Neural Networks with Discontinuous/Impact Activations: 9 (Nonlinear Systems and Complexity, 9) - Hardcover

Akhmet, Marat; Yılmaz, Enes

Hardcover

ISBN 10: 1461485657 ISBN 13: 9781461485650

Publisher: Springer, 2013

Synopsis

This book presents as its main subject new models in mathematical neuroscience. A wide range of neural networks models with discontinuities are discussed, including impulsive differential equations, differential equations with piecewise constant arguments, and models of mixed type. These models involve discontinuities, which are natural because huge velocities and short distances are usually observed in devices modeling the networks. A discussion of the models, appropriate for the proposed applications, is also provided.

About this title

From the Back Cover

This book presents as its main subject new models in mathematical neuroscience. A wide range of neural networks models with discontinuities are discussed, including impulsive differential equations, differential equations with piecewise constant arguments, and models of mixed type. These models involve discontinuities, which are natural because huge velocities and short distances are usually observed in devices modeling the networks. A discussion of the models, appropriate for the proposed applications, is also provided.

This book also:

Explores questions related to the biological underpinning for models of neural networks\

Considers neural networks modeling using differential equations with impulsive and piecewise constant argument discontinuities

Provides all necessary mathematical basics for application to the theory of neural networks

Neural Networks with Discontinuous/Impact Activations is an ideal book for researchers and professionals in the field of engineering mathematics that have an interest in applying these systems to computational problems.

Edition details

• Publisher: Springer
• Publication date: 2013
• Language: English
• ISBN 10: 1461485657
• ISBN 13: 9781461485650
• Binding: Hardcover
• Number of pages: 179