Title
Chaotic Associative Recalls for Fixed Point Attractor Patterns
Date Issued
24 September 2003
Access level
metadata only access
Resource Type
conference paper
Author(s)
Universidad de São Paulo
Publisher(s)
International Joint Conference on Neural Networks (IJCNN)
Abstract
Human perception is a complex nonlinear dynamics. On the one hand it is periodic dynamics and on the other hand it is chaotic. Thus, we wish to propose a hybrid - the spatial chaotic dynamics for the associative recall to retrieve patterns, similar to Walter Freeman's discovery, and the fixed point dynamics for memory storage, similar to Hopfield and Grossberg's discoveries. In this model, each neuron in the network could be a chaotic map, whose phase space is divided into two states: one is periodic dynamic state with period-V, which is used to represent a V-value retrieved pattern; another is chaotic dynamic state. Firstly, patterns are stored in the memory by fixed point learning algorithm. In the retrieving process, all neurons are initially set in the chaotic region. Due to the ergodicity property of chaos, each neuron will approximate the periodic points covered by the chaotic attractor at same instants. When this occurs, the control is activated to drive the dynamic of each neuron to their corresponding stable periodic point. Computer simulations confirm the theoretical prediction.
Start page
841
End page
845
Volume
2
Language
English
OCDE Knowledge area
Neurología clínica
Scopus EID
2-s2.0-0141460686
Source
Proceedings of the International Joint Conference on Neural Networks
Resource of which it is part
Proceedings of the International Joint Conference on Neural Networks
ISSN of the container
1098-7576
ISBN of the container
0-7803-7898-9
Conference
International Joint Conference on Neural Networks 2003 20 July 2003 through 24 July 2003
Sources of information:
Directorio de Producción Científica
Scopus