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.

Authors
Kanzitdinov S.K. 1 , Vasilyev S.A. 1
Journal
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Language
English
Pages
183-195
Status
Published
DOI
10.1007/978-3-319-71504-9_17
Volume
10684 LNCS
Year
2017
Organizations
  • 1 Department of Applied Probability and Informatics, RUDN University, Miklukho-Maklaya st. 6, Moscow, 117198, Russian Federation
Keywords
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
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/5732/
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