Summary
International Symposium on Nonlinear Theory and Its Applications
2016
Session Number:A3L-D
Session:
Number:A3L-D-3
Chaos Near the Chenciner Bubbles from a Piecewise-Constant System
Tri Quoc Truong, Tadashi Tsubone, Naohiko Inaba, Tetsuro Endo,
pp.-
Publication Date:2016/11/27
Online ISSN:2188-5079
Summary:
We consider chaos and bifurcation phenomena near the Chenciner bubbles generated by two coupled piecewise-constant oscillators (PWCOs) driven by a rectangular wave force. Because vector fields of PWCOs are piecewise-constants, it is relatively easy to perform rigorous analysis. For instance, a calculation algorithm for conducting Lyapunov exponent in autonomous piecewise-constant system has been proposed. By using extension of the algorithm for non-autonomous system, two-parameter Lyapunov diagrams are conducted. These results confirmed that Chaos is observed in the neighborhood of Chenciner bubbles. Furthermore, we observed the Farey sequence in the experimental measurements.