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Horseshoe dynamics in Duffing oscillator with fractional damping and multi-frequency excitation | ||
| Journal of Mathematical Modeling | ||
| مقاله 1، دوره 7، شماره 3، آذر 2019، صفحه 263-276 اصل مقاله (1.54 M) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2019.12719.1242 | ||
| نویسندگان | ||
| S. Valli Priyatharsini1؛ M.V Sethu Meenakshi2؛ V. Chinnathambi* 1؛ S. Rajasekar3 | ||
| 1Department of Physics, Sadakathullah Appa College, Tirunelveli-627 011, Tamil Nadu, India (Affliated to Manonmaniam Sundaranar University, Tirunelveli-627012, Tamil Nadu, India) | ||
| 2Department of Mathematics, St. Xavier's College, Tirunelveli -627 002, Tamil Nadu, India | ||
| 3School of Physics, Bharathidasan University, Tiruchirapalli-620 024, Tamil Nadu, India | ||
| چکیده | ||
| The occurrence of horseshoe chaos in Duffing oscillator with fractional damping and multi-frequency excitation is analyzed by using analytical and numerical techniques. Applying Melnikov method, analytical threshold condition for the onset of horseshoe chaos is obtained. The effect of damping exponent and the number of periodic forces on the dynamics of the Duffing oscillator is also analyzed. Due to fractional damping and multi-frequency excitation, suppression of chaos and various nonlinear phenomena are predicted. Analytical predictions are demonstrated through numerical simulations. | ||
| کلیدواژه‌ها | ||
| Duffing oscillator؛ Fractional damping؛ Horseshoe chaos؛ Melnikov meth- od؛ Multi-frequency excitation | ||
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آمار تعداد مشاهده مقاله: 906 تعداد دریافت فایل اصل مقاله: 992 |
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