کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
839135 908393 2007 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Hopf bifurcation of a nonlinear delayed system of machine tool vibration via pseudo-oscillator analysis
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Hopf bifurcation of a nonlinear delayed system of machine tool vibration via pseudo-oscillator analysis
چکیده انگلیسی

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.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Real World Applications - Volume 8, Issue 5, December 2007, Pages 1561–1568
نویسندگان
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