Limit Cycles of Differential Equations
1st Edition
Published on 16. May 2007
Book
Paperback/Softback
VIII, 171 pages
978-3-7643-8409-8 (ISBN)
Description
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.
Reviews / Votes
"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)More details
Series
Edition
2007
Language
English
Place of publication
Basel
Switzerland
Publishing group
Springer Basel
Target group
College/higher education
Research
Illustrations
VIII, 171 p.
Dimensions
Height: 24.4 cm
Width: 17 cm
Weight
454 gr
ISBN-13
978-3-7643-8409-8 (9783764384098)
DOI
10.1007/978-3-7643-8410-4
Schweitzer Classification
Other editions
New editions
Colin Christopher | Chengzhi Li | Joan Torregrosa
Limit Cycles of Differential Equations
Book
01/2024
2nd Edition
Birkhäuser
€29.95
Shipment within 7-9 days
Additional editions
Colin Christopher | Chengzhi Li
Limit Cycles of Differential Equations
E-Book
08/2007
1st Edition
Birkhäuser
€28.88
Available for download
Content
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.