Article ID Journal Published Year Pages File Type
839135 Nonlinear Analysis: Real World Applications 2007 8 Pages PDF
Abstract

On the basis of the newly developed pseudo-oscillator analysis, the local dynamics near a Hopf bifurcation of a nonlinear delayed system of machine tool vibration is investigated in this paper. Starting from a pseudo-oscillator that is slightly perturbed from an undamped oscillator, the pseudo-oscillator analysis shows that near the Hopf bifurcation, the local dynamics can be justified simply by the properties of the averaged pseudo-power function. Unlike the widely used approaches such as the center manifold reduction, the pseudo-oscillator analysis involves very easy computation and gives prediction of the local dynamics with high accuracy.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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