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A Synthesis Of Invariant Structures With Memory In Two-Dimensional Space

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  • ALEXANDER YUDASHKIN

    (Dept. of Automation and Information Technologies, Samara State Technical University, Galaktionovskaya 141, Samara, 443010, Russia)

Abstract

A problem of self-organized structure storage and retrieving is considered. The novel model of nonlinear dynamical system for multi-unit structures memorizing is proposed and its properties are investigated in this paper. The multi-unit system consists ofNpoints in the two-dimensional Euclidean space, and its dynamics is defined by a potential function, that is translation and rotation invariant relatively points coordinates. The nonlinear potential function allows to compose attractors corresponding to the proper configurations of points, while these configurations are memorized by the system. Any initial form flows to one of the attractors independently from possible rotations and spatial shifts. The system can memorize and successfully restore up toN-2required configurations. The characteristics of structure retrieving in the presence of beginning form distortion are considered, and the stability of method is shown even in the case of high level noise. The proposed approach could be helpful to design physical, technical and informational objects with the desired self-assembling properties.

Suggested Citation

  • Alexander Yudashkin, 2000. "A Synthesis Of Invariant Structures With Memory In Two-Dimensional Space," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 11(05), pages 853-864.
    • Handle: RePEc:wsi:ijmpcx:v:11:y:2000:i:05:n:s0129183100000766
    DOI: 10.1142/S0129183100000766
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