Variational approach to a class of nonlinear oscillators with several limit cycles.
نویسندگان
چکیده
We study limit cycles of nonlinear oscillators described by the equation x + nuF(x) + x = 0 with F an odd function. Depending on the nonlinearity, this equation may exhibit one or more limit cycles. We show that limit cycles correspond to relative extrema of a certain functional. Analytical results in the limits nu-->0 and nu-->infinity are in agreement with previously known criteria. For intermediate nu, numerical determination of the limit cycles can be obtained.
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عنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 64 5 Pt 2 شماره
صفحات -
تاریخ انتشار 2001