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Valli Priyatharsini, S., Sethu Meenakshi, M.V, Chinnathambi, V., Rajasekar, S.. (1398). Horseshoe dynamics in Duffing oscillator with fractional damping and multi-frequency excitation. فیزیولوژی و بیوتکنولوژی آبزیان, 7(3), 263-276. doi: 10.22124/jmm.2019.12719.1242
S. Valli Priyatharsini; M.V Sethu Meenakshi; V. Chinnathambi; S. Rajasekar. "Horseshoe dynamics in Duffing oscillator with fractional damping and multi-frequency excitation". فیزیولوژی و بیوتکنولوژی آبزیان, 7, 3, 1398, 263-276. doi: 10.22124/jmm.2019.12719.1242
Valli Priyatharsini, S., Sethu Meenakshi, M.V, Chinnathambi, V., Rajasekar, S.. (1398). 'Horseshoe dynamics in Duffing oscillator with fractional damping and multi-frequency excitation', فیزیولوژی و بیوتکنولوژی آبزیان, 7(3), pp. 263-276. doi: 10.22124/jmm.2019.12719.1242
Valli Priyatharsini, S., Sethu Meenakshi, M.V, Chinnathambi, V., Rajasekar, S.. Horseshoe dynamics in Duffing oscillator with fractional damping and multi-frequency excitation. فیزیولوژی و بیوتکنولوژی آبزیان, 1398; 7(3): 263-276. doi: 10.22124/jmm.2019.12719.1242

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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