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Exact analytic solution to nonlinear dynamic system of equations for information propagation in complex networks

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  • Dong, Suyalatu
  • Deng, Yanbin
  • Huang, Yong-Chang

Abstract

We present the exact analytic solution to the nonlinear dynamic system describing the information propagation process in complex networks. The method is to switch to the dynamic system of equations for the new variables defined according to the nonlinear terms appearing in the original dynamic system, and then, after combining relevant consistent condition of solution to reduce the dynamic system of equations for the newly defined variables to the knownly solvable nonlinear Bernoulli differential equation. Numerical comparisons between the purely numerical solution and the exact analytic solution confirm the crosscheck and mutual proof for both of the solutions. The presented exact analytic solution, which does not restrict the coefficients in the original dynamic system to merely constants, is thus suitable for the study of information propagation in networks with evolving structure and changing properties.

Suggested Citation

  • Dong, Suyalatu & Deng, Yanbin & Huang, Yong-Chang, 2019. "Exact analytic solution to nonlinear dynamic system of equations for information propagation in complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 319-329.
    • Handle: RePEc:eee:phsmap:v:521:y:2019:i:c:p:319-329
    DOI: 10.1016/j.physa.2019.01.083
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    References listed on IDEAS

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