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Book Cover
E-book
Author Christopher, Colin

Title Limit cycles of differential equations / Colin Christopher, Chengzhi Li
Published Basel ; Boston : Birkhäuser, ©2007

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Description 1 online resource (viii, 171 pages) : illustrations
Series Advanced courses in mathematics, CRM Barcelona
Advanced courses in mathematics, CRM Barcelona.
Contents 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
Summary 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
Bibliography Includes bibliographical references
Notes Print version record
In Springer e-books
Subject Limit cycles.
Differential equations.
Differential equations.
Limit cycles.
Differential equations
Limit cycles
Form Electronic book
Author Li, Chengzhi
LC no. 2007924803
ISBN 9783764384104
3764384107
9780817684099
0817684093