کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5026177 1369861 2016 31 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A new fractional-order chaotic system and its synchronization via Lyapunov and improved Laplacian-based method
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
A new fractional-order chaotic system and its synchronization via Lyapunov and improved Laplacian-based method
چکیده انگلیسی
In this paper, we propose a new three-dimensional fractional-order chaotic system with four nonlinear terms. The continuous fractional-order system is solved as a discrete map by employing Adomian Decomposition Method (ADM). Corresponding phase portraits for commensurate system are investigated and all Lyapunov characteristic exponents are calculated based on the QR decomposition method. It is found that the proposed fractional-order system exhibits chaotic behavior with fractional order less than three. Moreover, the problem of master-slave synchronization for commensurate system is considered and Lyapunov-based and modified versions of Laplacian-based synchronization methods are employed for this purpose. Simulation results for synchronization of the new system with these methods are presented. Effectiveness of these synchronization methods are compared against each other based on different performance criteria which shows the superiority of the modified Laplacian-based
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Optik - International Journal for Light and Electron Optics - Volume 127, Issue 24, December 2016, Pages 11717-11731
نویسندگان
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