Complex systems investigation by delay discrete iterations in Takens phase space

Victor F. Dailyudenko

doi:10.1117/12.380607

30 March 2000 Complex systems investigation by delay discrete iterations in Takens phase space

Victor F. Dailyudenko

Proceedings Volume 4055, Applications and Science of Computational Intelligence III; (2000) https://doi.org/10.1117/12.380607
Event: AeroSense 2000, 2000, Orlando, FL, United States

Abstract

The analytical approach based on modeling Takens phase space temporal transformation for nonlinear delay discrete iterations is proposed. This model allows to obtain expressions for functional matrix of the vector map reconstructed phase trajectories from delay discrete iterations in multidimensional phase space. On a base of the suggested mode, analytical expressions for embedding parameters of investigated attractor have been calculated. Some computer experiments have been implemented modeling of the vector feedback in nonlinear processes under investigation.

Citation Download Citation

Victor F. Dailyudenko "Complex systems investigation by delay discrete iterations in Takens phase space", Proc. SPIE 4055, Applications and Science of Computational Intelligence III, (30 March 2000); https://doi.org/10.1117/12.380607

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