Chaos and hyperchaos in a Hopfield neural network |
| |
Authors: | Paulo C. RechAuthor Vitae |
| |
Affiliation: | Departamento de Física, Universidade do Estado de Santa Catarina, 89223-100 Joinville, Brazil |
| |
Abstract: | In this paper we investigate numerically the parameter-space of an autonomous system of four nonlinear first-order ordinary differential equations, which represents a Hopfield neural network with four neurons. The study considers three independent two-dimensional cross-sections of the three-dimensional parameter-space generated by this mathematical model, every constructed considering Lyapunov exponent values. We show that is possible to completely characterize the dynamics of the system based in these three plots, which are representative of the three-dimensional parameter-space as a whole. |
| |
Keywords: | Hopfield neural networks Parameter-space Phase-space Lyapunov exponents |
本文献已被 ScienceDirect 等数据库收录! |