Parameter switching in a generalized Duffing system: Finding the stable attractors
نویسندگان
چکیده
This paper presents a simple periodic parameter-switching method which can find any stable limit cycle that can be numerically approximated in a generalized Duffing system. In this method, the initial value problem of the system is numerically integrated and the control parameter is switched periodically within a chosen set of parameter values. The resulted attractor matches with the attractor obtained by using the average of the switched values. The accurate match is verified by phase plots and Hausdorff distance measure in extensive simulations. Keyword Parameter switching; Duffing system; Hausdorff distance; Mathematics Subject Classification: 34D45, 37C60, 70K05
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عنوان ژورنال:
- Applied Mathematics and Computation
دوره 223 شماره
صفحات -
تاریخ انتشار 2013