Summary
Proceedings of the 2012 International Symposium on Nonlinear Theory and its Applications
2012
Session Number:D1L-B
Session:
Number:783
Improvement of the Saddle Unstable Invariant Closed Curve (UICC) Pursuit Algorithm -The Case of a Saddle UICC Between Two Stable ICCs-
Kyohei Kamiyama, Motomasa Komuro, Tetsuro Endo,
pp.783-784
Publication Date:
Online ISSN:2188-5079
Summary:
Recently, we develop a new algorithm for obtaining a saddle unstable invariant closed curve (UICC). As a first step, we have been already succeeded in deriving a saddle UICC in a basin boundary of a stable fixed point and a stable ICC, taking an example of a ring of two-coupled hard-type oscillators. But, we cannot obtain a saddle UICC in a basin boundary of two stable ICCs in the conventional algorithm. In this paper, we improve our algorithm in order that this algorithm works for a saddle UICC sandwiched between two stable ICCs, taking an example of a ring of six-coupled oscillators.
References:
[1] K. Kamiyama, M. Komuro, and T. Endo, “Bifurcation of quasi-periodic oscillations in mutually coupled hard-type oscillators -demonstration of unstable quasiperiodic orbits-,” International Journal of Bifurcation and Chaos, To be published in 2012.