In 2008, November 23-28, the workshop of ”Classical Problems on Planar Polynomial Vector Fields ” was held in the Banff International Research Station, Canada. Called "classical problems", it was concerned with the following:

(1) Problems on integrability of planar polynomial vector fields.

(2) The problem of the center stated by Poincar� for real polynomial differential systems, which asks us to recognize when a planar vector field defined by polynomials of degree at most n possesses a singularity which is a center.

(3) Global geometry of specific classes of planar polynomial vector fields.

(4) Hilbert’s 16th problem.

These problems had been posed more than 110 years ago. Therefore, they are called "classical problems" in the studies of the theory of dynamical systems. The qualitative theory and stability theory of differential equations, created by Poincar� and Lyapunov at the end of the 19th century, had major developments as two branches of the theory of dynamical systems during the 20th century. As a part of the basic theory of nonlinear science, it is one of the very active areas in the new millennium.

This book presents in an elementary way the recent significant developments in the qualitative theory of planar dynamical systems. The subjects are covered as follows: the studies of center and isochronous center problems, multiple Hopf bifurcations and local and global bifurcations of the equivariant planar vector fields which concern with Hilbert’s 16th problem.

The book is intended for graduate students, post-doctors and researchers in dynamical systems. For all engineers who are interested in the theory of dynamical systems, it is also a reasonable reference. It requires a minimum background of a one-year course on nonlinear differential equations.

About the Author

Yirong Liu, Jibin Li and Wentao Huang, Zhejiang Normal University, Jinhua, Zhejiang, P. R. China.

"About this title" may belong to another edition of this title.

Store Description

We carry a comprehensive range of out of print and rare books.

Visit Seller's Storefront

Seller's business information

Kennys Bookshops and Art Galleries Limited
Liosban Industrial Estate, Tuam Road, Galway, Ireland

Sale & Shipping Terms

Terms of Sale

We guarantee the condition of every book as it's described on the Abebooks websites.

If you're dissatisfied with your purchase (Incorrect Book/Not as Described/Damaged) or if the order hasn't arrived, you're eligible for a refund within 30 days of the estimated delivery date.

For any queries please use the contact seller link or send an email to books@kennys.ie

Conor Kenny

Shipping Terms

All books securely packaged. Some books ship from Ireland.

Shipping rates within U.S.A.

Shipping rates within U.S.A.
Order quantity	14 to 20 business days	13 to 14 business days
First item	US$ 10.50	US$ 21.00

Delivery times are set by sellers and vary by carrier and location. Orders passing through Customs may face delays and buyers are responsible for any associated duties or fees. Sellers may contact you regarding additional charges to cover any increased costs to ship your items.