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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...

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Bibliographic Details
Main Authors: Christopher, Colin, Li, Chengzhi (Author)
Format: eBook
Language:English
Published: Basel Birkhäuser 2007, 2007
Edition:1st ed. 2007
Series:Advanced Courses in Mathematics - CRM Barcelona
Subjects:
Dynamical Systems
Differential Equations
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Limit Cycles of Differential Equations  |h Elektronische Ressource  |c by Colin Christopher, Chengzhi Li 
250 |a 1st ed. 2007 
260 |a Basel  |b Birkhäuser  |c 2007, 2007 
300 |a VIII, 171 p  |b online resource 
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 
653 |a Dynamical Systems 
653 |a Differential Equations 
653 |a Differential equations 
653 |a Dynamical systems 
700 1 |a Li, Chengzhi  |e [author] 
041 0 7 |a eng  |2 ISO 639-2 
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490 0 |a Advanced Courses in Mathematics - CRM Barcelona 
028 5 0 |a 10.1007/978-3-7643-8410-4 
856 4 0 |u https://doi.org/10.1007/978-3-7643-8410-4?nosfx=y  |x Verlag  |3 Volltext 
082 0 |a 515.35 
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 

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