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Shape, Smoothness, and Invariant Stratification of an Attracting Set for Delayed Monotone Positive Feedback (Fields Institute Monographs, 11) - Hardcover

Krisztin, Tibor; Walther, Hans-Otto; Wu, Jianhong

 
9780821810743: Shape, Smoothness, and Invariant Stratification of an Attracting Set for Delayed Monotone Positive Feedback (Fields Institute Monographs, 11)

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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)

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