Limit Cycles of Differential Equations
Author:   Colin Christopher ,  Chengzhi Li
Publisher:   Birkhauser Verlag AG
Edition:   2007 ed.
ISBN:  

9783764384098


Pages:   171
Publication Date:   16 May 2007
Replaced By:   9783030596552
Format:   Paperback
Availability:   Out of stock   Availability explained


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Limit Cycles of Differential Equations


Overview

This textbook contains the lecture series originally delivered at the ""Advanced Course on Limit Cycles of Differential Equations"" in the Centre de Rechercha Mathematica Barcelona in 2006. It covers the center-focus problem for polynomial vector fields and the application of abelian integrals to limit cycle bifurcations. Both topics are related to the authors' interests in Hilbert's sixteenth problem, but would also be of interest to those working more generally in the qualitative theory of dynamical systems.

Full Product Details

Author:   Colin Christopher ,  Chengzhi Li
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2007 ed.
Dimensions:   Width: 17.00cm , Height: 1.30cm , Length: 24.40cm
Weight:   0.454kg
ISBN:  

9783764384098


ISBN 10:   3764384093
Pages:   171
Publication Date:   16 May 2007
Audience:   College/higher education ,  Undergraduate ,  Postgraduate, Research & Scholarly
Replaced By:   9783030596552
Format:   Paperback
Publisher's Status:   Out of Print
Availability:   Out of stock   Availability explained

Table of 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.

Reviews

The book is well written and informative, including some recent references. It would be very useful as an introduction to the subject. (Iliya Iliev, zbMATH 1359.34001, 2017)


“The book is well written and informative, including some recent references. It would be very useful as an introduction to the subject.” (Iliya Iliev, zbMATH 1359.34001, 2017)


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