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Highly Nonlinear Complexity Of Interaction Dynamics In Scale-Free Networks

Author

Listed:
  • SHAOTING TANG

    (LMIB, SKLSDE and School of Mathematics and Systems Science, Beihang University, Beijing 100191, China)

  • XIN JIANG

    (LMIB, SKLSDE and School of Mathematics and Systems Science, Beihang University, Beijing 100191, China)

  • SEN PEI

    (LMIB, SKLSDE and School of Mathematics and Systems Science, Beihang University, Beijing 100191, China)

  • ZHICONG LIU

    (LMIB, SKLSDE and School of Mathematics and Systems Science, Beihang University, Beijing 100191, China)

  • LILI MA

    (LMIB, SKLSDE and School of Mathematics and Systems Science, Beihang University, Beijing 100191, China)

  • ZHANLI ZHANG

    (LMIB, SKLSDE and School of Mathematical Sciences, Peking University, Beijing 100871, China)

  • ZHIMING ZHENG

    (LMIB, SKLSDE and School of Mathematics and Systems Science, Beihang University, Beijing 100191, China)

Abstract

Interaction dynamics induced by finite-capacity effect is a typical diffusion model on networks. Although several significant properties of it like condensation have been well studied, the origin of its highly nonlinear complexity, influenced by complex structure and interactive behavior, is still missing. Aimed at filling this gap, we propose entropy to quantify the complexity and exhibit its strong dependence on two coupled crucial elements of nodes, the local topology and the finite capacity. Further, the performance of interaction dynamics, efficiency function is also analyzed in terms of entropy rate and relatively promoted through routing strategy arguments supported by maximum entropy theory studies. This will play a crucial role for inference problems emerging in the field of interaction dynamics on complex networks.

Suggested Citation

  • Shaoting Tang & Xin Jiang & Sen Pei & Zhicong Liu & Lili Ma & Zhanli Zhang & Zhiming Zheng, 2011. "Highly Nonlinear Complexity Of Interaction Dynamics In Scale-Free Networks," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 22(09), pages 883-895.
    • Handle: RePEc:wsi:ijmpcx:v:22:y:2011:i:09:n:s0129183111016439
    DOI: 10.1142/S0129183111016439
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    References listed on IDEAS

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    1. Metzger, T. & Irawan, A. & Tsotsas, E., 2006. "Remarks on the paper “Extension of Hoshen–Kopelman algorithm to non-lattice environments” by A. Al-Futaisi and T.W. Patzek, Physica A 321 (2003) 665–678," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(2), pages 558-560.
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