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Logistic equation of arbitrary order

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  • Grabowski, Franciszek

Abstract

The paper is concerned with the new logistic equation of arbitrary order which describes the performance of complex executive systems X vs. number of tasks N, operating at limited resources K, at non-extensive, heterogeneous self-organization processes characterized by parameter f. In contrast to the classical logistic equation which exclusively relates to the special case of sub-extensive homogeneous self-organization processes at f=1, the proposed model concerns both homogeneous and heterogeneous processes in sub-extensive and super-extensive areas. The parameter of arbitrary order f, where −∞

Suggested Citation

  • Grabowski, Franciszek, 2010. "Logistic equation of arbitrary order," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(16), pages 3081-3093.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:16:p:3081-3093
    DOI: 10.1016/j.physa.2010.03.024
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    References listed on IDEAS

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    1. de Freitas, Joaquim Elias & Santos Lucena, Liacir dos & Roux, Stéphane, 1999. "Percolation as a dynamical phenomenon," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 266(1), pages 81-85.
    2. M. E. J. Newman & D. J. Watts, 1999. "Scaling and Percolation in the Small-World Network Model," Working Papers 99-05-034, Santa Fe Institute.
    3. Scheinkman, Jose A & Woodford, Michael, 1994. "Self-Organized Criticality and Economic Fluctuations," American Economic Review, American Economic Association, vol. 84(2), pages 417-421, May.
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    1. Cabella, Brenno Caetano Troca & Ribeiro, Fabiano & Martinez, Alexandre Souto, 2012. "Effective carrying capacity and analytical solution of a particular case of the Richards-like two-species population dynamics model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(4), pages 1281-1286.

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