کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4624322 1339542 2006 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Asymptotic stability of continuum sets of periodic solutions to systems with hysteresis
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
Asymptotic stability of continuum sets of periodic solutions to systems with hysteresis
چکیده انگلیسی

We consider hysteresis perturbations of a system of ODEs which possesses an asymptotically stable periodic solution z∗. Where the oscillation of an appropriate projection of this periodic solution is smaller than some threshold number defined by the hysteresis nonlinearity, it is shown that the perturbed system has a continuum of periodic solutions with a rather simple structure in a vicinity of z∗. The main result is a theorem on the stability of this continuum.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 319, Issue 1, 1 July 2006, Pages 94-109