A nonlinear model to generate the winner-take-all competition

Shuai Li, Yunpeng Wang, Jiguo Yu, Bo Liu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

18 Citations (Scopus)


This paper is concerned with the phenomenon of winner-take-all competition. In this paper, we propose a continuous-time dynamic model, which is described by an ordinary differential equation and is able to produce the winner-take-all competition by taking advantage of selective positive-negative feedback. The global convergence is proven analytically and the convergence rate is also discussed. Simulations are conducted in the static competition and the dynamic competition scenarios. Both theoretical and numerical results validate the effectiveness of the dynamic equation in describing the nonlinear phenomena of winner-take-all competition.
Original languageEnglish
Pages (from-to)435-442
Number of pages8
JournalCommunications in Nonlinear Science and Numerical Simulation
Issue number3
Publication statusPublished - 1 Mar 2013
Externally publishedYes


  • Competition
  • Negative feedback
  • Nonlinear
  • Positive feedback
  • Winner-take-all

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation
  • Applied Mathematics


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