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- Complex quadratic polynomial Complex quadratic polynomial of the form : belongs to the class of the functions : In Maxima CAS : (%i28) z:zx+zy*%i;14 KB (1,872 words) - 19:28, 5 April 2015
- algorithms for drawing parameter plane ( Mandelbrot set ) for complex quadratic polynomial . One can find different types of points / sets on parameter19 KB (2,025 words) - 09:34, 2 January 2016
- in dynamical plane : Julia, Filled-in Julia or Fatou sets for complex quadratic polynomial. It is divided in 2 parts : description of various algorithms33 KB (3,918 words) - 11:36, 29 November 2015
- for backward iteration Move during iteration in case of complex quadratic polynomial is complex. It consists of 2 moves : angular move = rotation ( see25 KB (1,712 words) - 21:27, 26 December 2015
- Fractals (section Complex quadratic polynomials)Fisher Fragmentarium - GLSL Kalles Fraktaler Mandel - software for real and complex dynamics by Wolf Jung Mandel Machine gnofract Programs by Claude Heiland-Allen7 KB (440 words) - 21:31, 7 February 2016
- Complex quadratic map in wikipedia Michael Yampolsky, Saeed Zakeri : Mating Siegel quadratic polynomials. Mandel: software for real and complex dynamics52 KB (5,032 words) - 11:33, 19 January 2016
- Fractals/mandel (section complex quadratic polynomial)centered form of complex quadratic polynomial : " The Mandelbrot set is based on the one-parameter family of quadratic polynomials fc(z) = z2 + c. "57 KB (8,595 words) - 10:23, 6 January 2016
- and attracting directions in turns near alfa fixed point for complex quadratic polynomials Local holomorphic dynamics of diffeomorphisms in dimension2 KB (147 words) - 14:25, 11 January 2015
- used to analyze dynamics of complex quadratic polynomials. It is dynamical system easier to analyze then complex quadratic map. Note that here chord13 KB (1,385 words) - 10:08, 20 June 2015
- rational maps" due to the Bottcher’s theorem For complex quadratic polynomial there are many superattracting fixed point ( with multiplier32 KB (3,965 words) - 16:28, 17 January 2016
- function = monic and centered complex quadratic polynomial http://en.wikipedia.org/wiki/Complex_quadratic_polynomial */ f(z,c):=z*z+c $ /* iterated15 KB (1,590 words) - 18:10, 19 December 2015
- Claude Heiland-Allen use center and radius for parameter plane of complex quadratic polynomial: Radius is defined as "the difference in imaginary coordinate44 KB (4,549 words) - 15:37, 6 February 2016
- In case of discrete dynamical system based on complex quadratic polynomial Fatou set can consist of components : attarcting ( basin of attraction of fixed2 KB (140 words) - 11:39, 29 November 2015
- orbit is the point from parameter plane to be estimated is the complex quadratic polynomial is the -fold iteration of is any of the points that make45 KB (2,536 words) - 14:25, 11 January 2015
- can find unofficial docs about it draws parameter plane of complex quadratic polynomial with boundary of Mandelbrot set License GPL3+ perturbation technique12 KB (1,358 words) - 10:56, 24 December 2015
- Le Roux, F The Dynamics of Complex Polynomial Vector Fields in C by Kealey Dias LIMITS OF DEGENERATE PARABOLIC QUADRATIC RATIONAL MAPS by XAVIER BUFF46 KB (3,998 words) - 10:04, 2 January 2016
- Fractals/Mathematics/Newton method (section applications of Newton's method in case of iterated complex quadratic polynomials)console program which - computes external parameter ray - for complex quadratic polynomial fc(z) = z^2+c - uses arbitrary precision ( mpfr) with dynamic48 KB (6,150 words) - 19:33, 14 December 2015
- the Julia set is a Cantor set of circles." Description See complex quadratic polynomial It can be found using Maxima CAS : (%i2) z:zx+zy*%i; (%o2)29 KB (4,160 words) - 19:15, 7 December 2015
- Fractals/Mathematics/group (section Polynomial)points of period n hyperbolic components of Mandelbrot set. For complex quadratic polynomials ( degree = 2) and period 3 : ExternalAnglesRelation(2,3); <equivalence20 KB (2,486 words) - 08:25, 19 January 2016
- roots the resulting polynomial will be if you switch the 2 and the 5 around. If we need to find the roots of a given quadratic function we have two5 KB (492 words) - 09:23, 12 November 2014