کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1139122 1489419 2014 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Piecewise linear differential systems with two real saddles
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی کنترل و سیستم های مهندسی
پیش نمایش صفحه اول مقاله
Piecewise linear differential systems with two real saddles
چکیده انگلیسی

In this paper we study piecewise linear differential systems formed by two regions separated by a straight line so that each system has a real saddle point in its region of definition. If both saddles are conveniently situated, they produce a transition flow from a segment of the splitting line to another segment of the same line, and this produces a generalized singular point on the line. This point is a focus or a center and there can be found limit cycles around it. We are going to show that the maximum number of limit cycles that can bifurcate from this focus is two. One of them appears through a Hopf bifurcation and the second when the focus becomes a node by means of the sliding.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Mathematics and Computers in Simulation - Volume 95, January 2014, Pages 13–22
نویسندگان
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