TY  - BOOK
AU  - Akhmet,Marat
AU  - Yılmaz,Enes
ED  - SpringerLink (Online service)
TI  - Neural Networks with Discontinuous/Impact Activations
T2  - Nonlinear Systems and Complexity,
SN  - 9781461485667
AV  - QA76.9.M35 
U1  - 620 23
PY  - 2014///
CY  - New York, NY
PB  - Springer New York, Imprint: Springer
KW  - Engineering
KW  - Artificial intelligence
KW  - Differential equations
KW  - Neural networks (Computer science)
KW  - Complexity, Computational
KW  - Biomedical engineering
KW  - Complexity
KW  - Artificial Intelligence (incl. Robotics)
KW  - Biomedical Engineering
KW  - Ordinary Differential Equations
KW  - Mathematical Models of Cognitive Processes and Neural Networks
KW  - Electronic books
KW  - local
N1  - Introduction -- Differential Equations with Piecewise Constant Argument of Generalized Type -- Impulsive Differential Equations -- Periodic Motions and Equilibria of Neural Networks with Piecewise Constant Argument -- Equilibria of Neural Networks with Impact Activation and Piecewise Constant Argument -- Periodic Motions of Neural Networks with Impact Activation and Piecewise Constant Argument -- The Method of Lyapunov Functions: RNNs -- The Lyapunov-Razumikhin Method: CNNs
N2  - 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
UR  - http://ezproxy.alfaisal.edu/login?url=http://dx.doi.org/10.1007/978-1-4614-8566-7
ER  -