کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
840343 908477 2012 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Bifurcation of limit cycles from an nn-dimensional linear center inside a class of piecewise linear differential systems
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Bifurcation of limit cycles from an nn-dimensional linear center inside a class of piecewise linear differential systems
چکیده انگلیسی

Let nn be an even integer. We study the bifurcation of limit cycles from the periodic orbits of the nn-dimensional linear center given by the differential system ẋ1=−x2,ẋ2=x1,…,ẋn−1=−xn,ẋn=xn−1, perturbed inside a class of piecewise linear differential systems. Our main result shows that at most (4n−6)n/2−1(4n−6)n/2−1 limit cycles can bifurcate up to first-order expansion of the displacement function with respect to a small parameter. 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 75, Issue 1, January 2012, Pages 143–152
نویسندگان
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