کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4976527 1365648 2008 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Chaos in the fractional order unified system and its synchronization
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر پردازش سیگنال
پیش نمایش صفحه اول مقاله
Chaos in the fractional order unified system and its synchronization
چکیده انگلیسی
The chaotic behaviors in the fractional order unified system are numerically investigated. By utilizing the fractional calculus techniques, we found that chaos exists in the fractional order unified system with order less than 3. The lowest order we found to have chaos in this system is 2.76. Chaos synchronization of the fractional order unified system is theoretically and numerically studied using the one-way coupling method. The suitable conditions for achieving synchronization of the fractional order differential system are derived by using the Laplace transform theory. It is noticed that the time required for achieving synchronization of the drive system and the response system and the synchronization effect sensitively depend on the coupling strength. Numerical simulations are performed to verify the theoretical analysis.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of the Franklin Institute - Volume 345, Issue 4, July 2008, Pages 392-401
نویسندگان
, , ,