文章基本信息

标题：An Efficient Method to Obtain Bifurcation Diagrams based on PSO Algorithms
本地全文：下载
作者：Bryan E. Martinez ; Monserrat A. Castro-Coria ; Jaime Cerda 等
期刊名称：Lecture Notes in Engineering and Computer Science
印刷版ISSN：2078-0958
电子版ISSN：2078-0966
出版年度：2018
卷号：2237&2238
页码：73-78
出版社：Newswood and International Association of Engineers
摘要：A bifurcation diagram is used to analyze the dynamics of a system based on its parameters, and when these are allowed to change. They provide information about how the roots of a dynamic system change as those parameters change. During this analysis you get information that helps maintain the stability of a system. It seems to be an easy task, which is not because throughout the process of changing parameters, some roots enter the real domain that seems as if they appear and others enter the complex domain w hich could be taken as if they were disappearing 。This paper proposes a methodology to address the generation of bifurcation diagrams. An alternative to this approach is to use multimodal evolutionary optimization algorithms, many of which are based on NichePSO. This paper presents a niche algorithm based on PSO called NichePSO stochastic but works mainly by following the individual trajectories of the solutions. The results allow us to affirm, at least for univariate problems, that it is more efficient than those that only use NichePSO.