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A kind of bifurcation of limit cycle from nilpotent critical point
In this paper, an interesting and new bifurcation phenomenon that limit
cycles could be bifurcated from nilpotent node (focus) by changing its
stability was investigated. It is different from lowing its multiplicity in
order to get limit cycles. We prove that limit cycles could be
bifurcated by this way for degree system. Moreover, this upper bound
could be reached. At last, we give two examples to show that and
.Comment: 11 page