Douady, A.; Hubbard, J. H. Étude dynamique des polynômes complexes. (Dynamical study of complex polynomials). (French) Zbl 0571.30026 Publ. Math. Orsay 85-04, 138 p. (1984). These notes complete the program begun in the first part [the authors, ibid. 84-02, 75 p. (1984; Zbl 0552.30018)], that is, an extensive study of Mandelbrot set for the functions \(z^ 2+c\), where c is a complex parameter. In particular, it is shown that the local connectivity of M (still an open question) would imply that the interior of M has a relatively ”simple” structure, consisting of what the authors call ”hyperbolic components”. Reviewer: I.N.Baker Cited in 9 ReviewsCited in 11 Documents MSC: 30D05 Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable 37Cxx Smooth dynamical systems: general theory Keywords:Julia sets; complex polynomials; iteration; Mandelbrot Citations:Zbl 0552.30018 PDFBibTeX XML