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The Order Of A 2-Sequence And The Complexity Of Digital Images

Author

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  • TADAS TELKSNYS

    (Research Group for Mathematical and Numerical Analysis of Dynamical Systems, Kaunas University of Technology, Studentu 50-147, Kaunas LT-51368, Lithuania)

  • ZENONAS NAVICKAS

    (Research Group for Mathematical and Numerical Analysis of Dynamical Systems, Kaunas University of Technology, Studentu 50-147, Kaunas LT-51368, Lithuania)

  • MARTYNAS VAIDELYS

    (Research Group for Mathematical and Numerical Analysis of Dynamical Systems, Kaunas University of Technology, Studentu 50-147, Kaunas LT-51368, Lithuania)

  • MINVYDAS RAGULSKIS

    (Research Group for Mathematical and Numerical Analysis of Dynamical Systems, Kaunas University of Technology, Studentu 50-147, Kaunas LT-51368, Lithuania)

Abstract

The concept of the order of a 2-sequence is introduced in this paper. The order of a 2-sequence is a natural but not trivial extension of the order of one-dimensional (1D) linear recurrent sequences. Necessary and sufficient conditions for the generation of 2-sequences with finite order from the minimal information subset are derived. It is demonstrated that the order of 2-sequences can be used to estimate the complexity of self-organizing patterns with respect to each spatial coordinate.

Suggested Citation

  • Tadas Telksnys & Zenonas Navickas & Martynas Vaidelys & Minvydas Ragulskis, 2016. "The Order Of A 2-Sequence And The Complexity Of Digital Images," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 19(04n05), pages 1-25, June.
    • Handle: RePEc:wsi:acsxxx:v:19:y:2016:i:04n05:n:s0219525916500107
    DOI: 10.1142/S0219525916500107
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    References listed on IDEAS

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    1. Miśkiewicz, J. & Ausloos, M., 2004. "A logistic map approach to economic cycles. (I). The best adapted companies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(1), pages 206-214.
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