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Neural Networks with Discontinuous/Impact Activations

Marat Akhmet, Enes Yılmaz

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Springer New York img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Allgemeines, Lexika

Beschreibung

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.

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Schlagwörter

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