Weakly Connected Neural Networks
Hoppensteadt, Frank C.; Izhikevich, E. M. (Arizona State University, Usa)
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Description for Weakly Connected Neural Networks
hardcover. Dealing with local and global analysis of weakly connected systems with applications to neurosciences, this book uses bifurcation theory and canonical models as the major tools of analysis. It is suitable for researchers and graduate students in various branches of mathematical neuroscience. Series: Applied Mathematical Sciences. Num Pages: 418 pages, 1 black & white tables, biography. BIC Classification: PDE; PSAN. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 243 x 183 x 31. Weight in Grams: 792.
This book is devoted to an analysis of general weakly connected neural networks (WCNNs) that can be written in the form (0.1) m Here, each Xi E IR is a vector that summarizes all physiological attributes of the ith neuron, n is the number of neurons, Ii describes the dynam ics of the ith neuron, and gi describes the interactions between neurons. The small parameter € indicates the strength of connections between the neurons. Weakly connected systems have attracted much attention since the sec ond half of seventeenth century, when Christian Huygens noticed that a pair of pendulum clocks synchronize ... Read more
This book is devoted to an analysis of general weakly connected neural networks (WCNNs) that can be written in the form (0.1) m Here, each Xi E IR is a vector that summarizes all physiological attributes of the ith neuron, n is the number of neurons, Ii describes the dynam ics of the ith neuron, and gi describes the interactions between neurons. The small parameter € indicates the strength of connections between the neurons. Weakly connected systems have attracted much attention since the sec ond half of seventeenth century, when Christian Huygens noticed that a pair of pendulum clocks synchronize ... Read more
Product Details
Format
Hardback
Publication date
1997
Publisher
Springer United States
Number of pages
418
Condition
New
Series
Applied Mathematical Sciences
Number of Pages
402
Place of Publication
New York, NY, United States
ISBN
9780387949482
SKU
V9780387949482
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Weakly Connected Neural Networks
From the reviews: "...After the introduction, written according to the authors in ordinary language, and well readable even for laymen, follows a nicely written Chapter 2 on bifurcations in neuron dynamics which must be read. Here also spiking and bursting phenomena are clearly described. Chapter 3 contains a short sketch of nonhyperbolic (when the Jacobian matrix ... Read more