Neural Networks with Discontinuous/Impact Activations

  • Marat Akhmet
  • Enes Yılmaz

Part of the Nonlinear Systems and Complexity book series (NSCH, volume 9)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Marat Akhmet, Enes Yılmaz
    Pages 1-18
  3. Marat Akhmet, Enes Yılmaz
    Pages 67-83
  4. Marat Akhmet, Enes Yılmaz
    Pages 129-142
  5. Marat Akhmet, Enes Yılmaz
    Pages 143-155
  6. Back Matter
    Pages 157-168

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.

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.


Artificial Intelligence Chaotic Neural Networks Cohen-Grossberg Neural Networks Computational Neural Networks Impulsive Differential Equations Lyapnov-Razumikhim Method Neural Networks Piecewise Constant Argument Recurrent Neural Networks State-dependent Moments of Time

Authors and affiliations

  • Marat Akhmet
    • 1
  • Enes Yılmaz
    • 2
  1. 1.Department of MathematicsMiddle East Technical University (METU)AnkaraTurkey
  2. 2.Department of MathematicsAdnan Menderes UniversityAydinTurkey

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media New York 2014
  • Publisher Name Springer, New York, NY
  • eBook Packages Engineering Engineering (R0)
  • Print ISBN 978-1-4614-8565-0
  • Online ISBN 978-1-4614-8566-7
  • Series Print ISSN 2195-9994
  • Series Online ISSN 2196-0003
  • Buy this book on publisher's site
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