On the Number and Distribution of Limit Cycles in a cubic System
نویسندگان
چکیده
A part of the well-known Hilbert’s 16th problem is to consider the existence of maximal number of limit cycles for a general planar polynomial system. In general, this is a very difficult question and it has been studied by many mathematicians (see e.g. [Bautin, 1952; Zhang et al., 2004]). By [Ye, 1986] we know that there exists a quadratic system having four limit cycles. [Bautin, 1952] proved that any quadratic system has at most three limit cycles with small amplitude. Recently, the authors [Han et al., 2004] found a cubic system which has ten limit cycles with small amplitude. [Li & Huang, 1986] and [Li & Liu, 1991] respectively studied the following cubic systems
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ورودعنوان ژورنال:
- I. J. Bifurcation and Chaos
دوره 14 شماره
صفحات -
تاریخ انتشار 2004