The series is devoted to the publication of high-level monographs which cover the whole spectrum of current nonlinear analysis and applications in various fields, such as optimization, control theory, systems theory, mechanics, engineering, and other sciences. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of nonlinear analysis. Contributions which are on the borderline of nonlinear analysis and related fields and which stimulate further research at the crossroads of these areas are particularly welcome.
Editor-in-Chief
Dr. Vesselin Vatchev, USA
Honorary and Advisory Editors
Catherine Bandle, Basel, Switzerland
Jiguang Bao, Beijing, China
Avner Friedman, Columbus, Ohio, USA
Manuel del Pino, Bath, UK, and Santiago, Chile
Mikio Kato, Nagano, Japan
Guozhen Lu, Storrs, CT, USA
Wojciech Kryszewski, Lodz University of Technology, Poland
Vicentiu D. Radulescu, Kraków, Poland
Simeon Reich, Haifa, Israel
Please submit book proposals to Jürgen Appell.
Titles in planning include
Ireneo Peral Alonso and Fernando Soria, Elliptic and Parabolic Equations Involving the Hardy-Leray Potential (2020)
Cyril Tintarev, Profile Decompositions and Cocompactness: Functional-Analytic Theory of Concentration Compactness (2020)
Takashi Suzuki, Semilinear Elliptic Equations: Classical and Modern Theories (2021)
Klappentext
In the design of a neural network, either for biological modeling, cognitive simulation, numerical computation or engineering applications, it is important to investigate the network's computational performance which is usually described by the long-term behaviors, called dynamics, of the model equations. The purpose of this book is to give an introduction to the mathematical modeling and analysis of networks of neurons from the viewpoint of dynamical systems.
Inhalt
Preface · The structure of neural networks · Dynamic models of networks · Simple networks · Content-addressable memory storage · Signal transmission delays
Bibliography · Index