کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
976931 1480194 2007 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Homoclinic bifurcation and chaos in Duffing oscillator driven by an amplitude-modulated force
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Homoclinic bifurcation and chaos in Duffing oscillator driven by an amplitude-modulated force
چکیده انگلیسی

The homoclinic bifurcation and transition from regular to asymptotic chaos in Duffing oscillator subjected to an amplitude modulated force is studied both analytically and numerically. Applying the Melnikov analytical method, the threshold condition for the occurrence of horseshoe chaos is obtained. Melnikov threshold curves are drawn in different external parameters space. Analytical predictions are demonstrated through direct numerical simulations. Parametric regimes where suppression of horseshoe chaos occurs are predicted. Period doubling route to chaos, intermittency route to chaos and quasiperiodic route to chaos are found to occur due to the amplitude-modulated force. Numerical investigations including computation of stable and unstable manifolds of saddle, maximal Lyapunov exponent, Poincaré map and bifurcation diagrams are used to detect homoclinic bifurcation and chaos.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 376, 15 March 2007, Pages 223–236
نویسندگان
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