Influence of Mapping on the Identification of Chaotic Phenomenon by 2-D Attractors

概要

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Recently, the identification of chaotic phenomenon is required in research of dynamic system such as biological behavior in human body. Extracting the most similar chaotic pattern to the standard in the chaotic like signal, for example, detected from human body, can identify the condition of biological behavior. The processing of 2-dimensional line figure can be applied to the chaotic pattern matching, by dealing with the 2-dimensional chaotic attractor. By corresponding the x and y-coordinate of figure to the real and imaginary part of complex number, respectively, the line figure can be regarded as the complex valued function with real variable. The line figure is analyzed by the cross correlation function of the two functions which show the each line figure. In this paper, the analysis of 2-dimensional line figure and the method of applying to the analysis of 2-dimensional attractor are described. Some 2-dimensional attractors are generated by various mappings from a chaotic phenomenon. The influence of mapping is reported by calculating the similarities of 2-dimensional attractors in experiment.
バイオメディカル・ファジィ・システム学会の論文