کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8253314 1533612 2018 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Automatic generation of bounds for polynomial systems with application to the Lorenz system
موضوعات مرتبط
مهندسی و علوم پایه فیزیک و نجوم فیزیک آماری و غیرخطی
پیش نمایش صفحه اول مقاله
Automatic generation of bounds for polynomial systems with application to the Lorenz system
چکیده انگلیسی
This study covers an analytical approach to calculate positive invariant sets of dynamical systems. Using Lyapunov techniques and quantifier elimination methods, an automatic procedure for determining bounds in the state space as an enclosure of attractors is proposed. The available software tools permit an algorithmizable process, which normally requires a good insight into the systems dynamics and experience. As a result we get an estimation of the attractor, whose conservatism only results from the initial choice of the Lyapunov candidate function. The proposed approach is illustrated on the well-known Lorenz system.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Chaos, Solitons & Fractals - Volume 113, August 2018, Pages 25-30
نویسندگان
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