کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1897264 1044507 2008 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Boundedness and synchronization of y-coupled Lorenz systems with or without controllers
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Boundedness and synchronization of y-coupled Lorenz systems with or without controllers
چکیده انگلیسی

The purpose of this paper is to investigate the boundedness and synchronization of y-coupled Lorenz systems. When the coupling term is only added to the second variable, we call them y-coupled Lorenz systems. In this paper, we first prove the boundedness of y-coupled Lorenz systems, which ensures the existence and uniqueness of the solution when t→∞t→∞. Based on the boundedness, we prove that for y-coupled Lorenz systems, QUAD condition is satisfied. It should be pointed out that QUAD condition plays an essential role in the discussion of synchronization. Based on the boundedness and QUAD condition, we prove that if the coupling is strong enough, the y-coupled Lorenz systems can achieve the complete synchronization globally and exponentially.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 237, Issue 5, 1 May 2008, Pages 630–639
نویسندگان
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