Infinite order systems of differential equations and large scale random neural networks

In this paper we consider dynamics of complex systems using random neural networks with an infinite number of cells. The Cauchy problem for singular perturbed infinite order systems of stochastic differential equations which describes the random neural network with infinite number of cells is studied. © 2017, Springer International Publishing AG.

Авторы
Язык
Английский
Страницы
183-195
Статус
Опубликовано
Том
10684 LNCS
Год
2017
Организации
  • 1 Department of Applied Probability and Informatics, RUDN University, Miklukho-Maklaya st. 6, Moscow, 117198, Russian Federation
Ключевые слова
Analytical methods in probability theory; Dynamics of complex systems; Neural network; Singular perturbated systems of differential equations; Small parameter; Systems of differential equations of infinite order
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