226 時間遅れを含む非線形振動系における分岐集合

概要

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This paper studies bifurcation set of a nonlinear system with time delay. It is known that it is difficult to investigate this system by analytical methods, because this system is described by a differnce-differential equation which is usually difficult to solve. To analyze this kind of a system, we have already introduced an averaging method for the functional differential equation. The previous work showed that this averaging method is effective for nonlinear system with time delay. Applying this averaging method, this paper studies bifurcation set of this kind of a system. The result shows that this system have another bifurcation which a system with no time delay does not have. Furthermore, it is shown that the Hopf bifurcation point and another bifurcation point are derived from a saddle-node bifurcation point.
社団法人日本機械学会の論文
2000-09-01