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22 August 2000 Statistical analysis of complex systems by means of fixed segment processing
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Abstract
The development of locally topological analysis resulting in reduction of required computer resources and experimental data has been proposed. Calculating local nonuniformity for obtained topological sequence provides a high reliability and accuracy of statistical parameters definition for the attractor under investigation and for complex system diagnostics. Segment variance exploration by partition into both fixed length regions and variable left boundary segments with adaptive transformations allows to increase accuracy of obtained results. The generalized model of adaptive transformations formalism has been represented. Numerical experiments with chaotic time series obtained from delay differential equation confirm the validity of developed methods.
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Victor F. Dailyudenko "Statistical analysis of complex systems by means of fixed segment processing", Proc. SPIE 4038, Detection and Remediation Technologies for Mines and Minelike Targets V, (22 August 2000); https://doi.org/10.1117/12.396214
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