Limit Cycle Bifurcations of a Special Liénard Polynomial System
نویسندگان
چکیده
In this paper, applying a canonical system with field rotation parameters and using geometric properties of the spirals filling the interior and exterior domains of limit cycles, we solve first the problem on the maximum number of limit cycles surrounding a unique singular point for an arbitrary polynomial system. Then, by means of the same bifurcationally geometric approach, we solve the limit cycle problem for a Liénard system with cubic restoring and polynomial damping functions. AMS Subject Classifications: 34C05, 34C07, 34C23, 37G05, 37G10, 37G15.
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تاریخ انتشار 2014