Summary
2011 International Symposium on Nonlinear Theory and Its Applications
2011
Session Number:B2L-C
Session:
Number:B2L-C2
Origin of the quasi-periodic solutions with three-phase synchronized envelope in a ring of three-coupled bistable oscillators
Kyohei Kamiyama, Motomasa Komuro, Tetsuro Endo,
pp.411-414
Publication Date:2011/9/4
Online ISSN:2188-5079
Summary:
In this paper, we try to find the origin of quasi-periodic propagating wave solutions with three-phase synchronized envelope in a ring of three-coupled bistable oscillators. We obtain two-parameter bifurcation diagram in relation to coupling factor versus nonlinear strength starting from the quasi-periodic solution, and we find several Arnold tongues showing the synchroized regions with various periods. By investigating the bifurcation on the boundary of these Arnold tongues, we clarify the appearance and disappearance mechanisms of the quasi-periodic solution.