CHECKERBOARD JULIA SETS FOR RATIONAL MAPS

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Checkerboard Julia Sets for Rational Maps

In this paper, we consider the family of rational maps Fλ(z) = z n + λ zd , where n ≥ 2, d ≥ 1, and λ ∈ C. We consider the case where λ lies in the main cardioid of one of the n − 1 principal Mandelbrot sets in these families. We show that the Julia sets of these maps are always homeomorphic. However, two such maps Fλ and Fμ are conjugate on these Julia sets only if the parameters at the center...

متن کامل

Connectivity of Julia Sets for Singularly Perturbed Rational Maps

In this paper we consider the family of rational maps of the form F λ (z) = z n + λ/z n where n ≥ 2. It is known that there are two cases where the Julia sets of these maps are not connected. If the critical values of F λ lie in the basin of ∞, then the Julia set is a Cantor set. And if the critical values lie in the preimage of the basin surrounding the pole at 0, then the Julia set is a Canto...

متن کامل

Sierpiński curve Julia sets for quadratic rational maps

We investigate under which dynamical conditions the Julia set of a quadratic rational map is a Sierpiński curve.

متن کامل

Coding and tiling of Julia sets for subhyperbolic rational maps

Let f : Ĉ → Ĉ be a subhyperbolic rational map of degree d. We construct a set of coding maps Cod(f) = {πr : Σ → J}r of the Julia set J by geometric coding trees, where the parameter r ranges over mappings from a certain tree to the Riemann sphere. Using the universal covering space φ : S̃ → S for the corresponding orbifold, we lift the inverse of f to an iterated function system I = (gi)i=1,2,.....

متن کامل

Rational Maps with Generalized Sierpinski Gasket Julia Sets

We study a family of rational maps acting on the Riemann sphere with a single preperiodic critical orbit. Using a generalization of the well-known Sierpinski gasket, we provide a complete topological description of their Julia sets. In addition, we present a combinatorial algorithm that allows us to show when two such Julia sets are not topologically equivalent.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: International Journal of Bifurcation and Chaos

سال: 2013

ISSN: 0218-1274,1793-6551

DOI: 10.1142/s0218127413300048