کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
841885 1470527 2010 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bifurcation of limit cycles from a two-dimensional center inside RnRn
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Bifurcation of limit cycles from a two-dimensional center inside RnRn
چکیده انگلیسی

We study the bifurcation of limit cycles from the periodic orbits of a linear differential system in RnRn perturbed inside a class of piecewise linear differential systems, which appears in a natural way in control theory. Our main result shows that at most one limit cycle can bifurcate up to first-order expansion of the displacement function with respect to the small parameter. This upper bound is reached. For proving this result we use the averaging theory in a form where the differentiability of the system is not needed.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 72, Issues 3–4, 1 February 2010, Pages 1387–1392
نویسندگان
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