Abstract
In the paper a new three-dimensional visualization technique of results of methods of prediction of chaotic time series has been analyzed. The influence of graphical presentation of attractors on the quality of forecasting results has been tested. The following methods of prediction of behaviours of chaotic dynamical systems have been considered: method of analogs, centre-of-mass-prediction method and local linear prediction method. The forecasting quality has been evaluated with using the error function and the correlation coefficient. It has been shown that 3D visualization of attractor is a necessary condition for obtaining the proper result of forecasting with using the deterministic chaos methods.
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Pankiewicz, M., Mosdorf, R. (2005). The prediction of behaviours of chaotic dynamical systems in 3D state space. In: Saeed, K., Pejaś, J. (eds) Information Processing and Security Systems. Springer, Boston, MA. https://doi.org/10.1007/0-387-26325-X_34
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DOI: https://doi.org/10.1007/0-387-26325-X_34
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-387-25091-5
Online ISBN: 978-0-387-26325-0
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