Linear Estimate of the Number of Limit Cycles for a Class of Non-linear Systems ⋆
نویسندگان
چکیده
A dynamic system has a finite number of limit cycles. However, finding the upper bound of the number of limit cycles is an open problem for general non-linear dynamical systems. In this paper, we investigated a class of non-linear systems under perturbations. We proved that the upper bound of the number of zeros of the related elliptic integrals of the given system is 7n + 5 including multiple zeros, which also gives the upper bound of the number of limit cycles for the given system.
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تاریخ انتشار 2005