Chaos processor for calculating a correlation dimension

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364DIG2, 3649439, 36494491, 36472803, G06F 15336

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active

055069967

ABSTRACT:
A chaos processor which is able to gain a dynamic of a dynamics system and to determine whether the dynamic is gained by a random noise or by the meaningful information. The chaos system having a strange attractor comprising a state value selecting unit for selecting the state value inputted according to an embedding dimension value and a delay time value; a distance calculating unit for calculating the distance between two state values selected by the state value selecting unit; an correlation sum calculating unit for calculating the correlation sum, in which the correlation sum calculating unit compares the calculated distance with a pre-stored distance index, increases the distance index when the distance index and a distance condition is satisfied, and calculates a sum of states in a circle having a radius corresponding to the increased distance index; an inflection point selecting unit for selecting points of inflection of a linearly increased parts from the calculated correlation sum; a correlation dimension calculating unit for calculating the correlation dimension by calculating a slope of a line which is made by connecting the inflection points selected.

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Richard L. Peskin et al., "Chaotic behavior of finite inertia particles in ABC flow", Physics of Fluids A, vol. 3, No. 5, Pt. 1, May 1991, USA.
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H. Atmanspacher et al., "Global Scaling properties of a chaotic attractor reconstructed from experimental data", Physical Review A, vol. 37, No. 4, Feb. 15, 1988, USA.
Milan Palus et al., "Singular-value decomposition in attractor reconstruction: pitfalls and precautions", Physica D, vol. 55, No. 1-2, Feb. 1992, Netherlands.

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