Limit Cycles of Differential Equations

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 abel...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Christopher, Colin (Συγγραφέας), Li, Chengzhi (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Basel : Birkhäuser Basel, 2007.
Σειρά:Advanced Courses in Mathematics CRM Barcelona
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Christopher, Colin.  |e author. 
245 1 0 |a Limit Cycles of Differential Equations  |h [electronic resource] /  |c by Colin Christopher, Chengzhi Li. 
264 1 |a Basel :  |b Birkhäuser Basel,  |c 2007. 
300 |a VIII, 171 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Advanced Courses in Mathematics CRM Barcelona 
505 0 |a 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. 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Dynamics. 
650 0 |a Ergodic theory. 
650 0 |a Differential equations. 
650 1 4 |a Mathematics. 
650 2 4 |a Ordinary Differential Equations. 
650 2 4 |a Dynamical Systems and Ergodic Theory. 
700 1 |a Li, Chengzhi.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783764384098 
830 0 |a Advanced Courses in Mathematics CRM Barcelona 
856 4 0 |u http://dx.doi.org/10.1007/978-3-7643-8410-4  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)