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Shape, Smoothness and Invariant Stratification of an Attracting Set for Delayed Monotone Positive Feedback
Krisztin, Tibor; Walther, Hans-Otto; Wu, Jianhong
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Description for Shape, Smoothness and Invariant Stratification of an Attracting Set for Delayed Monotone Positive Feedback
Hardback. Contains 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. This book describes the geometric structure of a fundamental invariant set, which in special cases is the global attractor. Series: Fields Institute Monographs. Num Pages: 245 pages, Illustrations. BIC Classification: PBKJ; PBW; UYQN. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 230. Weight in Grams: 652.
This book contains 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 in detail 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 makes use of advanced tools which in recent years have been developed for the investigation of infinite-dimensional dynamical systems: local invariant manifolds and inclination lemmas for noninvertible maps, Floquet theory for delay differential equations, a ... Read more
This book contains 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 in detail 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 makes use of advanced tools which in recent years have been developed for the investigation of infinite-dimensional dynamical systems: local invariant manifolds and inclination lemmas for noninvertible maps, Floquet theory for delay differential equations, a ... Read more
Product Details
Format
Hardback
Publication date
1998
Publisher
American Mathematical Society United States
Number of pages
245
Condition
New
Series
Fields Institute Monographs
Number of Pages
245
Place of Publication
Providence, United States
ISBN
9780821810743
SKU
V9780821810743
Shipping Time
Usually ships in 7 to 11 working days
Ref
99-1
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