Summary
the 2014 International Symposium on Nonlinear Theory and its Applications
2014
Session Number:D1L-A
Session:
Number:D1L-A2
Period-Doubling Bifurcation of Quasi-Periodic Solutions in Flow
Kyohei Kamiyama, Motomasa Komuro, Tetsuro Endo,
pp.644-647
Publication Date:2014/9/14
Online ISSN:2188-5079
Summary:
Depending on a Poincare section, a period-doubling bifurcation of a 2-torus attractor in flow is observed as different two types bifurcations of ICCs on a Poincare sections. We demonstrate this fact in the third-order Duffing equation with periodic external force system [1]. We clarify that this bifurcation by using Lyapunov exponents and Lyapunov bundles. The Lyapunov bundle is a set of generalized eigenvectors of a periodic solution to a each point of quasi-periodic solution.