Shape, Smoothness, and Invariant Stratification of an Attracting Set for Delayed Monotone Positive Feedback by Tibor Krisztin, Jianhong Wu and Hans-Otto Walther (1998, Hardcover)

Key Details
Author:	Jianhong Wu, Hans-Otto Walther, Tibor Krisztin
Language:	English
Publisher:	Amer Mathematical Society
Series:	Fields Institute Monographs, 11
Format:	Hardcover
ISBN-10:	082181074X
ISBN-13:	9780821810743

Size
Length:	245 pages
Thickness:	0.8 in
Weight:	22.4 oz

Publisher's Note
Presents recent results about the global dynamics defined by a class of delay differential equations which model basic feedback mechanisms and arise in a variety of applications such as neural networks. The authors describe the geometric structure of a fundamental invariant set, which in special cases is the global attractor, and the asymptotic behavior of solution curves on it. The approach uses advanced tools for the investigation of infinite-dimensional dynamical systems, including a discrete Lyapunov functional counting zeros, Floquet theory for delay differential equations, and local invariant manifolds and inclination lemma for noninvertible maps. Annotation c. Book News, Inc., Portland, OR (booknews.com)