Articles liés à Neural Networks With Discontinuous / Impact Activations

Neural Networks With Discontinuous / Impact Activations - Couverture rigide

Livre 6 sur 33: Nonlinear Systems and Complexity

Akhmet, Marat; Yilmaz, Enes

 
9781461485650: Neural Networks With Discontinuous / Impact Activations

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de l'auteur

1) Prof. Dr. Marat Akhmet is a member of the Department of Mathematics, Middle East Technical University, Turkey. He is a specialist in dynamical  models, bifurcation theory, chaos theory and differential equations. He has spent several years investigating the dynamics of neural networks, economic models and mechanical systems. He has published 4 books on different topics of dynamical systems. 2)  Dr. Ardak Kashkynbayev obtained his PhD from the Department of Mathematics, Middle East Technical University, Turkey. His research focuses on differential equations, bifurcation theory, chaos theory and applications to mechanical systems.

À propos de la quatrième de couverture

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.