Neural Networks with Discontinuous/Impact Activations

Marat Akhmet, Enes Yılmaz (Autoren)

Buch | Softcover

168 Seiten

2016 | Softcover reprint of the original 1st ed. 2014
Springer-Verlag New York Inc.
978-1-4939-4598-6 (ISBN)

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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.

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.

Erscheinungsdatum	15.10.2016
Reihe/Serie	Nonlinear Systems and Complexity ; 9
Zusatzinfo	23 Illustrations, color; 5 Illustrations, black and white; XI, 168 p. 28 illus., 23 illus. in color.
Verlagsort	New York
Sprache	englisch
Maße	155 x 235 mm
Themenwelt	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Medizin / Pharmazie
	Technik
ISBN-10	1-4939-4598-X / 149394598X
ISBN-13	978-1-4939-4598-6 / 9781493945986
Zustand	Neuware