Summary
International Symposium on Nonlinear Theory and its Applications
2017
Session Number:B2L-C
Session:
Number:B2L-C-2
Particle Swarm Optimization for Calculating Local Bifurcation Point in One-Dimensional Discrete Dynamical Systems
Yusho Tomimura, Hiroaki Kurokawa, Haruna Matsushita, Takuji Kousaka,
pp.498-501
Publication Date:2017/12/4
Online ISSN:2188-5079
Summary:
In this paper, we propose the local bifurcation point derivation method of one-dimensional discrete dynamical systems using particle swarm optimization (PSO). First, we describe the algorithm of PSO, which is one of the optimization methods. Next, we define the equation of the one-dimensional discrete dynamical system and show the local branch point derivation method in that system. After that, we apply the proposed method to the Circle map which is a one-dimensional discrete map. Finally, we consider the effectiveness of the proposed method using the application result.