Planar Dynamical Systems. Selected Classical Problems

• Tác giả: Wentao Huang, Jibin Li, Yirong Liu
• Ngôn ngữ: eng
• ISBN-13: 978-3110298369
• Ký hiệu phân loại: 003.83 Discrete-time systems
• Thông tin xuất bản: De Gruyter 2014
• Mô tả vật lý: 1 electronic resource (389 p.)
• Bộ sưu tập: Tài liệu truy cập mở
• ID: 269224
• Chủ đề: 1. Center and isochronous center; 2. Hilbert's 16th problem; 3. Limit cycle; 4. Multiple Hopf and global bifurcations; 5. Planar dynamical system

Tóm tắt

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