Nonlinear Systems and Complexity

Neural Networks with Discontinuous/Impact Activations

Authors: Akhmet, Marat, Yılmaz, Enes

  • 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
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  • ISBN 978-1-4614-8566-7
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  • ISBN 978-1-4614-8565-0
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About this book

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.

Table of contents (8 chapters)

  • Introduction

    Akhmet, Marat (et al.)

    Pages 1-18

  • Differential Equations with Piecewise Constant Argument of Generalized Type

    Akhmet, Marat (et al.)

    Pages 19-65

  • Impulsive Differential Equations

    Akhmet, Marat (et al.)

    Pages 67-83

  • Periodic Motions and Equilibria of Neural Networks with Piecewise Constant Argument

    Akhmet, Marat (et al.)

    Pages 85-91

  • Equilibria of Neural Networks with Impact Activations and Piecewise Constant Argument

    Akhmet, Marat (et al.)

    Pages 93-114

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-1-4614-8566-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-1-4614-8565-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • ISBN 978-1-4939-4598-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Neural Networks with Discontinuous/Impact Activations
Authors
Series Title
Nonlinear Systems and Complexity
Series Volume
9
Copyright
2014
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-8566-7
DOI
10.1007/978-1-4614-8566-7
Hardcover ISBN
978-1-4614-8565-0
Softcover ISBN
978-1-4939-4598-6
Series ISSN
2195-9994
Edition Number
1
Number of Pages
XI, 168
Number of Illustrations and Tables
5 b/w illustrations, 23 illustrations in colour
Topics