Summary
International Technical Conference on Circuits/Systems, Computers and Communications
2016
Session Number:W2-2
Session:
Number:W2-2-3
Two Coexisting Two-dimensional Tori Generated in a Three-coupled Delayed Logistic Map
Naohiko Inaba, Munehisa Sekikawa, Daiki Ogusu, Tetsuro Endo ,
pp.803-806
Publication Date:2016/7/10
Online ISSN:2188-5079
Summary:
Quasi-periodic bifurcations have attracted considerable attention in recent years. In this study, we discuss two coexisting two-dimensional tori in an Arnol'd tongue generated in a three coupled delayed logistic map. The two coexisting two-dimensional tori comprise 93 invariant closed curves. One of two-dimensional tori disappear by a quasi-periodic saddle-node bifurcation, and the other two-dimensional torus bifurcates to a three-dimensional torus via a quasi-periodic saddle-node cycle bifurcation. The generation of the three-dimensional torus is confirmed by observing the attractor on a double Poincare section.