Abstract
We propose a method to use self organizing neural networks to extract information out of nonlinear dynamic systems for control. Nonlinear strange attractors are educed by these systems or the attractors can be reconstructed. These attractors are partitioned by a newly developed self organizing neural network. Thus the stream of system states is transformed into a stream of symbols, which can now serve as basis for further investigation or control. We are convinced, that controlling and understanding such nonlinear or chaotic systems is easier, when using the information within the stream of extracted symbols.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Bergé, P., Pomeau, Y., Vidal, C.: Order within Chaos, Towards a deterministic approach to turbulence. John Wiley & Sons, New York (1984)
Chen, G., Dong, X.: From Chaos to Order, Methodologies, Perspectives and Applications. World Scientific Series on Nonlinear Science, Series A, vol. 24. World Scientific Publ, Singapore (1998)
Fritzke, B.: Wachsende Zellstrukturen - ein selbstorganisierendes neuronales Netzwerkmodell, PhD Thesis, Erlangen (1992)
Kohonen, T.: Self organizing maps. Springer, Heidelberg (1995)
Martinez, T.M., Berkovich, S.G., Schulten, K.J.: Neural Gas Network for Vector Quantization and its Application to Time-Series Prediction. IEEE, Los Alamitos (1993)
Nicolis, G., Prigogine, I.: Die Erforschung des Komplexen, Pieper, München (1987)
Takens, F.: Detecting strange attractors in turbulence. In: Rand, D., Young, L.S. (eds.) EAMT-WS 1993. Lecture Notes in Mathematics, vol. 898, pp. 366–381. Springer, Berlin (1981)
Thomson, J., Stewart, H.: Nonlinear Dynamics and Chaos, Geometrical Methods for Engeneers and Scientists. John Wiley & Sons, Chinchester (1986)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Goerke, N., Kintzler, F., Eckmiller, R. (2005). Multi-SOMs: A New Approach to Self Organised Classification. In: Singh, S., Singh, M., Apte, C., Perner, P. (eds) Pattern Recognition and Data Mining. ICAPR 2005. Lecture Notes in Computer Science, vol 3686. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11551188_51
Download citation
DOI: https://doi.org/10.1007/11551188_51
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28757-5
Online ISBN: 978-3-540-28758-2
eBook Packages: Computer ScienceComputer Science (R0)