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

被引：14

作者：

Li, Shuai ^{[1
]}

Wang, Yunpeng ^{[2
]}

Yu, Jiguo ^{[3
]}

Liu, Bo ^{[4
]}

机构：

[1] Stevens Inst Technol, Dept Elect & Comp Engn, Hoboken, NJ 07030 USA

[2] Univ Miami, Dept Elect & Comp Engn, Coral Gables, FL 33124 USA

[3] Qufu Normal Univ, Sch Comp Sci, Rizhao 276826, Shandong, Peoples R China

[4] Univ Massachusetts, Dept Comp Sci, Amherst, MA 01003 USA

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2013年 / 18卷 / 03期

关键词：

winner-take-all; Positive feedback; Negative feedback; Nonlinear; Competition; COMPUTATION;

D O I：

10.1016/j.cnsns.2012.07.021

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：435 / 442

页数：8

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