کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4613027 | 1338720 | 2006 | 22 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Dynamics of systems on infinite lattices
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
The dynamics of infinite-dimensional lattice systems is studied. A necessary and sufficient condition for asymptotic compactness of lattice dynamical systems is introduced. It is shown that a lattice system has a global attractor if and only if it has a bounded absorbing set and is asymptotically null. As an application, it is proved that the lattice reaction–diffusion equation has a global attractor in a weighted l2 space, which is compact as well as contains traveling waves. The upper semicontinuity of global attractors is also obtained when the lattice reaction–diffusion equation is approached by finite-dimensional systems.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Differential Equations - Volume 221, Issue 1, 1 February 2006, Pages 224-245
Journal: Journal of Differential Equations - Volume 221, Issue 1, 1 February 2006, Pages 224-245