Web4 de jul. de 2005 · Download PDF Abstract: In this study, a theory analogous to both the theories of polynomial-like mappings and Smale's real horseshoes is developed for the study of the dynamics of mappings of two complex variables. In partial analogy with polynomials in a single variable there are the Hénon mappings in two variables as well … Web31 de jul. de 2016 · Applications to complex polynomial dynamics are discussed. \`x^2+y_1+z_12 ... , R. Ptacek and V. Timorin, Quadratic-like dynamics of cubic polynomials, Communications in Mathematical Physics, 341 (2016) , 733-749. doi: 10 ... On the dynamics of polynomial-like mappings, Ann. Sci. École Norm. Sup ...
(PDF) On the dynamics of polynomial-like mappings
Web4 de abr. de 2003 · We give a characterization of rational maps which arise as König's methods of polynomials with ... Argyropoulos N, Böhm A and Drakopoulos V 1997 Julia and Mandelbrot-like sets for higher order König iteration functions ... Douady A and Hubbard J H 1985 On the dynamics of polynomial-like mappings Ann. Sci., Ecole Norm. Sup. … Web29 de out. de 2005 · This is applied to the study of a polynomial map with the following properties: i. infinity is f -attracting; ii. f contracts the line at infinity to a point not in the … theo wharton footballer
[2105.08654v1] The dynamics of complex box mappings
Web27 de nov. de 2015 · The multicorns are the connectedness loci of unicritical antiholomorphic polynomials $\bar{z}^{d}+c$.We investigate the structure of boundaries of hyperbolic components: we prove that the structure of bifurcations from hyperbolic components of even period is as one would expect for maps that depend holomorphically … WebWe consider cubic polynomials with a simple parabolic fixed point of multiplier 1. For those maps, we prove that the boundary of the immediate basin of attraction of the parabolic point is a Jordan curve (except for the polynomial z + z 3 where it consists in two Jordan curves). Moreover, we give a description of the dynamics and obtain the local connectivity of the … Web1 de jan. de 2000 · In this study, a theory analogous to both the theories of polynomial-like mappings and Smale's real horseshoes is developed for the study of the dynamics of mappings of two complex variables. shush by maurice decaul