Competition aided with continuous-time nonlinear model

Shuai Li, Long Jin

Research output: Chapter in book / Conference proceedingChapter in an edited book (as author)Academic researchpeer-review


In this chapter, different from the model presented in Chap. 1, we present 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
Title of host publicationSpringerBriefs in Applied Sciences and Technology
Number of pages11
Publication statusPublished - 1 Jan 2018

Publication series

NameSpringerBriefs in Applied Sciences and Technology
ISSN (Print)2191-530X
ISSN (Electronic)2191-5318


  • Continuous-time system
  • Global stability
  • Recurrent neural networks
  • Selective positive-negative feedback
  • Winner-take-all competition

ASJC Scopus subject areas

  • Biotechnology
  • Chemical Engineering(all)
  • Mathematics(all)
  • Materials Science(all)
  • Energy Engineering and Power Technology
  • Engineering(all)


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