کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
758582 896441 2013 10 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On chaos control and synchronization of the commensurate fractional order Liu system
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی مکانیک
پیش نمایش صفحه اول مقاله
On chaos control and synchronization of the commensurate fractional order Liu system
چکیده انگلیسی

In this work, we study chaos control and synchronization of the commensurate fractional order Liu system. Based on the stability theory of fractional order systems, the conditions of local stability of nonlinear three-dimensional commensurate fractional order systems are discussed. The existence and uniqueness of solutions for a class of commensurate fractional order Liu systems are investigated. We also obtain the necessary condition for the existence of chaotic attractors in the commensurate fractional order Liu system. The effect of fractional order on chaos control of this system is revealed by showing that the commensurate fractional order Liu system is controllable just in the fractional order case when using a specific choice of controllers. Moreover, we achieve chaos synchronization between the commensurate fractional order Liu system and its integer order counterpart via function projective synchronization. Numerical simulations are used to verify the analytical results.


► We study the conditions of local stability of nonlinear fractional order system.
► Existence and uniqueness of solutions of the fractional Liu systems are discussed.
► We derive the necessary condition for the existence of chaos in this system.
► We show the effect of fractional order on the chaos control of this system.
► A function projective synchronization technique has been applied to the system.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 18, Issue 5, May 2013, Pages 1193–1202
نویسندگان
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