کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5011570 1462598 2017 17 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Limit cycles in planar continuous piecewise linear systems
ترجمه فارسی عنوان
چرخه های محدود در سیستم های خطی مستطیلی مستطیل مسطح
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
چکیده انگلیسی
In this paper an asymmetric planar continuous piecewise linear differential system with three zones x˙=y−F(x),y˙=−g(x) is considered. The aim of this paper gives a completely study of limit cycles when this system satisfies such conditions and the uniqueness equilibrium does not lie in the central region. When (x−x0)g(x)>0 for ∀x ≠ x0 and y=F(x) is a Z-shaped curve, it owns at most two limit cycles, which exist between a linear Hopf bifurcation surface and a double limit cycle bifurcation surface. Moreover, we prove the conjectures proposed by Ponce et al. [27]. When the uniqueness equilibrium lies in the central region, this system has exactly one limit cycles by others. Finally, some numerical examples are demonstrated.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 47, June 2017, Pages 438-454
نویسندگان
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