On Mathematical Models of Artificial Neural Networks

22nd International Scientific Conference "Engineering for Rural Development": Proceedings. Vol.22 2023
Inna Samuilika, Felix Sadyrbaev, Svetlana Atslega

Artificial Neural Networks are in focus. The four-dimensional and the five-dimensional systems are considered. The activation function – hyperbolic tangent is used to model the Artificial Neural Networks. By changing one of the parameters in the system, different types of solutions are obtained: periodic solutions and chaotic solutions. The graphs of all solutions, the dynamics of Lyapunov exponents and 2D and 3D projections of attractors are provided using Wolfram Mathematica.

Keywords
Artificial Neural Networks, periodic solutions, chaotic solutions, Lyapunov exponents.
Hyperlink
https://www.tf.lbtu.lv/conference/proceedings2023/Papers/TF007.pdf

Samuilika, I., Sadyrbaev, F., Atslega, S. On Mathematical Models of Artificial Neural Networks. In: 22nd International Scientific Conference "Engineering for Rural Development": Proceedings. Vol.22, Latvia, Jelgava, 24-26 May, 2023. Jelgava: Latvia University of Life Sciences and Technologies, 2023, pp.45-50. ISSN 1691-5976.

Publication language
English (en)