کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4630934 1340611 2011 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A homotopy analysis method for limit cycle of the van der Pol oscillator with delayed amplitude limiting
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
A homotopy analysis method for limit cycle of the van der Pol oscillator with delayed amplitude limiting
چکیده انگلیسی

In this work, a powerful analytical method, called Liao’s homotopy analysis method is used to study the limit cycle of a two-dimensional nonlinear dynamical system, namely the van der Pol oscillator with delayed amplitude limiting. It is shown that the solutions are valid for a wide range of variation of the system parameters. Comparison of the obtained solutions with those achieved by numerical solutions and by other perturbation techniques shows that the utilized method is effective and convenient to solve this type of problems with the desired order of approximation.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 217, Issue 22, 15 July 2011, Pages 9404–9411
نویسندگان
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