Self-organised dynamic recognition states for chaotic neural networks

Authors:
Nigel Crook;Tjeerd olde Scheper;Vasantha Pathirana
Affiliations:
Pattern Recognition Research Group, School of Computing and Mathematical Sciences, Oxford Brookes University, Wheatley Campus, Wheatley, Oxford OX33 1HX, UK;Pattern Recognition Research Group, School of Computing and Mathematical Sciences, Oxford Brookes University, Wheatley Campus, Wheatley, Oxford OX33 1HX, UK;Pattern Recognition Research Group, School of Computing and Mathematical Sciences, Oxford Brookes University, Wheatley Campus, Wheatley, Oxford OX33 1HX, UK
Venue:
Information Sciences—Informatics and Computer Science: An International Journal - Special issue on recent advances in soft computing
Year:
2003

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Abstract

Chaos offers several advantages to the Engineer over other non-chaotic dynamics. One is that chaotic systems are often significantly easier to control than other linear or non-linear systems, requiring only small, appropriately timed perturbations to constrain them within specific unstable periodic orbits (UPOs). Another is that chaotic attractors contain an infinite number of these UPOs. If individual UPOs can be made to represent specific internal states of a system, then a chaotic attractor can be turned into an infinite state machine. In this paper we investigate this possibility with respect to chaotic neural networks. We present a method by which a network can self-select UPOs in response to specific input values. These UPOs correspond to network recognition states for these input values.