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Global bifurcations in generic one-parameter families with a parabolic cycle on $S^2$. (arXiv:1707.09779v2 [math.DS] UPDATED)

We classify global bifurcations in generic one-parameter local families of \vfs on $S^2$ with a parabolic cycle. The classification is quite different from the classical results presented in monographs on the bifurcation theory. As a by product we prove that generic families described above are structurally stable.查看全文

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