julia and mandelbrot sets
1Julia set — In complex dynamics, the Julia set J(f), [Note that in other areas of mathematics the notation J(f), can also represent the Jacobian matrix of a real valued mapping f, between smooth manifolds.] of a holomorphic function f, informally consists of …
2Mandelbrot set — Initial image of a Mandelbrot set zoom sequence with a continuously coloured environment …
3Benoît Mandelbrot — Infobox Scientist name = Benoît Mandelbrot caption = Mandelbrot in 2007 birth date = Birth date and age|df=yes|1924|11|20 birth place = Warsaw, Poland residence = France; United States nationality = French ethnicity = field = Mathematician alma… …
4Ensemble de Mandelbrot — L ensemble de Mandelbrot (en noir) L ensemble de Mandelbrot est une fractale définie comme l ensemble des points c du plan complexe pour lesquels la suite définie par récurrence par  …
5Filled Julia set — The filled in Julia set K(f c) of a polynomial f c is defined as the set of all points z, of dynamical plane that have bounded orbit with respect to f c K(f c) overset{underset{mathrm{def{{=} { z in mathbb{C} : f^{(k)} c (z) ot o infty as k o… …
6Yoccoz, Jean-Christophe — ▪ French mathematician born May 29, 1957, France French mathematician who was awarded the Fields Medal in 1994 for his work in dynamical systems. Yoccoz was educated at the École Normale Supérieure, Paris, and the École Polytechnique …
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8Complex quadratic polynomial — A complex quadratic polynomial is a quadratic polynomial whose coefficients are complex numbers. Contents 1 Forms 2 Conjugation 2.1 Between forms 2.2 With doubling map …
9Newton fractal — Julia set for the rational function associated to Newton s method for ƒ:z→z3−1. The Newton fractal is a boundary set in the complex plane which is characterized by Newton s method applied to a fixed polynomial . It is the …
10Misiurewicz point — A Misiurewicz point is a parameter in the Mandelbrot set (the parameter space of quadratic polynomials) for which the critical point is strictly preperiodic (i.e., it becomes periodic after finitely many iterations but is not periodic itself). By …
