U5D E7B UBC MNU OCLCO OCLCQ A7U OCLCQ OCLCF MNM SLY UV0 YDXCP OCLCQ EBLCP DEBSZ OCLCQ TXI OCLCQ VT2 Z5A LIP UAB ESU OCLCQ REB STF OCLCQ U3W AU@ OCLCQ WYU ICG YOU CNTRU OCLCQ AUD ZHM DCT ERF UKBTH OCLCQ SFB QA lcco PBKJ bicssc MAT007000 bisacsh 515/.35 22 O175 clc Christopher, Colin Limit cycles of differential equations Colin Christopher, Chengzhi Li Basel Boston Birkhäuser 2007 Basel Boston Basel Boston Birkhäuser 1 online resource (viii, 171 pages) illustrations 1 online resource (viii, 171 pages) Text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Advanced courses in mathematics, CRM Barcelona Includes bibliographical references Around 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 This 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 Limit cycles Differential equations Cycles limites Équations différentielles Differential equations Limit cycles Differential equations Limit cycles Electronic books Li, Chengzhi Springer e-books Springer e-books Print version Christopher, Colin. Limit cycles of differential equations. Basel ; Boston : Birkhäuser, 2007 9783764384098 3764384093 (DLC) 2007924803 (OCoLC)137248665 Advanced courses in mathematics, CRM Barcelona