Summary
International Symposium on Nonlinear Theory and its Applications
2005
Session Number:4-2-2
Session:
Number:4-2-2-2
Decomposition of Bifurcation Diagram for Periodic Oscillation using Ideal Quotient
Masakazu Yagi, Takashi Hisakado, Kohshi Okumura,
pp.34-37
Publication Date:2005/10/18
Online ISSN:2188-5079
Summary:
This paper presents a method to decompose the bifurcation diagram for periodic oscillation in global parameter space. As a tool of the decomposition, we use ideal decomposition corresponding to algebraic factorization. In order to realize the ideal decomposition, we propose the ideal quotient based on the symmetry of systems and other efficient methods using the ideal quotient partially. Further, we clarify the symmetries of the homogeneous equation in the harmonic balance method and provide a method for systematic decomposition.