کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9501591 1338755 2005 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The effect of inversely unstable solutions on the attractor of the forced pendulum equation with friction
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
The effect of inversely unstable solutions on the attractor of the forced pendulum equation with friction
چکیده انگلیسی
Consider the attractor A of a periodically forced equation of pendulum type with linear friction, in the cylinder. Levi and independently Min, Xian and Jinyan show that if the friction coefficient is larger than a certain bound then A is homeomorphic to the circle. We shall give a topological version of the definition of inversely unstable solution of N. Levinson and show that the appearance of such solutions imply that A is not homeomorphic to the circle. As an application we shall show that the bounds on the friction coefficient obtained before are optimal.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 212, Issue 2, 15 May 2005, Pages 351-365
نویسندگان
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