Видео 33
Просмотров 80 014

2:22

Transition in Mandelbrot set IX

3:01

Evolution in a Julia set III

1:58

Transition in a Julia set III

2:16

Transition in Mandelbrot set VIII

3:05

Evolution of a Julia set I

2:25

Evolution of an attracting basin

The origin z^* = 0 is an attracting fixed point for the Newton function
N(z) = z - (exp(10 z^E) - 1)/(10 E z^(E-1) exp(10 z^E)). The attracting basin od z^* is the set of all points whose orbits converge to z^*. The black region is the exterior of the basin. The different colors depend on the speed of the convergence (in the red and yellow regions this speed is greater than in the regions violet or green).
In this video we will see the evolution of the attracting basin with the exponent E.

Видео

2:22

Evolution in a Mandelbrot set III

Просмотров 1,3 тыс.14 дней назад

We will show the evolution of the Mandelbrot set of the family F(z, c) = z^3 exp(z^3/c^E) being the exponent E greater or equal than 1.

3:01

Transition in Mandelbrot set IX

Просмотров 1,1 тыс.Месяц назад

We will see the transition of the Mandelbrot set of the family F(z, c) = sin^2 (z P) 1/c^E with the exponent E greater or equal than 1.5 and the phase P taking values in [o, 2 pi].

1:58

Evolution in a Julia set III

Просмотров 433Месяц назад

We will see the evolution of the filled Julia set (dark green) of the Newton function N(z) = z - (z^p - z)/(p z^(p-1) - 1) with the exponent p greater or equal than 1.01.

2:16

Transition in a Julia set III

Просмотров 637Месяц назад

We will show the transition in the filled Julia set (dark blue) of the Newton function N(z) = z (cos(z P) - z^p)/(sin(z P) p z ^(p-1)) with the exponent p greater or equal than 6 and the phase P taking values in [0, 2 pi].

3:05

Transition in Mandelbrot set VIII

Просмотров 4,8 тыс.2 месяца назад

We will see the transition in the Mandelbrot set (black) of the family F(z, c) = sin(c^E z @kingofjaya4569 P) where the exponent E takes values in [-3, 3] and the pkase P in [0 2 pi].

2:25

Evolution of a Julia set I

Просмотров 5482 месяца назад

We will see the evolutuon of the filled Julia set of the Newton function F(z) = z - (z^p - 1)/(p z^(p-1)) with the exponent p

2:31

Julia Set Gallery II

Просмотров 3582 месяца назад

We show the filled Julia set of F(z, c) = z^4 @ondacero c. The constant c runs along the boundary of the Mandelbrot set of the family. Firstly, we see the path that c describes in the c-plane.

2:16

Zomm Sequence in a Filled Julia Set

Просмотров 5332 месяца назад

We do a zoom sequence in the filled Julia set (black) of the function F(z) = 2.295 i cosh^8(z 3 pi i/4).

2:54

Transition in Mandelbrot set VI

Просмотров 5253 месяца назад

We will show the transition of the Mandelbrot ser of the family F(z, c) = c^E cos(z^E @kingofjaya4569 P) with the exponent E bigger than 1.1 and the phase P taking values in [0,2 pi].

1:47

Zoom Sequence in Mandelbrot Set II

Просмотров 1,5 тыс.3 месяца назад

We do a zoom sequence in the Mandelbrot set of the family F(z, c) = z^3 c.

1:48

Transition in the Julia set II

Просмотров 2454 месяца назад

We will see the transition of the filled Julia set of the function F(z) = 2.295 i cosh^E(z @user-zw6nu5jq1h i P) with the exponent E = 1, 2, 3,... and the phase P taking values in [0, 2 pi].

1:54

Transition of the Mandelbrot set V

Просмотров 3,2 тыс.4 месяца назад

In this video we show the transition in the Mandelbrot-type set of the family F(z, c) = conj(z)`2 cos(c^E P) depending on the values of the exponent E and the phase P.