کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9727533 | 1480203 | 2005 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Bifurcations and chaos in the triple-well Φ6-Van der Pol oscillator driven by external and parametric excitations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
فیزیک ریاضی
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چکیده انگلیسی
The chaotic behavior of a nonlinear damped three-well Φ6-Van der Pol oscillator under external and parametric excitations is studied in detail by means of Melnikov's analysis. The predictions are tested against numerical simulations based on the basin of attraction of initial conditions. It is found that the threshold for the onset of chaos in the system increases as the amplitude of the parametric excitation decreases and increases as the amplitude of the external forcing increases. Additionally, the onset of chaos is studied through analysis of the Poincaré map, a construction of the bifurcation diagrams and a computation of the maximal Lyapunov exponent.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 357, Issues 3â4, 15 November 2005, Pages 383-396
Journal: Physica A: Statistical Mechanics and its Applications - Volume 357, Issues 3â4, 15 November 2005, Pages 383-396
نویسندگان
M. Siewe Siewe, F.M. Moukam Kakmeni, C. Tchawoua, P. Woafo,