ON THE DYNAMICS OF SOME DIFFEOMORPHISMS OF d NEAR PARABOLIC FIXED POINTS DAN COMAN AND MARIUS DABIJA

نویسندگان

  • STEPHEN W. SEMMES
  • MARIUS DABIJA
چکیده

In this paper we consider diffeomorphisms of C? of the special form F(z, W) = (w, --z + ~G(w)). For such maps the origin is a parabolic fixed point. Under certain hypotheses on G we prove the existence of a domain R c @ with 0 E aR and of invariant complex cnrves 20 = f(t) and zv = g(z), z E R, for F-l and F, such that Fhn(z,f(z)) t 0 and F”(z,g(z)) + 0 as n + co.

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تاریخ انتشار 2003