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Singular Point Values, Center Problem and Bifurcations of Limit Cycles of Two Dimensional Differential Autonomous Systems

Author(s): Liu Yirong and Li Jibin

Publisher: Science Press
Published Date: 2008
ISBN: 978-7-03-020043-3
Pages: 228
Language: English
Type: Book
Cover: Hard Cover

Our Price: $45.10

Avail: In-Stock

Description

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.

Main Contents

Chapter 1 Focal Values, Saddle Values and Singular Point Values
Chapter 2 Theory of Center-focus for a Class of Infinite Singular Points and Higher-order Singular Points
Chapter 3 Multiple Hopf Bifurcations
Chapter 4 Bifurcation of Limit Cycles Created from Infinity of Some Polynomial Vector Fields
Chapter 5 Local and Non-local Bifurcations of Perturbed Zq-equivalent Hamiltonian Vector Fields
Chapter 6 Isochronous Center
Chapter 7 On Quasi Analytic Systems
Chapter 8 Complete Study on a Bi-center Problem for the Z2-equivariant Cubic Vector Fields